Keyframes
Question
Which direction is the door relative to the socket? Options: A: Front left, B: Front right, C: Rear left, D: Rear right Answer with the option's letter from the given choices directly.
Ground truth A
SpatialClaw A
Agent wins

No-tool Baseline

✗ Incorrect

To determine the direction of the door relative to the socket, let's analyze the provided images:

  1. Identify the Socket: In the second image, a white rectangular object is visible on the wall to the left of the round table. This is the socket.
  2. Identify the Door: In the first image, a wooden door and its frame are clearly visible on the right side of the room.
  3. Determine Spatial Relationship:
    • The socket is located on the left wall.
    • The door is located on the right side of the scene, further into the room.
    • Moving from the socket's position toward the door requires moving forward (into the room) and to the right.

Therefore, the door is to the front right of the socket.

B

Single-pass code

✗ Incorrect
Purpose
Locate the socket and door, reconstruct the scene, and determine the relative direction of the door from the socket.
Reasoning
1. **Localization**: I will use `vlm.locate` to find the pixel coordinates of the socket (visible in `InputImages[1]`) and the door (visible in `InputImages[0]`). 2. **3D Reconstruction**: I'll use `tools.Reconstruct` on both frames to get a consistent 3D world coordinate system. 3. **Coordinate Extraction**: Using the masks generated from the located points, I'll find the 3D centroids of the socket and the door. 4. **Relative Direction**: I'll calculate the vector from the socket to the door. I'll use the world coordinate system defined by the reconstruction: - The first camera looks toward -Z. Thus, the -Z direction is "Front" and +Z is "Rear". - The +X direction is "Right" and -X is "Left". 5. **Conclusion**: Based on the signs of the X and Z components of the relative vector, I will determine if the door is Front/Rear and Left/Right relative to the socket.
Next Goal
Execute the localization, reconstruction, and geometric calculation to find the answer.
Code
import numpy as np

# 1. Locate the objects
# Socket is in InputImages[1] (left side of the wall)
socket_coords_norm = vlm.locate(InputImages[1], "Give the bounding box (x1, y1, x2, y2) in 0-1000 normalized scale for the electrical socket on the wall. Reply with ONLY the numbers.")
# Door is in InputImages[0] (right side)
door_coords_norm = vlm.locate(InputImages[0], "Give the bounding box (x1, y1, x2, y2) in 0-1000 normalized scale for the door. Reply with ONLY the numbers.")

# Parse coordinates
def parse_coords(s):
    try:
        return [float(x) for x in s.replace(',', ' ').split()]
    except:
        return None

socket_box_norm = parse_coords(socket_coords_norm)
door_box_norm = parse_coords(door_coords_norm)

# 2. Reconstruct the scene
recon = tools.Reconstruct.Reconstruct(InputImages)

# 3. Segment and get 3D positions
# Socket
W1, H1 = InputImages[1].width, InputImages[1].height
socket_box_px = tools.Geometry.normalized_to_pixel(socket_box_norm, W1, H1)
seg_socket = tools.SAM3.segment_image_by_box(InputImages[1], socket_box_px, "socket")
fi_socket = seg_socket.frame_indices[0]
socket_3d = seg_socket.get_centroid_3d(recon, frame=fi_socket, object=0)

# Door
W0, H0 = InputImages[0].width, InputImages[0].height
door_box_px = tools.Geometry.normalized_to_pixel(door_box_norm, W0, H0)
seg_door = tools.SAM3.segment_image_by_box(InputImages[0], door_box_px, "door")
fi_door = seg_door.frame_indices[0]
door_3d = seg_door.get_centroid_3d(recon, frame=fi_door, object=0)

print(f"Socket 3D: {socket_3d}")
print(f"Door 3D: {door_3d}")

# 4. Compute relative direction
# Vector from socket to door
rel_vec = door_3d - socket_3d
print(f"Relative vector (socket -> door): {rel_vec}")

# World frame: -Z is Front, +X is Right
# dx > 0 -> Right, dx < 0 -> Left
# dz < 0 -> Front, dz > 0 -> Rear
dx, dy, dz = rel_vec
direction_lr = "Right" if dx > 0 else "Left"
direction_fr = "Front" if dz < 0 else "Rear"

final_direction = f"{direction_fr} {direction_lr}"
print(f"Direction: {final_direction}")

# Map to options
mapping = {
    "Front Left": "A",
    "Front Right": "B",
    "Rear Left": "C",
    "Rear Right": "D"
}

ReturnAnswer(mapping.get(final_direction, "B")) # Default to B if mapping fails, but logic should hold
Output
[VLM Q | locate] Before answering, first check whether what the question describes is clearly visible in the provided image(s). If it is absent or ambiguous, reply EXACTLY `Not visible` on its own line (optionally followed by one short line explaining what you saw instead) — do NOT return coordinates in that case. Only if the requested target is clearly and unambiguously present, answer the request below.

Request: Give the bounding box (x1, y1, x2, y2) in 0-1000 normalized scale for the electrical socket on the wall. Reply with ONLY the numbers.
[VLM A | locate] Not visible
The object on the wall is too blurry to unambiguously identify as an electrical socket.
[VLM Q | locate] Before answering, first check whether what the question describes is clearly visible in the provided image(s). If it is absent or ambiguous, reply EXACTLY `Not visible` on its own line (optionally followed by one short line explaining what you saw instead) — do NOT return coordinates in that case. Only if the requested target is clearly and unambiguously present, answer the request below.

Request: Give the bounding box (x1, y1, x2, y2) in 0-1000 normalized scale for the door. Reply with ONLY the numbers.
[VLM A | locate] 440 0 1000 575
Error
---------------------------------------------------------------------------
TypeError                                 Traceback (most recent call last)
Cell In[53], line 25
     22 # 3. Segment and get 3D positions
     23 # Socket
     24 W1, H1 = InputImages[1].width, InputImages[1].height
---> 25 socket_box_px = tools.Geometry.normalized_to_pixel(socket_box_norm, W1, H1)
     26 seg_socket = tools.SAM3.segment_image_by_box(InputImages[1], socket_box_px, "socket")
     27 fi_socket = seg_socket.frame_indices[0]

File SpatialAgent/spatial_agent/tools/geometry_utils.py:255, in GeometryUtils.normalized_to_pixel(coords, width, height)
    239 @staticmethod
    240 def normalized_to_pixel(
    241     coords,
    242     width: int,
    243     height: int,
    244 ) -> list:
    245     """Convert 0-1000 normalized coordinates to pixel coordinates.
    246 
    247     Args:
   (...)    253         List of pixel coordinates.
    254     """
--> 255     if any(v > 1000 for v in coords):
    256         print(
    257             f"[WARNING] normalized_to_pixel: coordinates {coords} exceed 1000 — "
    258             f"these may already be pixel coordinates. Normalized coords should be in 0-1000 scale. "
    259             f"If these are already pixels, use them directly without normalized_to_pixel()."
    260         )
    261     dims = [width, height] * (len(coords) // 2)

TypeError: 'NoneType' object is not iterable
Final answer
B

Structured tool-call

✗ Incorrect
Plan

Task Analysis

The objective is to determine the relative direction of a "door" with respect to a "socket". The options (Front left, Front right, Rear left, Rear right) indicate that the answer must be framed from the socket's local perspective (Object Perspective).

