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Depth context constructor β the core innovation of the system.
Translates a depth map + detection results into a structured text preamble
that gives the VLM spatial awareness: how far objects are, how large they
are, and where they sit horizontally in the scene.
Specification:
1. Distance β median per-object disparity mapped [0,255] β [20,200] cm
2. Size β pinhole projection: w_cm = 2 * depth * tan(FoV/2) * (w_px / W)
3. Position β horizontal thirds (left / centre / right)
4. Ordering β nearest-first sort
5. Layout β foreground / midground / background pixel percentages
"""
import math
from typing import Sequence, Union
import numpy as np
from .config import DEPTH_MAX_CM, DEPTH_MIN_CM, HFOV_DEG
# ---------------------------------------------------------------------------
# Module-level constants derived from config
# ---------------------------------------------------------------------------
# Horizontal scale factor for pinhole projection.
# Full formula: w_cm = _H_SCALE * depth_cm * (w_px / W)
_H_SCALE: float = 2.0 * math.tan(math.radians(HFOV_DEG / 2.0))
# Disparity thresholds that partition [0, 255] into depth zones.
# Depth Anything V2 outputs disparity (higher value = closer object).
# disparity >= 170 β foreground (β€ ~73 cm)
# 85 <= disp < 170 β midground (~73β140 cm)
# disparity < 85 β background (> ~140 cm)
_FG_DISP: int = 170
_MG_DISP: int = 85
# ---------------------------------------------------------------------------
# Private helpers
# ---------------------------------------------------------------------------
def _disparity_to_cm(disparity: float) -> float:
"""Map a normalised disparity value to an estimated distance in cm.
Depth Anything V2 is disparity-convention: higher value = closer.
So disparity 255 β DEPTH_MIN_CM (20 cm), disparity 0 β DEPTH_MAX_CM (200 cm).
Args:
disparity: Value in [0, 255].
Returns:
Estimated distance in centimetres.
"""
return DEPTH_MAX_CM - (disparity / 255.0) * (DEPTH_MAX_CM - DEPTH_MIN_CM)
def _horizontal_position(cx: float, img_w: int) -> str:
"""Classify a horizontal pixel coordinate into left / centre / right thirds.
Args:
cx: Horizontal centre of the bounding box in pixels.
img_w: Image width in pixels.
Returns:
'left', 'centre', or 'right'.
"""
third = img_w / 3.0
if cx < third:
return "left"
if cx < 2.0 * third:
return "centre"
return "right"
def _pinhole_size(
depth_cm: float, w_px: float, h_px: float, img_w: int
) -> tuple[float, float]:
"""Estimate physical dimensions via pinhole camera projection.
Formula: w_cm = 2 * depth * tan(FoV/2) * (w_px / W)
The same horizontal calibration is applied to the height axis for a
consistent scale (avoids needing a separate vertical FoV constant).
Args:
depth_cm: Object distance in centimetres.
w_px: Bounding-box width in pixels.
h_px: Bounding-box height in pixels.
img_w: Image width in pixels.
Returns:
(width_cm, height_cm) tuple.
"""
scale = _H_SCALE * depth_cm / img_w
return scale * w_px, scale * h_px
def _room_depth_estimate(depth_map: np.ndarray) -> float:
"""Estimate the room depth from background pixels.
Takes the median disparity of pixels in the background zone (far wall,
ceiling, floor) and converts to centimetres. Because Depth Anything V2
gives relative, not metric depth, this is an estimate, not an absolute
measurement β but it is consistent within a single scene and gives the
VLM a meaningful sense of scale.
Args:
depth_map: uint8 array (H, W); higher value = closer.
Returns:
Estimated background distance in centimetres.
"""
bg_pixels = depth_map[depth_map < _MG_DISP]
if bg_pixels.size == 0: # entirely close-up scene
bg_pixels = depth_map.flatten()
return _disparity_to_cm(float(np.median(bg_pixels)))
def _scene_layout(depth_map: np.ndarray) -> tuple[float, float, float]:
"""Compute foreground / midground / background percentages of the frame.
Args:
depth_map: uint8 array of shape (H, W); higher value = closer.
Returns:
(fg_pct, mg_pct, bg_pct) floats that sum to 100.
