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import json
from dataclasses import dataclass
from pathlib import Path
from typing import Any
import cv2
import numpy as np
import pandas as pd
from PIL import Image
# Manually fitted table corners for the synced overhead frame used for episode 0.
# Order: top-left, top-right, bottom-right, bottom-left.
TABLE_CORNERS_PX = np.array(
[
[192.0, 138.0],
[1635.0, 46.0],
[1712.0, 787.0],
[185.0, 858.0],
],
dtype=np.float64,
)
# Assumed tabletop size for the large brown work surface in the overhead image.
TABLE_SIZE_M = (1.52, 0.76)
# Tuned against the pre-grasp motion silhouette.
CAMERA_FOCAL_PX = 650.0
ROBOT_BASE_WORLD = np.array([0.50, 0.45, -0.45], dtype=np.float64)
ROBOT_BASE_YAW_RAD = -2.0
DEFAULT_ROBOT_WORLD_RVEC = np.array([0.06924932, -0.1712883, -1.95079235], dtype=np.float64)
DEFAULT_ROBOT_WORLD_TVEC = np.array([0.50851769, 0.49565435, -0.50654742], dtype=np.float64)
# Kinova tool-center offset relative to the interface frame from FK.
TOOL_OFFSET_M = 0.12
@dataclass(frozen=True)
class SceneCalibration:
session_root: Path
sync_row_index: int
azure_rgb_seq: int
azure_depth_seq: int
robot_seq: int
rgb_path: Path
depth_path: Path
rgb: np.ndarray
depth: np.ndarray
sync_row: dict[str, Any]
camera_matrix: np.ndarray
rvec: np.ndarray
tvec: np.ndarray
table_corners_px: np.ndarray
table_size_m: tuple[float, float]
robot_base_world: np.ndarray
robot_base_yaw_rad: float
robot_world_rvec: np.ndarray
robot_world_tvec: np.ndarray
box_mask: np.ndarray
teddy_mask: np.ndarray
box_world_polygon: np.ndarray
teddy_world_center: np.ndarray
teddy_world_extent: np.ndarray
table_depth_mm: float
box_height_m: float
teddy_height_m: float
def _to_rgb(path: Path) -> np.ndarray:
return np.array(Image.open(path).convert("RGB"))
def _to_depth(path: Path) -> np.ndarray:
return np.array(Image.open(path))
def load_sync_dataframe(session_root: Path) -> pd.DataFrame:
return pd.read_csv(session_root / "sync_index.csv")
def load_scene_calibration(session_root: str | Path, sync_row_index: int = 0) -> SceneCalibration:
session_root = Path(session_root)
sync = load_sync_dataframe(session_root)
row = sync.iloc[sync_row_index]
azure_rgb_seq = int(row["azure_rgb_seq"])
azure_depth_seq = int(row["azure_depth_seq"])
robot_seq = int(row["robot_seq"])
rgb_path = session_root / row["azure_rgb_file"]
depth_path = session_root / row["azure_depth_file"]
rgb = _to_rgb(rgb_path)
depth = _to_depth(depth_path)
camera_matrix, rvec, tvec = solve_table_camera(TABLE_CORNERS_PX, TABLE_SIZE_M, CAMERA_FOCAL_PX)
box_mask = detect_red_box(rgb)
teddy_mask = detect_teddy(rgb)
box_world_polygon = image_mask_to_world_polygon(box_mask, camera_matrix, rvec, tvec)
teddy_world_center, teddy_world_extent = mask_centroid_and_extent_world(teddy_mask, camera_matrix, rvec, tvec)
table_depth_mm = estimate_table_depth_mm(depth)
box_height_m = estimate_height_from_depth(rgb, depth, box_mask, table_depth_mm)
teddy_height_m = estimate_height_from_depth(rgb, depth, teddy_mask, table_depth_mm)
return SceneCalibration(
session_root=session_root,
sync_row_index=sync_row_index,
azure_rgb_seq=azure_rgb_seq,
azure_depth_seq=azure_depth_seq,
robot_seq=robot_seq,
rgb_path=rgb_path,