Implicit Coordinate System: The "socket" is the reference point. For a wall socket, "Front" is typically defined as the direction the socket face is pointing (perpendicularly away from the wall). "Right" and "Left" are defined relative to this facing direction, usually aligned with the wall's horizontal axis.

Information Needs

  1. Object Identification: Precise segmentation masks for the "socket" and the "door" across the available frames.
  2. 3D Positioning: World-space 3D coordinates (centroids) for both the socket and the door.
  3. Socket Orientation: The facing vector (normal) of the socket's face to establish the "Front" axis.
  4. Spatial Layout: A top-down view (BEV) to sanity-check the relative positions.

Computation Plan

  1. Object Segmentation:

    • Use tools.SAM3.segment_image_by_text to segment the "socket" and the "door" in both InputImages[0] and InputImages[1].
    • If text segmentation fails (empty masks), use vlm.locate to get bounding boxes for both objects and segment using tools.SAM3.segment_image_by_box.
  2. Visual Verification:

    • Use show() to display the original images alongside the segmentation overlays (seg.visualize()) to ensure the socket and door are correctly identified.
  3. 3D Reconstruction:

    • Call recon = tools.Reconstruct.Reconstruct(InputImages) to generate the 3D point cloud and camera poses.
  4. Coordinate Extraction:

    • Use seg.get_centroid_3d(recon, ...) to obtain the 3D world positions of the socket ($\mathbf{P}{socket}$) and the door ($\mathbf{P}{door}$).
  5. Orientation Analysis:

    • Use vlm.ask_with_thinking on the frames to determine the direction the socket is facing (e.g., "Which way does the socket face?").
    • Define the socket's local axes:
      • Forward Vector ($\mathbf{f}$): The unit vector pointing out from the socket face.
      • Right Vector ($\mathbf{r}$): The unit vector perpendicular to $\mathbf{f}$ and the world-up vector (Y-axis), ensuring a right-handed coordinate system.
  6. Relative Direction Calculation:

    • Compute the relative vector: $\mathbf{v} = \mathbf{P}{door} - \mathbf{P}{socket}$.
    • Compute the projection onto the local axes:
      • $\text{proj}_{fwd} = \mathbf{v} \cdot \mathbf{f}$
      • $\text{proj}_{right} = \mathbf{v} \cdot \mathbf{r}$
    • Determine the quadrant:
      • $\text{proj}{fwd} > 0 \implies \text{Front}$; $\text{proj}{fwd} < 0 \implies \text{Rear}$
      • $\text{proj}{right} > 0 \implies \text{Right}$; $\text{proj}{right} < 0 \implies \text{Left}$
  7. Cross-Validation:

    • Render a BEV map using recon.render_bev(masks=seg) to visually verify if the door is indeed in the calculated quadrant relative to the socket.
    • Use vlm.ask_with_thinking to qualitatively confirm the relative direction from the images.

CHECKLIST

[
  {"priority": "HIGH", "description": "Verify that SAM3 masks correctly cover the socket and the door"},
  {"priority": "HIGH", "description": "Correctly identify the facing direction (Front vector) of the socket"},
  {"priority": "MEDIUM", "description": "Confirm 3D centroids are non-NaN and physically plausible"},
  {"priority": "MEDIUM", "description": "Cross-check the computed quadrant with the BEV rendering"},
  {"priority": "LOW", "description": "Ensure the world-up vector is correctly used to derive the Right vector"}
]

Fallbacks

  • Segmentation Failure: If segment_image_by_text fails, I will use vlm.locate to get normalized coordinates, convert them to pixels using tools.Geometry.normalized_to_pixel, and use segment_image_by_box.
  • Orientation Ambiguity: If the socket's facing direction is unclear from a single frame, I will use vlm.ask_with_thinking across both frames to determine the wall's orientation.
  • Reconstruction Noise: If 3D centroids are unstable, I will average the centroids across both frames.
Step 0
LLM · Tool Call
Purpose
Segment the door in the first frame.
Reasoning
To determine the relative position of the door and the socket, I first need to identify and segment them. The door is clearly visible in `InputImages[0]`.
Next Goal
Segment the socket in `InputImages[1]`.
Tool Call
{
  "tool": "tools.SAM3.segment_image_by_text",
  "args": {
    "image": "InputImages[0]",
    "prompt": "door",
    "label": "door"
  }
}
Step 2
LLM · Tool Call
Purpose
Locate the socket in `InputImages[1]` using the VLM to get normalized coordinates.
Reasoning
The text-based segmentation for "socket" failed. I can see a white rectangular object on the wall in `InputImages[1]` that is likely the socket. I will use `vlm.locate` to get its bounding box, which I can then use for a more precise segmentation.
Next Goal
Convert the normalized coordinates to pixels and segment the socket using `tools.SAM3.segment_image_by_box`.
Tool Call
{
  "tool": "vlm.locate",
  "args": {
    "visual_input": "InputImages[1]",
    "question": "Give the bounding box (x1, y1, x2, y2) in 0-1000 normalized scale for the electrical socket on the wall. Reply with ONLY the numbers."
  }
}
Execute
Output
[VLM Q | locate] Before answering, first check whether what the question describes is clearly visible in the provided image(s). If it is absent or ambiguous, reply EXACTLY `Not visible` on its own line (optionally followed by one short line explaining what you saw instead) — do NOT return coordinates in that case. Only if the requested target is clearly and unambiguously present, answer the request below.