"""
total = float(depth_map.size)
fg = np.sum(depth_map >= _FG_DISP) / total * 100.0
mg = np.sum((depth_map >= _MG_DISP) & (depth_map < _FG_DISP)) / total * 100.0
bg = np.sum(depth_map < _MG_DISP) / total * 100.0
return float(fg), float(mg), float(bg)
# ---------------------------------------------------------------------------
# Public API
# ---------------------------------------------------------------------------
def build_depth_context(
frame_rgb: np.ndarray,
depth_np: np.ndarray,
boxes: Union[np.ndarray, Sequence],
classes: Sequence[str],
confidences: Sequence[float],
) -> str:
"""Build the depth-context preamble prepended to every VLM query.
Objects are measured individually (median disparity inside their bounding
box for robustness), converted to physical distances and sizes via pinhole
projection, classified by horizontal position, and sorted nearest-first.
A scene-level layout summary is appended at the end.
Args:
frame_rgb: uint8 RGB array of shape (H, W, 3).
depth_np: uint8 depth/disparity map of shape (H, W).
Higher value means closer to the camera.
boxes: Bounding boxes as (N, 4) array or list of [x1, y1, x2, y2]
in pixel coordinates.
classes: Class label for each detected object, length N.
confidences: Detection confidence in [0, 1] for each object, length N.
Returns:
Structured text preamble describing 3D scene geometry, e.g.::
You have access to 3D scene geometry from a depth sensor.
Measurements:
- Object 1: cup (confidence 92%), depth ~35 cm, size ~8x10 cm, centre
- Object 2: laptop (confidence 87%), depth ~65 cm, size ~35x25 cm, right
- Scene layout: foreground (32%), midground (45%), background (23%)
"""
H, W = frame_rgb.shape[:2]
boxes_arr = np.asarray(boxes, dtype=np.float32).reshape(-1, 4)
n = len(boxes_arr)
# ββ Per-object measurements βββββββββββββββββββββββββββββββββββββββββββββββ
records: list[dict] = []
for i in range(n):
x1, y1, x2, y2 = boxes_arr[i]
# Clip box to valid image coordinates before indexing the depth map.
px1 = int(max(0.0, x1))
py1 = int(max(0.0, y1))
px2 = int(min(float(W - 1), x2))
py2 = int(min(float(H - 1), y2))
roi = depth_np[py1 : py2 + 1, px1 : px2 + 1]
# Median is more robust than mean against depth-map boundary artefacts.
median_disp = float(np.median(roi)) if roi.size > 0 else 127.0
depth_cm = _disparity_to_cm(median_disp)
box_w_px = float(x2 - x1)
box_h_px = float(y2 - y1)
w_cm, h_cm = _pinhole_size(depth_cm, box_w_px, box_h_px, W)
cx = (x1 + x2) / 2.0
position = _horizontal_position(cx, W)
records.append(
{
"label": classes[i],
"confidence": float(confidences[i]),
"depth_cm": depth_cm,
"w_cm": w_cm,
"h_cm": h_cm,
"position": position,
}
)
# ββ Nearest-first sort ββββββββββββββββββββββββββββββββββββββββββββββββββββ
records.sort(key=lambda r: r["depth_cm"])
# ββ Scene-level measurements ββββββββββββββββββββββββββββββββββββββββββββββ
fg_pct, mg_pct, bg_pct = _scene_layout(depth_np)
room_depth_cm = _room_depth_estimate(depth_np)
room_depth_m = room_depth_cm / 100.0
# ββ Assemble preamble text ββββββββββββββββββββββββββββββββββββββββββββββββ
lines: list[str] = [
"Depth sensor data for this scene:",
f" - Space extends approximately {room_depth_m:.1f} m in depth",
]
if records:
lines.append(" - Objects detected (nearest first):")
for rec in records:
lines.append(
f" {rec['label']} at ~{rec['depth_cm']:.0f} cm "
f"({rec['position']}), ~{rec['w_cm']:.0f}x{rec['h_cm']:.0f} cm"
)
lines.append(
f" - Scene proportions: "
f"{fg_pct:.0f}% close (<73 cm), "
f"{mg_pct:.0f}% mid-range, "
f"{bg_pct:.0f}% far/background"
)
return "\n".join(lines)
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