depth_path=depth_path,
rgb=rgb,
depth=depth,
sync_row=row.to_dict(),
camera_matrix=camera_matrix,
rvec=rvec,
tvec=tvec,
table_corners_px=TABLE_CORNERS_PX.copy(),
table_size_m=TABLE_SIZE_M,
robot_base_world=ROBOT_BASE_WORLD.copy(),
robot_base_yaw_rad=float(ROBOT_BASE_YAW_RAD),
robot_world_rvec=DEFAULT_ROBOT_WORLD_RVEC.copy(),
robot_world_tvec=DEFAULT_ROBOT_WORLD_TVEC.copy(),
box_mask=box_mask,
teddy_mask=teddy_mask,
box_world_polygon=box_world_polygon,
teddy_world_center=teddy_world_center,
teddy_world_extent=teddy_world_extent,
table_depth_mm=table_depth_mm,
box_height_m=box_height_m,
teddy_height_m=teddy_height_m,
)
def solve_table_camera(
table_corners_px: np.ndarray, table_size_m: tuple[float, float], focal_px: float
) -> tuple[np.ndarray, np.ndarray, np.ndarray]:
width_m, height_m = table_size_m
object_points = np.array(
[
[-width_m / 2, -height_m / 2, 0.0],
[width_m / 2, -height_m / 2, 0.0],
[width_m / 2, height_m / 2, 0.0],
[-width_m / 2, height_m / 2, 0.0],
],
dtype=np.float64,
)
camera_matrix = np.array(
[[focal_px, 0.0, 960.0], [0.0, focal_px, 540.0], [0.0, 0.0, 1.0]],
dtype=np.float64,
)
ok, rvec, tvec = cv2.solvePnP(object_points, table_corners_px, camera_matrix, None, flags=cv2.SOLVEPNP_IPPE)
if not ok:
raise RuntimeError("solvePnP failed for table camera fit")
return camera_matrix, rvec, tvec
def detect_red_box(rgb: np.ndarray) -> np.ndarray:
hsv = cv2.cvtColor(rgb, cv2.COLOR_RGB2HSV)
h, s, v = hsv[..., 0], hsv[..., 1], hsv[..., 2]
mask = (((h < 12) | (h > 170)) & (s > 60) & (v > 80)).astype(np.uint8)
num, labels, stats, centers = cv2.connectedComponentsWithStats(mask, connectivity=8)
best = None
best_area = -1
for i in range(1, num):
x, y, w, h_box, area = stats[i]
cx, cy = centers[i]
if area > 50_000 and x > 900 and y < 700 and area > best_area:
best_area = int(area)
best = labels == i
if best is None:
raise RuntimeError("failed to detect red box component")
return best
def detect_teddy(rgb: np.ndarray) -> np.ndarray:
hsv = cv2.cvtColor(rgb, cv2.COLOR_RGB2HSV)
h, s, v = hsv[..., 0], hsv[..., 1], hsv[..., 2]
mask = ((h > 5) & (h < 22) & (s > 15) & (s < 120) & (v > 110) & (v < 245)).astype(np.uint8)
num, labels, stats, centers = cv2.connectedComponentsWithStats(mask, connectivity=8)
best = None
best_area = -1
for i in range(1, num):
x, y, w, h_box, area = stats[i]
cx, cy = centers[i]
if 5_000 < area < 50_000 and 850 < cx < 1250 and 350 < cy < 700 and area > best_area:
best_area = int(area)
best = labels == i
if best is None:
raise RuntimeError("failed to detect teddy component")
return best
def estimate_table_depth_mm(depth: np.ndarray) -> float:
center_region = depth[150:430, 120:520]
valid = center_region[center_region > 0]
if len(valid) == 0:
raise RuntimeError("no valid table depth values")
return float(np.percentile(valid, 50))
def estimate_height_from_depth(rgb: np.ndarray, depth: np.ndarray, rgb_mask: np.ndarray, table_depth_mm: float) -> float:
ys, xs = np.where(rgb_mask)
if len(xs) == 0:
return 0.0
xd = np.clip((xs * depth.shape[1] / rgb.shape[1]).astype(int), 0, depth.shape[1] - 1)
yd = np.clip((ys * depth.shape[0] / rgb.shape[0]).astype(int), 0, depth.shape[0] - 1)
values = depth[yd, xd]
values = values[values > 0]
if len(values) == 0:
return 0.0
# Use a low percentile to reduce the effect of table pixels around the object.
object_depth_mm = float(np.percentile(values, 10))
return max(0.0, (table_depth_mm - object_depth_mm) / 1000.0)
def image_mask_to_world_polygon(mask: np.ndarray, camera_matrix: np.ndarray, rvec: np.ndarray, tvec: np.ndarray) -> np.ndarray:
points = np.column_stack(np.where(mask > 0))[:, ::-1].astype(np.float64)
rect = cv2.minAreaRect(points.astype(np.float32))
corners = cv2.boxPoints(rect).astype(np.float64)
return pixels_to_world_on_table(corners, camera_matrix, rvec, tvec)
def mask_centroid_and_extent_world(
mask: np.ndarray, camera_matrix: np.ndarray, rvec: np.ndarray, tvec: np.ndarray
) -> tuple[np.ndarray, np.ndarray]:
points = np.column_stack(np.where(mask > 0))[:, ::-1].astype(np.float64)
world_points = pixels_to_world_on_table(points, camera_matrix, rvec, tvec)
center = world_points.mean(axis=0)
extent = world_points.max(axis=0) - world_points.min(axis=0)
return center, extent
def pixels_to_world_on_table(
pixels_uv: np.ndarray, camera_matrix: np.ndarray, rvec: np.ndarray, tvec: np.ndarray
) -> np.ndarray:
rotation, _ = cv2.Rodrigues(rvec)
camera_position = (-rotation.T @ tvec).reshape(3)
inv_camera = np.linalg.inv(camera_matrix)
world_points = []
for u, v in pixels_uv:
ray_cam = inv_camera @ np.array([u, v, 1.0], dtype=np.float64)
ray_cam /= np.linalg.norm(ray_cam)
ray_world = rotation.T @ ray_cam
if abs(ray_world[2]) < 1e-8:
continue
scale = -camera_position[2] / ray_world[2]
world_points.append(camera_position + scale * ray_world)
if not world_points:
raise RuntimeError("failed to back-project pixels to the table plane")
return np.stack(world_points, axis=0)
def create_background_inpaint(rgb: np.ndarray) -> np.ndarray:
mask = np.zeros(rgb.shape[:2], dtype=np.uint8)
polygon = np.array(
[[1080, 520], [1919, 520], [1919, 1079], [980, 1079], [980, 850], [1080, 760]],
dtype=np.int32,
)
cv2.fillPoly(mask, [polygon], 255)
cv2.rectangle(mask, (1120, 300), (1450, 680), 0, -1)
cv2.rectangle(mask, (860, 350), (1180, 700), 0, -1)
return cv2.cvtColor(cv2.inpaint(cv2.cvtColor(rgb, cv2.COLOR_RGB2BGR), mask, 7, cv2.INPAINT_TELEA), cv2.COLOR_BGR2RGB)
def kinova_fk_points_world(q_deg: np.ndarray, base_world: np.ndarray, base_yaw_rad: float) -> np.ndarray:
points, _ = kinova_fk_points_and_tool_pose(q_deg)
cy, sy = np.cos(base_yaw_rad), np.sin(base_yaw_rad)
base_rotation = np.array([[cy, -sy, 0.0], [sy, cy, 0.0], [0.0, 0.0, 1.0]], dtype=np.float64)
return points @ base_rotation.T + base_world.reshape(1, 3)
def transform_robot_points(points_robot: np.ndarray, robot_world_rvec: np.ndarray, robot_world_tvec: np.ndarray) -> np.ndarray:
rotation, _ = cv2.Rodrigues(np.asarray(robot_world_rvec, dtype=np.float64).reshape(3, 1))
translation = np.asarray(robot_world_tvec, dtype=np.float64).reshape(1, 3)
return np.asarray(points_robot, dtype=np.float64) @ rotation.T + translation
def robot_tool_position_world(
tool_position_robot: np.ndarray, robot_world_rvec: np.ndarray, robot_world_tvec: np.ndarray
) -> np.ndarray:
return transform_robot_points(np.asarray(tool_position_robot, dtype=np.float64).reshape(1, 3), robot_world_rvec, robot_world_tvec)[0]
def kinova_fk_points_and_tool_pose(q_deg: np.ndarray) -> tuple[np.ndarray, np.ndarray]:
q = np.deg2rad(np.asarray(q_deg, dtype=np.float64))