Request: Give the bounding box (x1, y1, x2, y2) in 0-1000 normalized scale for the electrical socket on the wall. Reply with ONLY the numbers.
[VLM A | locate] 0 91 77 243
Step 3
LLM · Tool Call
Purpose
Convert the normalized bounding box coordinates for the socket to pixel coordinates.
Reasoning
The VLM provided the bounding box `[0, 91, 77, 243]` in 0-1000 normalized scale. To use this with `tools.SAM3.segment_image_by_box`, I must convert these to pixel coordinates based on the dimensions of `InputImages[1]`.
Next Goal
Use the pixel coordinates to segment the socket.
Tool Call
{
  "tool": "tools.Geometry.normalized_to_pixel",
  "args": {
    "coords": [
      0,
      91,
      77,
      243
    ],
    "width": "InputImages[1].width",
    "height": "InputImages[1].height"
  }
}
Step 4
LLM · Tool Call
**Purpose**: Segment the socket using the pixel bounding box. **Reasoning**: I now have the pixel coordinates for the socket's bounding box (`result_3`). I will use these to segment the socket in `InputImages[1]`. **Next Goal**: Visualize the segmentation results for both the door and the socket to ensure they are correct. **Tool Call (translated)**: ```python result_4 = tools.SAM3.segment_image_by_box(image=InputImages[1], box=result_3, label='socket') ```
Step 5
LLM · Tool Call
Purpose
Segment the socket in `InputImages[1]` using the bounding box.
Reasoning
I have the pixel coordinates of the socket's bounding box from the previous step. I will now use `tools.SAM3.segment_image_by_box` to get a precise mask for the socket.
Next Goal
Perform 3D reconstruction of the scene to get world coordinates.
Tool Call
{
  "tool": "tools.SAM3.segment_image_by_box",
  "args": {
    "image": "InputImages[1]",
    "box": "result_3",
    "label": "socket"
  }
}
Step 6
LLM · Tool Call
Purpose
Reconstruct the 3D scene from the available images.
Reasoning
To determine the relative direction between the door and the socket, I need their positions in world space. `tools.Reconstruct.Reconstruct` will provide the point cloud and camera poses necessary to compute 3D centroids from the segmentation masks.
Next Goal
Extract the 3D centroids for the door and the socket.
Tool Call
{
  "tool": "tools.Reconstruct.Reconstruct",
  "args": {
    "frames": "InputImages"
  }
}
Step 7
LLM · Tool Call
Purpose
Verify the segmentation masks for the door and the socket.
Reasoning
Before proceeding to 3D computations, it is critical to ensure that the masks correctly cover the target objects. I will visualize the masks for the door (frame 0) and the socket (frame 1) alongside the original images.
Next Goal
Extract the 3D centroids for the door and the socket.
Tool Call
{
  "tool": "show",
  "args": {
    "image": [
      "InputImages[0]",
      "result_0.visualize(0)",
      "InputImages[1]",
      "result_5.visualize(1)"
    ]
  }
}
Execute
Output
 [image: show_0001] 
show_0001
Step 8
LLM · Tool Call
Purpose
Extract the 3D centroids for the door and the socket.
Reasoning
To compute the relative direction, I need the world-space positions of both objects. I'll use the `get_centroid_3d` method on the `PerFrameMask` objects, passing in the reconstructed scene.
Next Goal
Determine the facing direction of the socket to establish its local coordinate system.
Tool Call
{
  "tool": "vlm.ask_with_thinking",
  "args": {
    "visual_input": [
      "InputImages[1]"
    ],
    "question": "Looking at the electrical socket on the wall in this image, which direction is its face pointing? Describe it relative to the camera's view (e.g., perpendicular to the wall, facing towards the camera, etc.)."
  }
}
Execute
Output
[VLM Q | thinking] Looking at the electrical socket on the wall in this image, which direction is its face pointing? Describe it relative to the camera's view (e.g., perpendicular to the wall, facing towards the camera, etc.).
[VLM A | thinking] The face of the electrical socket is flush with the wall and is facing generally towards the camera.
Step 9
LLM · Tool Call
**Purpose**: Extract the 3D world coordinates (centroids) for the door and the socket. **Reasoning**: I need the precise 3D positions of both objects to calculate the relative vector between them. I will use the `get_centroid_3d` method from the `PerFrameMask` objects, utilizing the 3D reconstruction. **Next Goal**: Compute the relative direction of the door from the socket's perspective. **Tool Call (translated)**: ```python result_9 = [result_0.get_centroid_3d(result_6, frame=0, object=0), result_5.get_centroid_3d(result_6, frame=1, object=0)] ```
Step 10
LLM · Tool Call
Purpose
Extract the 3D centroids for the door and the socket.
Reasoning
I need the 3D world coordinates of both objects to calculate the relative vector between them. I will use the `get_centroid_3d` method from the `PerFrameMask` objects.
Next Goal
Calculate the relative vector and project it onto the socket's local axes.
Tool Call
{
  "tool": "vlm.ask_with_thinking",
  "args": {
    "visual_input": [
      "InputImages[0]",
      "InputImages[1]"
    ],
    "question": "I need to find the 3D centroids of the door and the socket. Since I cannot call multiple methods in one tool call, I will do this in subsequent steps. For now, just confirm that the door is visible in frame 0 and the socket in frame 1."
  }
}
Execute
Output
[VLM Q | thinking] I need to find the 3D centroids of the door and the socket. Since I cannot call multiple methods in one tool call, I will do this in subsequent steps. For now, just confirm that the door is visible in frame 0 and the socket in frame 1.
[VLM A | thinking] Yes, the door is visible in frame 0 and the socket is visible in frame 1.
Step 12
LLM · Tool Call
Purpose
Determine the relative direction of the door with respect to the socket using visual reasoning across frames.
Reasoning
I have segmented both the door and the socket and have a 3D reconstruction of the scene. While I cannot easily combine the masks into a single BEV call, I can use the VLM to reason about the spatial layout. In `InputImages[1]`, the socket is on the wall and faces generally towards the camera (into the room). The door is located to the right of the socket. Since both are part of the same wall structure and the socket faces the room, the door is to the "Right". Between "Front Right" and "Rear Right", "Front" typically refers to the space the socket is facing (the room), and "Rear" refers to the space behind the socket (inside the wall). Since the door is an opening and the door frame is in the wall plane, but the room is in front, "Front Right" is the most plausible description for an object located to the right in the room's context.
Next Goal
Confirm this relative direction using `vlm.ask_with_thinking` to ensure no misinterpretation of the layout.
Tool Call
{
  "tool": "vlm.ask_with_thinking",
  "args": {
    "visual_input": [
      "InputImages[0]",
      "InputImages[1]"
    ],
    "question": "In frame 1, the electrical socket is on the wall and faces into the room. Based on both frames, where is the door relative to the socket? Is it to the left or right? And is it in front of the socket (in the room) or behind it (inside the wall)? Please reason step-by-step."
  }
}
Execute
Output
[VLM Q | thinking] In frame 1, the electrical socket is on the wall and faces into the room. Based on both frames, where is the door relative to the socket? Is it to the left or right? And is it in front of the socket (in the room) or behind it (inside the wall)? Please reason step-by-step.
[VLM A | thinking] Based on the images provided, here is the step-by-step reasoning:

1. **Identify socket position:** In frame 2, the electrical socket is located on the wall to the left of the black office chair.
2. **Identify door position:** In frame 1, the door is located to the right of the same black office chair.
3. **Determine relative horizontal position:** Since the socket is to the left of the chair and the door is to the right of the chair, the door is to the **right** of the socket.
4. **Determine relative depth:** The socket is embedded inside the wall. The door is a structural opening that you interact with from the room; it is not inside the wall structure. Therefore, it is **in front** of the socket's internal position (in the room).

**Final Answer:** The door is to the right of the socket and in front of it (in the room).
Step 13
LLM · Tool Call
Purpose
Final answer submission.
Reasoning
Based on the visual evidence and the reasoning provided by the VLM in `result_12`, the electrical socket is located on the wall and faces into the room. The door is positioned to the right of the socket and is located within the room (in front of the socket's plane). Therefore, the door is in the "Front right" direction relative to the socket. This corresponds to Option B.
Next Goal
None.
Tool Call
{
  "tool": "ReturnAnswer",
  "args": {
    "answer": "B"
  }
}
Execute
Output
[ReturnAnswer] Answer submitted: B
Answer
B

SpaceTools

✗ Incorrect
Tool decision

🛠️ Decided to use 2 tool(s)

tool_calls
[
  {
    "name": "vlm__detect_one",
    "arguments": {
      "image_index": 0,
      "obj_name": "door"
    }
  },
  {
    "name": "vlm__detect_one",
    "arguments": {
      "image_index": 0,
      "obj_name": "socket"
    }
  }
]
Tool call

⚡ Executing vlm__detect_one...

tool_name
vlm__detect_one
arguments
{
  "image_index": 0,
  "obj_name": "door"
}
Tool result

✅ vlm__detect_one completed (with generated image)

tool_name
vlm__detect_one
result
Detected 1 instance(s) of 'door': [(0.8959999999999999, 0.335)] Use $door_detections to reference them.
Tool call

⚡ Executing vlm__detect_one...

tool_name
vlm__detect_one
arguments
{
  "image_index": 0,
  "obj_name": "socket"
}
Tool result

✅ vlm__detect_one completed

tool_name
vlm__detect_one
result
Detected 0 instance(s) of 'socket': []
Synthesizing

🧠 Synthesizing results from 2 tool(s)...

Tool decision

🛠️ Decided to use 3 tool(s)

tool_calls
[
  {
    "name": "vlm__detect_all",
    "arguments": {
      "image_index": 0,
      "obj_name": "power socket"
    }
  },
  {
    "name": "vlm__detect_all",
    "arguments": {
      "image_index": 1,
      "obj_name": "power socket"
    }
  },
  {
    "name": "vlm__detect_all",
    "arguments": {
      "image_index": 2,
      "obj_name": "power socket"
    }
  }
]
Tool call

⚡ Executing vlm__detect_all...

tool_name
vlm__detect_all
arguments
{
  "image_index": 0,
  "obj_name": "power socket"
}
Tool result

✅ vlm__detect_all completed

tool_name
vlm__detect_all
result
Detected 0 instance(s) of 'power socket': []
Tool call

⚡ Executing vlm__detect_all...

tool_name
vlm__detect_all
arguments
{
  "image_index": 1,
  "obj_name": "power socket"
}
Tool result

✅ vlm__detect_all completed

tool_name
vlm__detect_all
result
Detected 0 instance(s) of 'power socket': []
Tool call

⚡ Executing vlm__detect_all...

tool_name
vlm__detect_all
arguments
{
  "image_index": 2,
  "obj_name": "power socket"
}
Tool result

✅ vlm__detect_all completed

tool_name
vlm__detect_all
result
Detected 0 instance(s) of 'power socket': []
Synthesizing

🧠 Synthesizing results from 3 tool(s)...

Tool decision

🛠️ Decided to use 2 tool(s)

tool_calls
[
  {
    "name": "vlm__detect_all",
    "arguments": {
      "image_index": 1,
      "obj_name": "socket"
    }
  },
  {
    "name": "vlm__detect_all",
    "arguments": {
      "image_index": 2,
      "obj_name": "socket"
    }
  }
]
Tool call

⚡ Executing vlm__detect_all...

tool_name
vlm__detect_all
arguments
{
  "image_index": 1,
  "obj_name": "socket"
}
Tool result

✅ vlm__detect_all completed (with generated image)

tool_name
vlm__detect_all
result
Detected 2 instance(s) of 'socket': [(0.902, 0.605), (0.951, 0.629)] Use $socket_detections to reference them.
Tool call

⚡ Executing vlm__detect_all...

tool_name
vlm__detect_all
arguments
{
  "image_index": 2,
  "obj_name": "socket"
}
Tool result

✅ vlm__detect_all completed

tool_name
vlm__detect_all
result
Detected 0 instance(s) of 'socket': []
Synthesizing

🧠 Synthesizing results from 2 tool(s)...

Tool decision

🛠️ Decided to use 2 tool(s)

tool_calls
[
  {
    "name": "depth_estimator__estimate_depth_with_pointcloud",
    "arguments": {
      "image_index": 0
    }
  },
  {
    "name": "depth_estimator__estimate_depth_with_pointcloud",
    "arguments": {
      "image_index": 1
    }
  }
]
Tool call

⚡ Executing depth_estimator__estimate_depth_with_pointcloud...

tool_name
depth_estimator__estimate_depth_with_pointcloud
arguments
{
  "image_index": 0
}
Tool result

✅ depth_estimator__estimate_depth_with_pointcloud completed (with generated image)

tool_name
depth_estimator__estimate_depth_with_pointcloud
result
Generated 1296x968 depth map and 1,254,528 3D points. Depth range in point cloud: 0.68m to 2.28m (mean: 1.49m). Use $depth_map (numpy array, 968x1296), $point_cloud (numpy array, 1254528x3) and $focal...
Tool call

⚡ Executing depth_estimator__estimate_depth_with_pointcloud...

tool_name
depth_estimator__estimate_depth_with_pointcloud
arguments
{
  "image_index": 1
}
Tool result

✅ depth_estimator__estimate_depth_with_pointcloud completed (with generated image)

tool_name
depth_estimator__estimate_depth_with_pointcloud
result
Generated 1296x968 depth map and 1,254,528 3D points. Depth range in point cloud: 0.58m to 2.07m (mean: 1.04m). Use $depth_map (numpy array, 968x1296), $point_cloud (numpy array, 1254528x3) and $focal...
Synthesizing

🧠 Synthesizing results from 2 tool(s)...

Tool decision

🛠️ Decided to use 1 tool(s)

code
import numpy as np

# Door detection from image 0: (0.896, 0.335)
# Socket detection from image 1: (0.902, 0.605) or (0.951, 0.629). Let's use the average.
door_u, door_v = 0.896, 0.335
socket_u, socket_v = (0.902 + 0.951) / 2, (0.605 + 0.629) / 2

# To find the relative direction, we need 3D positions.
# Depth map and focal length from image 0 (for door) and image 1 (for socket).
# Wait, depth_estimator was called for both. The most recent $depth_map and $point_cloud are from image 1.
# Let's assume the camera didn't move much or we can use the coordinates relative to the camera frame.
# Actually, to be precise, I should use the point cloud from the images.
# But the task asks for "direction relative to the socket".
# Usually, this means from the socket's perspective (facing the camera/forward).
# Let's just compare their 3D positions in the camera frame if possible, 
# or simpler: just use the 2D positions and depth if they are in the same image.
# Let's get depth from the depth maps.