params = [
(np.pi, 0.0, 0.0, 0.0),
(np.pi / 2, 0.0, -(0.1564 + 0.1284), q[0]),
(np.pi / 2, 0.0, -(0.0054 + 0.0064), q[1] + np.pi),
(np.pi / 2, 0.0, -(0.2104 + 0.2104), q[2] + np.pi),
(np.pi / 2, 0.0, -(0.0064 + 0.0064), q[3] + np.pi),
(np.pi / 2, 0.0, -(0.2084 + 0.1059), q[4] + np.pi),
(np.pi / 2, 0.0, 0.0, q[5] + np.pi),
(np.pi, 0.0, -(0.1059 + 0.0615), q[6] + np.pi),
]
def dh(alpha: float, a: float, d: float, theta: float) -> np.ndarray:
ca, sa = np.cos(alpha), np.sin(alpha)
ct, st = np.cos(theta), np.sin(theta)
return np.array(
[
[ct, -st * ca, st * sa, a * ct],
[st, ct * ca, -ct * sa, a * st],
[0.0, sa, ca, d],
[0.0, 0.0, 0.0, 1.0],
],
dtype=np.float64,
)
transform = np.eye(4, dtype=np.float64)
points = []
for alpha, a, d, theta in params:
transform = transform @ dh(alpha, a, d, theta)
points.append(transform[:3, 3].copy())
tool_transform = transform.copy()
tool_transform[:3, 3] = tool_transform[:3, 3] + tool_transform[:3, 2] * TOOL_OFFSET_M
points.append(tool_transform[:3, 3].copy())
return np.stack(points, axis=0), tool_transform
def project_world_points(points_world: np.ndarray, camera_matrix: np.ndarray, rvec: np.ndarray, tvec: np.ndarray) -> tuple[np.ndarray, np.ndarray]:
image_points, _ = cv2.projectPoints(points_world.astype(np.float64), rvec, tvec, camera_matrix, None)
rotation, _ = cv2.Rodrigues(rvec)
camera_points = (rotation @ points_world.T + tvec).T
return image_points[:, 0, :], camera_points[:, 2]
def draw_robot(
image: np.ndarray,
q_deg: np.ndarray,
camera_matrix: np.ndarray,
rvec: np.ndarray,
tvec: np.ndarray,
base_world: np.ndarray | None = None,
base_yaw_rad: float | None = None,
robot_world_rvec: np.ndarray | None = None,
robot_world_tvec: np.ndarray | None = None,
color: tuple[int, int, int] = (232, 242, 250),
alpha: float = 1.0,
) -> np.ndarray:
canvas = image.copy()
if robot_world_rvec is not None and robot_world_tvec is not None:
points_robot, _ = kinova_fk_points_and_tool_pose(q_deg)
points_world = transform_robot_points(points_robot, robot_world_rvec, robot_world_tvec)
else:
if base_world is None or base_yaw_rad is None:
raise ValueError("base_world/base_yaw_rad or robot_world_rvec/robot_world_tvec must be provided")
points_world = kinova_fk_points_world(q_deg, base_world, base_yaw_rad)
uv, z = project_world_points(points_world, camera_matrix, rvec, tvec)
overlay = canvas.copy()
link_palette = [
(214, 224, 232),
(222, 232, 239),
(214, 224, 232),
(206, 220, 229),
(198, 214, 224),
(190, 208, 220),
(182, 202, 215),
(172, 196, 212),
]
outline = (70, 86, 98)
joint_fill = (230, 236, 240)
for idx, (p0, p1, depth_value) in enumerate(zip(uv[:-1], uv[1:], z[:-1], strict=False)):
base_thickness = max(14, int(52 / max(depth_value, 0.35)))
fill_color = link_palette[min(idx, len(link_palette) - 1)]
cv2.line(
overlay,
tuple(np.round(p0).astype(int)),
tuple(np.round(p1).astype(int)),
outline,
base_thickness + 8,
lineType=cv2.LINE_AA,
)
cv2.line(
overlay,
tuple(np.round(p0).astype(int)),
tuple(np.round(p1).astype(int)),
fill_color,
base_thickness,
lineType=cv2.LINE_AA,
)
for point, depth_value in zip(uv, z, strict=False):
radius = max(10, int(24 / max(depth_value, 0.35)))
center = tuple(np.round(point).astype(int))
cv2.circle(overlay, center, radius + 4, outline, -1, lineType=cv2.LINE_AA)
cv2.circle(overlay, center, radius, joint_fill, -1, lineType=cv2.LINE_AA)