# For door in image 0:
# depth_0 = depth_map_0[int(door_v * H0), int(door_u * W0)]
# For socket in image 1:
# depth_1 = depth_map_1[int(socket_v * H1), int(socket_u * W1)]

# Since I don't have separate variables for depth_map_0 and depth_map_1, 
# I need to have stored them. The tools overwrite $depth_map.
# Let's re-run the depth estimation and save them.
Tool call

⚡ Executing code_executor__exec...

code
import numpy as np

# Door detection from image 0: (0.896, 0.335)
# Socket detection from image 1: (0.902, 0.605) or (0.951, 0.629). Let's use the average.
door_u, door_v = 0.896, 0.335
socket_u, socket_v = (0.902 + 0.951) / 2, (0.605 + 0.629) / 2

# To find the relative direction, we need 3D positions.
# Depth map and focal length from image 0 (for door) and image 1 (for socket).
# Wait, depth_estimator was called for both. The most recent $depth_map and $point_cloud are from image 1.
# Let's assume the camera didn't move much or we can use the coordinates relative to the camera frame.
# Actually, to be precise, I should use the point cloud from the images.
# But the task asks for "direction relative to the socket".
# Usually, this means from the socket's perspective (facing the camera/forward).
# Let's just compare their 3D positions in the camera frame if possible, 
# or simpler: just use the 2D positions and depth if they are in the same image.
# Let's get depth from the depth maps.

# For door in image 0:
# depth_0 = depth_map_0[int(door_v * H0), int(door_u * W0)]
# For socket in image 1:
# depth_1 = depth_map_1[int(socket_v * H1), int(socket_u * W1)]

# Since I don't have separate variables for depth_map_0 and depth_map_1, 
# I need to have stored them. The tools overwrite $depth_map.
# Let's re-run the depth estimation and save them.
tool_name
code_executor__exec
Tool result

✅ code_executor__exec completed

tool_name
code_executor__exec
result
Stderr: IndentationError: unexpected indent (<string>, line 11)
Synthesizing

🧠 Synthesizing results from 1 tool(s)...

Tool decision

🛠️ Decided to use 4 tool(s)

code
import numpy as np
# Store depth and focal length from image 0
depth_map_0 = $depth_map
focal_length_0 = $focal_length_px
result = "Stored image 0 data"
code
import numpy as np
# Store depth and focal length from image 1
depth_map_1 = $depth_map
focal_length_1 = $focal_length_px
result = "Stored image 1 data"
tool_calls
[
  {
    "name": "depth_estimator__estimate_depth_with_pointcloud",
    "arguments": {
      "image_index": 0
    }
  },
  {
    "name": "depth_estimator__estimate_depth_with_pointcloud",
    "arguments": {
      "image_index": 1
    }
  }
]
Tool call

⚡ Executing depth_estimator__estimate_depth_with_pointcloud...

tool_name
depth_estimator__estimate_depth_with_pointcloud
arguments
{
  "image_index": 0
}
Tool result

✅ depth_estimator__estimate_depth_with_pointcloud completed (with generated image)

tool_name
depth_estimator__estimate_depth_with_pointcloud
result
Generated 1296x968 depth map and 1,254,528 3D points. Depth range in point cloud: 0.68m to 2.28m (mean: 1.49m). Use $depth_map (numpy array, 968x1296), $point_cloud (numpy array, 1254528x3) and $focal...
Tool call

⚡ Executing code_executor__exec...

code
import numpy as np
# Store depth and focal length from image 0
depth_map_0 = $depth_map
focal_length_0 = $focal_length_px
result = "Stored image 0 data"
tool_name
code_executor__exec
Tool result

✅ code_executor__exec completed

tool_name
code_executor__exec
result
Stderr: SyntaxError: invalid syntax. Perhaps you forgot a comma? (<string>, line 3)
Tool call

⚡ Executing depth_estimator__estimate_depth_with_pointcloud...

tool_name
depth_estimator__estimate_depth_with_pointcloud
arguments
{
  "image_index": 1
}
Tool result

✅ depth_estimator__estimate_depth_with_pointcloud completed (with generated image)

tool_name
depth_estimator__estimate_depth_with_pointcloud
result
Generated 1296x968 depth map and 1,254,528 3D points. Depth range in point cloud: 0.58m to 2.07m (mean: 1.04m). Use $depth_map (numpy array, 968x1296), $point_cloud (numpy array, 1254528x3) and $focal...
Tool call

⚡ Executing code_executor__exec...

code
import numpy as np
# Store depth and focal length from image 1
depth_map_1 = $depth_map
focal_length_1 = $focal_length_px
result = "Stored image 1 data"
tool_name
code_executor__exec
Tool result

✅ code_executor__exec completed

tool_name
code_executor__exec
result
Stderr: SyntaxError: invalid syntax. Perhaps you forgot a comma? (<string>, line 3)
Synthesizing

🧠 Synthesizing results from 4 tool(s)...

Tool decision

🛠️ Decided to use 1 tool(s)

code
import numpy as np

# Since I cannot store variables across calls in the way I tried, I will use the most recent ones
# and rely on visual reasoning and the provided detections.
# Image 0: Door is at (0.896, 0.335)
# Image 1: Sockets are at (0.902, 0.605) and (0.951, 0.629)

# Looking at the images:
# Image 0 is a wider view showing the door in the background.
# Image 1 is a closer view of the table, with sockets on the wall to the right.
# The door is far in the background, and the sockets are closer to the camera,
# also on the right side of the room.

# Relative to the socket:
# Socket is on the right wall, closer to the camera.
# Door is further away, also generally on the right side of the room.
# If we imagine the socket's "front" as facing the center of the room,
# the door is "behind" or "to the side" and "further away".
# Wait, the options are Front left, Front right, Rear left, Rear right.
# This suggests a coordinate system centered at the socket.
# Let's assume the socket is facing the room's center (towards the left of the image).
# The door is further back (Rear) and to the right relative to that facing?
# Or if the socket is on the wall, its front is the room.
# Door is further along the wall or deeper into the room.

# Let's look at Image 0 again. Door is at x=0.896.
# Socket in Image 1 is at x=0.902.
# Both are on the right side.
# Door is at y=0.335 (higher up/further back).
# Socket is at y=0.605 (lower down/closer).
# So door is "Rear" relative to the socket if we are looking from the camera.
# And since they are both on the right, the door is likely "Rear right" or "Rear left".
# If we are at the socket facing the room, "right" would be further along the wall.
# The door is further "back" in the image.
# Usually, "Rear right" would mean behind and to the right.

# Let's think about the layout.
# Camera -> Socket -> Door.
# Socket is at (0.9, 0.6), Door is at (0.9, 0.3).
# Door is "above" socket in the image, which means further away.
# Both are on the right.
# If the socket is on the right wall, its "front" faces left.
# "Rear" would be towards the wall.
# "Right" would be further "up" the image.
# So the door is Rear Right? Or Rear Left?
# If facing left, Right is "up" (towards the back of the room).
# Let's check the options again.
# A: Front left, B: Front right, C: Rear left, D: Rear right.
# If we are at the socket facing the room (left), then "Rear" is the wall.
# The door is further along the wall.
# This is tricky without a clear "front" for a socket.
# However, typically "front" is away from the wall it's mounted on.
# If the socket is on the right wall, facing left:
# - Front is left.
# - Rear is right.
# - Right is "up" (away from camera).
# - Left is "down" (towards camera).
# In this case, the door (further away, same wall) is "Rear Right" or "Front Right"?
# Wait, if Rear is the wall, and Right is away from camera, then the door is "Rear Right".
# But the door is not "in" the wall, it's an opening in the wall.
# Actually, if the socket is on the right wall and the door is further down that same wall,
# then relative to the socket's "front" (facing into the room), the door is to the "right".
# And it's "rear" if it's slightly behind the plane of the socket.
# Let's re-examine: Socket (0.9, 0.6), Door (0.9, 0.3).
# Door is definitely "behind" (further away) and "right" (if we assume facing into the room).
# Actually, if the socket is on the right wall, facing the room (left),
# then "Right" is "back" (away from camera).
# Let's try D.
result = "D"
Tool call

⚡ Executing code_executor__exec...

code
import numpy as np

# Since I cannot store variables across calls in the way I tried, I will use the most recent ones
# and rely on visual reasoning and the provided detections.
# Image 0: Door is at (0.896, 0.335)
# Image 1: Sockets are at (0.902, 0.605) and (0.951, 0.629)

# Looking at the images:
# Image 0 is a wider view showing the door in the background.
# Image 1 is a closer view of the table, with sockets on the wall to the right.
# The door is far in the background, and the sockets are closer to the camera,
# also on the right side of the room.

# Relative to the socket:
# Socket is on the right wall, closer to the camera.
# Door is further away, also generally on the right side of the room.
# If we imagine the socket's "front" as facing the center of the room,
# the door is "behind" or "to the side" and "further away".
# Wait, the options are Front left, Front right, Rear left, Rear right.
# This suggests a coordinate system centered at the socket.
# Let's assume the socket is facing the room's center (towards the left of the image).
# The door is further back (Rear) and to the right relative to that facing?
# Or if the socket is on the wall, its front is the room.
# Door is further along the wall or deeper into the room.

# Let's look at Image 0 again. Door is at x=0.896.
# Socket in Image 1 is at x=0.902.
# Both are on the right side.
# Door is at y=0.335 (higher up/further back).
# Socket is at y=0.605 (lower down/closer).
# So door is "Rear" relative to the socket if we are looking from the camera.
# And since they are both on the right, the door is likely "Rear right" or "Rear left".
# If we are at the socket facing the room, "right" would be further along the wall.
# The door is further "back" in the image.
# Usually, "Rear right" would mean behind and to the right.

# Let's think about the layout.
# Camera -> Socket -> Door.
# Socket is at (0.9, 0.6), Door is at (0.9, 0.3).
# Door is "above" socket in the image, which means further away.
# Both are on the right.
# If the socket is on the right wall, its "front" faces left.
# "Rear" would be towards the wall.
# "Right" would be further "up" the image.
# So the door is Rear Right? Or Rear Left?
# If facing left, Right is "up" (towards the back of the room).
# Let's check the options again.
# A: Front left, B: Front right, C: Rear left, D: Rear right.
# If we are at the socket facing the room (left), then "Rear" is the wall.
# The door is further along the wall.
# This is tricky without a clear "front" for a socket.
# However, typically "front" is away from the wall it's mounted on.
# If the socket is on the right wall, facing left:
# - Front is left.
# - Rear is right.
# - Right is "up" (away from camera).
# - Left is "down" (towards camera).
# In this case, the door (further away, same wall) is "Rear Right" or "Front Right"?
# Wait, if Rear is the wall, and Right is away from camera, then the door is "Rear Right".
# But the door is not "in" the wall, it's an opening in the wall.
# Actually, if the socket is on the right wall and the door is further down that same wall,
# then relative to the socket's "front" (facing into the room), the door is to the "right".
# And it's "rear" if it's slightly behind the plane of the socket.
# Let's re-examine: Socket (0.9, 0.6), Door (0.9, 0.3).
# Door is definitely "behind" (further away) and "right" (if we assume facing into the room).
# Actually, if the socket is on the right wall, facing the room (left),
# then "Right" is "back" (away from camera).
# Let's try D.
result = "D"
tool_name
code_executor__exec
Tool result

✅ code_executor__exec completed

tool_name
code_executor__exec
result
Result: D Use $result to reference the result.
Synthesizing

🧠 Synthesizing results from 1 tool(s)...

Reasoning

D

Final answer

D

Final response

D

SpatialClaw

✓ Correct
Plan

Task Analysis

The objective is to determine the 3D spatial direction of a "door" relative to a "socket". The options (Front left, Front right, Rear left, Rear right) indicate an object-centric coordinate system centered at the socket.

Implicit Coordinate System: The reference frame is the socket's local coordinate system.

  • Front/Rear: Defined by the socket's facing direction (the normal vector pointing away from the wall/surface it is mounted on).
  • Left/Right: Defined relative to that facing direction, typically using the world "up" vector (gravity) to establish a consistent right-hand coordinate system.

Information Needs

  1. Object Identification: Precise identification and 2D localization of the door and the socket.
  2. 3D Geometry: World-space 3D coordinates for both the door and the socket.
  3. Socket Orientation: The unit vector representing the "front" (facing direction) of the socket.
  4. Spatial Layout: A top-down view to sanity-check the relative positions.

Computation Plan

  1. Grounding and Segmentation:

    • Use vlm.locate on InputImages[0] to find the bounding boxes for the "door" and the "socket" in 0-1000 normalized coordinates.
    • Convert these coordinates to pixels using tools.Geometry.normalized_to_pixel.
    • Use tools.SAM3.segment_image_by_box to create masks for both objects.
    • Verify the masks using show([InputImages[0], seg.visualize(fi)]).
  2. 3D Reconstruction:

    • Generate a 3D reconstruction of the scene using tools.Reconstruct.Reconstruct(InputImages).
  3. 3D Position Extraction:

    • Calculate the 3D centroids of the door and the socket using seg.get_centroid_3d(recon, frame=fi, object=...).
    • Compute the relative vector: $\vec{v}{socket \to door} = \text{centroid}{door} - \text{centroid}_{socket}$.
  4. Determining Socket Orientation (The "Front" Vector):

    • Since sockets are typically flush with a wall, the "front" vector $\vec{f}_{socket}$ is the normal to the wall pointing into the room.
    • Extract the 3D points of the socket mask using seg.get_masked_points(recon, frame=fi, object='socket').
    • Fit a plane to these points to find the surface normal.
    • Use vlm.ask_with_thinking to confirm which side of the wall is the "room" side to ensure the normal vector $\vec{f}_{socket}$ points outward (away from the wall).
  5. Relative Direction Calculation:

    • Define the local axes for the socket:
      • Forward ($\vec{f}$): The determined $\vec{f}_{socket}$.
      • Up ($\vec{u}$): The world-up vector $[0, 1, 0]$ (from the gravity-aligned reconstruction).
      • Right ($\vec{r}$): The cross product $\vec{r} = \vec{f} \times \vec{u}$.
    • Project the relative vector $\vec{v}_{socket \to door}$ onto these axes:
      • $\text{depth} = \vec{v}_{socket \to door} \cdot \vec{f}$ (Positive $\to$ Front, Negative $\to$ Rear).
      • $\text{lateral} = \vec{v}_{socket \to door} \cdot \vec{r}$ (Positive $\to$ Right, Negative $\to$ Left).
  6. Final Synthesis:

    • Map the signs of (depth, lateral) to the options:
      • $(+, +) \to$ Front right
      • $(+, -) \to$ Front left
      • $(-, +) \to$ Rear right
      • $(-, -) \to$ Rear left

Verification

  • Visual Cross-Check: Render a BEV plot using recon.render_bev(masks=seg) to visually confirm if the door is in the predicted quadrant relative to the socket's facing direction.
  • Consistency Check: Verify that the 3D centroids are stable across both input frames.
  • Orientation Audit: Use vlm.ask_with_thinking to describe the scene layout (e.g., "Is the door to the left or right of the socket from the perspective of someone looking at the socket?") to provide a second independent line of evidence.

Fallbacks

  • If the socket mask is too small to fit a reliable plane, I will use vlm.ask_with_thinking to describe the wall's orientation relative to the camera and derive the normal vector from the camera's pose.
  • If reconstruction is noisy, I will rely on the VLM's qualitative spatial reasoning across multiple frames, treating it as a secondary evidence source.

CHECKLIST

[
  {"priority": "HIGH", "description": "Verify that the SAM3 masks accurately cover the door and the socket"},
  {"priority": "HIGH", "description": "Confirm the socket's 'front' vector points away from the wall into the room"},
  {"priority": "MEDIUM", "description": "Cross-validate the computed 3D direction with the BEV rendering"},
  {"priority": "MEDIUM", "description": "Ensure the 3D centroids are not NaN and are physically plausible"}
]
Step 0
LLM
Purpose
Ground and segment the "door" and the "socket" in the images.
Reasoning
To determine the relative direction, I first need precise 2D masks for both objects. I'll use `vlm.locate` to get bounding boxes and then `tools.SAM3.segment_image_by_box` to generate masks. I'll check both frames as the socket is more visible in `InputImages[1]`.
Next Goal
Perform 3D reconstruction and extract the 3D centroids of the objects.
Execute
Code
# Locate the door and socket in both images to ensure we have the best masks
# In InputImages[0], the door is prominent.
# In InputImages[1], the socket (white object on the left wall) is more visible.

door_box_0 = vlm.locate(InputImages[0], "Give the bounding box (x1, y1, x2, y2) in 0-1000 normalized scale for the door. Reply with ONLY the numbers.")
socket_box_0 = vlm.locate(InputImages[0], "Give the bounding box (x1, y1, x2, y2) in 0-1000 normalized scale for the electrical socket on the wall. Reply with ONLY the numbers.")

door_box_1 = vlm.locate(InputImages[1], "Give the bounding box (x1, y1, x2, y2) in 0-1000 normalized scale for the door. Reply with ONLY the numbers.")
socket_box_1 = vlm.locate(InputImages[1], "Give the bounding box (x1, y1, x2, y2) in 0-1000 normalized scale for the electrical socket on the wall. Reply with ONLY the numbers.")

print(f"Door box 0: {door_box_0}")
print(f"Socket box 0: {socket_box_0}")
print(f"Door box 1: {door_box_1}")
print(f"Socket box 1: {socket_box_1}")

# Convert to pixels for InputImages[1] since the socket is clearer there
W, H = InputImages[1].width, InputImages[1].height
try:
    # Parse coordinates from the VLM strings
    def parse_box(box_str):
        return [int(x) for x in box_str.replace(',', ' ').split()]

    d_box_1 = tools.Geometry.normalized_to_pixel(parse_box(door_box_1), W, H)
    s_box_1 = tools.Geometry.normalized_to_pixel(parse_box(socket_box_1), W, H)

    # Segment
    seg_door = tools.SAM3.segment_image_by_box(InputImages[1], d_box_1, "door")
    seg_socket = tools.SAM3.segment_image_by_box(InputImages[1], s_box_1, "socket")

    # Combine masks into one PerFrameMask for convenience if possible, 
    # but SAM3 returns separate PerFrameMask objects. I'll just keep them.
    
    # Visual verification
    fi = InputImages[1].frame_index
    show([InputImages[1], seg_door.visualize(fi), seg_socket.visualize(fi)])

except Exception as e:
    print(f"Error during segmentation: {e}")
Output
[VLM Q | locate] Before answering, first check whether what the question describes is clearly visible in the provided image(s). If it is absent or ambiguous, reply EXACTLY `Not visible` on its own line (optionally followed by one short line explaining what you saw instead) — do NOT return coordinates in that case. Only if the requested target is clearly and unambiguously present, answer the request below.

Request: Give the bounding box (x1, y1, x2, y2) in 0-1000 normalized scale for the door. Reply with ONLY the numbers.
[VLM A | locate] 440 0 1000 575
[VLM Q | locate] Before answering, first check whether what the question describes is clearly visible in the provided image(s). If it is absent or ambiguous, reply EXACTLY `Not visible` on its own line (optionally followed by one short line explaining what you saw instead) — do NOT return coordinates in that case. Only if the requested target is clearly and unambiguously present, answer the request below.

Request: Give the bounding box (x1, y1, x2, y2) in 0-1000 normalized scale for the electrical socket on the wall. Reply with ONLY the numbers.
[VLM A | locate] Not visible
[VLM Q | locate] Before answering, first check whether what the question describes is clearly visible in the provided image(s). If it is absent or ambiguous, reply EXACTLY `Not visible` on its own line (optionally followed by one short line explaining what you saw instead) — do NOT return coordinates in that case. Only if the requested target is clearly and unambiguously present, answer the request below.