if alpha >= 1.0:
return overlay
return cv2.addWeighted(overlay, alpha, canvas, 1.0 - alpha, 0.0)
def render_robot_mask(
image_shape: tuple[int, int] | tuple[int, int, int],
q_deg: np.ndarray,
camera_matrix: np.ndarray,
rvec: np.ndarray,
tvec: np.ndarray,
robot_world_rvec: np.ndarray,
robot_world_tvec: np.ndarray,
extra_dilate: int = 0,
) -> np.ndarray:
height, width = image_shape[:2]
points_robot, _ = kinova_fk_points_and_tool_pose(q_deg)
points_world = transform_robot_points(points_robot, robot_world_rvec, robot_world_tvec)
uv, z = project_world_points(points_world, camera_matrix, rvec, tvec)
mask = np.zeros((height, width), dtype=np.uint8)
for p0, p1, depth_value in zip(uv[:-1], uv[1:], z[:-1], strict=False):
thickness = max(18, int(60 / max(depth_value, 0.35)))
cv2.line(
mask,
tuple(np.round(p0).astype(int)),
tuple(np.round(p1).astype(int)),
255,
thickness,
lineType=cv2.LINE_AA,
)
for point, depth_value in zip(uv, z, strict=False):
radius = max(12, int(26 / max(depth_value, 0.35)))
cv2.circle(mask, tuple(np.round(point).astype(int)), radius, 255, -1, lineType=cv2.LINE_AA)
if extra_dilate > 0:
kernel = np.ones((extra_dilate, extra_dilate), dtype=np.uint8)
mask = cv2.dilate(mask, kernel, iterations=1)
return mask
def render_scene(
calibration: SceneCalibration,
q_deg: np.ndarray,
background: np.ndarray | None = None,
color: tuple[int, int, int] = (232, 242, 250),
alpha: float = 1.0,
) -> np.ndarray:
if background is None:
background = create_background_inpaint(calibration.rgb)
return draw_robot(
background,
q_deg,
calibration.camera_matrix,
calibration.rvec,
calibration.tvec,
base_world=calibration.robot_base_world,
base_yaw_rad=calibration.robot_base_yaw_rad,
robot_world_rvec=calibration.robot_world_rvec,
robot_world_tvec=calibration.robot_world_tvec,
color=color,
alpha=alpha,
)
def scene_to_jsonable(calibration: SceneCalibration) -> dict[str, Any]:
return {
"session_root": str(calibration.session_root),
"sync_row_index": calibration.sync_row_index,
"azure_rgb_seq": calibration.azure_rgb_seq,
"azure_depth_seq": calibration.azure_depth_seq,
"robot_seq": calibration.robot_seq,
"rgb_path": str(calibration.rgb_path),
"depth_path": str(calibration.depth_path),
"table_corners_px": calibration.table_corners_px.tolist(),
"table_size_m": list(calibration.table_size_m),
"camera_focal_px": float(calibration.camera_matrix[0, 0]),
"rvec": calibration.rvec.reshape(-1).tolist(),
"tvec": calibration.tvec.reshape(-1).tolist(),
"robot_base_world": calibration.robot_base_world.tolist(),
"robot_base_yaw_rad": float(calibration.robot_base_yaw_rad),
"robot_world_rvec": calibration.robot_world_rvec.tolist(),
"robot_world_tvec": calibration.robot_world_tvec.tolist(),
"sync_row": calibration.sync_row,
"table_depth_mm": float(calibration.table_depth_mm),
"box_height_m": float(calibration.box_height_m),
"teddy_height_m": float(calibration.teddy_height_m),
"box_world_polygon": calibration.box_world_polygon.tolist(),
"teddy_world_center": calibration.teddy_world_center.tolist(),
"teddy_world_extent": calibration.teddy_world_extent.tolist(),
}
def save_scene_json(calibration: SceneCalibration, path: str | Path) -> None:
path = Path(path)
path.write_text(json.dumps(scene_to_jsonable(calibration), indent=2))
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