Request: Give the bounding box (x1, y1, x2, y2) in 0-1000 normalized scale for the door. Reply with ONLY the numbers.
[VLM A | locate] Not visible
No door is present in the image.
[VLM Q | locate] Before answering, first check whether what the question describes is clearly visible in the provided image(s). If it is absent or ambiguous, reply EXACTLY `Not visible` on its own line (optionally followed by one short line explaining what you saw ins
Step 1
LLM
Purpose
Segment the door and socket using the frames where they are most visible.
Reasoning
The VLM indicated that the door is visible in `InputImages[0]` and the socket is visible in `InputImages[1]`. I will segment each object in its respective frame and then use 3D reconstruction to find their relative positions in world space.
Next Goal
Perform 3D reconstruction and extract 3D centroids for both objects.
Execute
Code
# Door is in InputImages[0], Socket is in InputImages[1]

# Process Door in InputImages[0]
W0, H0 = InputImages[0].width, InputImages[0].height
door_box_0_coords = [int(x) for x in door_box_0.replace(',', ' ').split()]
d_box_0_px = tools.Geometry.normalized_to_pixel(door_box_0_coords, W0, H0)
seg_door = tools.SAM3.segment_image_by_box(InputImages[0], d_box_0_px, "door")

# Process Socket in InputImages[1]
W1, H1 = InputImages[1].width, InputImages[1].height
socket_box_1_coords = [int(x) for x in socket_box_1.replace(',', ' ').split()]
s_box_1_px = tools.Geometry.normalized_to_pixel(socket_box_1_coords, W1, H1)
seg_socket = tools.SAM3.segment_image_by_box(InputImages[1], s_box_1_px, "socket")

# Visual verification
fi0 = InputImages[0].frame_index
fi1 = InputImages[1].frame_index
show([
    InputImages[0], seg_door.visualize(fi0),
    InputImages[1], seg_socket.visualize(fi1)
])

# Programmatic check for mask area
door_area = seg_door.get_mask(frame=fi0, object=0).sum()
socket_area = seg_socket.get_mask(frame=fi1, object=0).sum()
print(f"Door mask area: {door_area} pixels")
print(f"Socket mask area: {socket_area} pixels")
Output
 [image: show_0001] 
Door mask area: 73478 pixels
Socket mask area: 3505 pixels
show_0001
Step 2
LLM
Purpose
Perform 3D reconstruction and extract the 3D centroids of the door and the socket.
Reasoning
To calculate the relative direction in world space, I need the 3D positions of both objects. I will reconstruct the scene from the available frames and then use the segmentation masks to find the 3D centroids.
Next Goal
Determine the socket's facing direction ("front" vector) and calculate the final relative direction.
Execute
Code
# Perform 3D reconstruction
recon = tools.Reconstruct.Reconstruct(InputImages)

# Get 3D centroids
# Door was segmented in fi0
door_centroid = seg_door.get_centroid_3d(recon, frame=fi0, object=0)
# Socket was segmented in fi1
socket_centroid = seg_socket.get_centroid_3d(recon, frame=fi1, object=0)

print(f"Door 3D centroid: {door_centroid}")
print(f"Socket 3D centroid: {socket_centroid}")

# Sanity check with BEV
# To render BEV, I need a combined mask or just pass a list. 
# Since they are separate PerFrameMask objects, I'll create a simple array for the BEV.
# Or I can just use the ego_trajectory to see the camera movement.
# Actually, I can just use the centroids directly for the math.
# Let's render a BEV with just the socket to see where the camera is.
bev_socket = recon.render_bev(masks=seg_socket, labels=["socket"])
show(bev_socket)
Output
Door 3D centroid: [ 0.6744245  0.9994168 -1.5981216]
Socket 3D centroid: [-1.219678    0.21966341 -0.18279685]
 [image: show_0002] 
show_0002
Step 3
LLM
Purpose
Determine the socket's facing direction ("front" vector) and calculate the relative direction of the door.
Reasoning
The socket is mounted on a wall, so its "front" vector is the normal to that wall pointing into the room. I will extract the 3D points of the socket mask and fit a plane to find this normal. Then, I'll use the world-up vector $[0, 1, 0]$ to define the socket's local coordinate system (Front, Right) and project the vector from the socket to the door onto these axes.
Next Goal
Compute the final relative direction and return the answer.
Execute
Code
import numpy as np

# 1. Extract points for the socket to find the wall normal
socket_points = seg_socket.get_masked_points(recon, frame=fi1, object=0)

# Fit a plane to the socket points using SVD to find the normal
# Center the points
centroid_pts = np.median(socket_points, axis=0)
centered_pts = socket_points - centroid_pts

# SVD to find the normal (the singular vector corresponding to the smallest singular value)
_, _, vh = np.linalg.svd(centered_pts)
normal = vh[-1] # This is the normal to the plane

# Ensure the normal points "into the room"
# In InputImages[1], the socket is on the left wall.
# Looking at the BEV, the socket is at x ~ -1.2, camera at 0.
# The wall is to the left of the camera, so the normal should point roughly in the +X direction.
if normal[0] < 0:
    normal = -normal

print(f"Socket normal (Front vector): {normal}")

# 2. Define the local coordinate system for the socket
f_socket = normal / np.linalg.norm(normal)
up = np.array([0, 1, 0])
r_socket = np.cross(f_socket, up)
r_socket /= np.linalg.norm(r_socket)

# 3. Calculate the relative vector from socket to door
v_socket_to_door = door_centroid - socket_centroid
print(f"Vector socket -> door: {v_socket_to_door}")

# 4. Project the relative vector onto the local axes
depth = np.dot(v_socket_to_door, f_socket)
lateral = np.dot(v_socket_to_door, r_socket)

print(f"Depth (Front/Rear): {depth:.3f} (Positive = Front)")
print(f"Lateral (Right/Left): {lateral:.3f} (Positive = Right)")

# 5. Determine the quadrant
if depth > 0:
    direction_front_rear = "Front"
else:
    direction_front_rear = "Rear"

if lateral > 0:
    direction_left_right = "right"
else:
    direction_left_right = "left"

result = f"{direction_front_rear} {direction_left_right}"
print(f"Final Relative Direction: {result}")

# Map to options
# A: Front left, B: Front right, C: Rear left, D: Rear right
mapping = {
    "Front left": "A",
    "Front right": "B",
    "Rear left": "C",
    "Rear right": "D"
}
print(f"Option: {mapping.get(result)}")
Output
Socket normal (Front vector): [0.9980708  0.04413939 0.04366319]
Vector socket -> door: [ 1.8941026   0.77975345 -1.4153248 ]
Depth (Front/Rear): 1.863 (Positive = Front)
Lateral (Right/Left): -1.497 (Positive = Right)
Final Relative Direction: Front left
Option: A
Step 4
LLM
Purpose
Finalize the relative direction of the door relative to the socket and return the answer.
Reasoning
Based on the 3D reconstruction and geometric computation: 1. The socket's "front" vector $\vec{f}$ was determined to be the normal to the wall it is mounted on, pointing into the room ($\approx [1, 0, 0]$). 2. The relative vector from the socket to the door is $\vec{v} \approx [1.89, 0.78, -1.41]$. 3. The projection of $\vec{v}$ onto the front vector $\vec{f}$ is positive ($\approx 1.86$), indicating the door is in **Front** of the socket. 4. The projection of $\vec{v}$ onto the socket's right vector $\vec{r} = \vec{f} \times \text{up} \approx [0, 0, 1]$ is negative ($\approx -1.49$), indicating the door is to the **Left** of the socket. 5. Combining these, the direction is **Front left**, which corresponds to Option A.
Next Goal
None.
Execute
Code
ReturnAnswer("A")
Output
[ReturnAnswer] Answer submitted: A
Answer
A
Evaluation
Ground truth: A · Agent: A