hand-tracking-drawing / src /canvas3d.py
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"""Depth aware 3D drawing canvas."""
from __future__ import annotations
from dataclasses import dataclass, field
from datetime import datetime
from pathlib import Path
import cv2
import numpy as np
from canvas import PALETTE
from smoothing import OneEuroFilter
MAX_JUMP = 0.12
MIN_STEP = 2.0
DEPTH_SPAN = 1.15
DEPTH_PX_PER_METER = 1.7
DEPTH_MIN_METERS = 0.12
DEPTH_BAND = 0.015
DEPTH_MAX_SPEED = 1.1
DEPTH_CUTOFF = 0.8
DEPTH_BETA = 4.0
DEPTH_STEP = 5.0
GRADIENT_SPAN = 0.5
GRADIENT_LO = 40
GRADIENT_HI = 218
TAIL = 7
NEAR_GAIN = 1.35
FAR_GAIN = 0.55
GRADIENT_NEAR_GAIN = 1.12
GRADIENT_FAR_GAIN = 0.80
_TURBO: np.ndarray = cv2.applyColorMap(
np.arange(256, dtype=np.uint8).reshape(-1, 1), cv2.COLORMAP_TURBO
).reshape(-1, 3)
@dataclass
class View:
"""Camera orientation and zoom."""
yaw: float = 0.0
pitch: float = 0.0
roll: float = 0.0
scale: float = 1.0
@dataclass
class Stroke3D:
"""One stroke in world space."""
color: tuple[int, int, int]
thickness: int
gradient: bool = False
view: View = field(default_factory=View)
points: list[tuple[float, float, float]] = field(default_factory=list)
screen: list[tuple[float, float]] = field(default_factory=list)
class DepthPen:
"""Noise tolerant metric depth."""
def __init__(self, band: float = DEPTH_BAND, max_speed: float = DEPTH_MAX_SPEED) -> None:
self.band = band
self.max_speed = max_speed
self.filter = OneEuroFilter(min_cutoff=DEPTH_CUTOFF, beta=DEPTH_BETA)
self.value: float | None = None
self.raw: float = 0.0
def reset(self) -> None:
"""Drop tracking state."""
self.filter.reset()
self.value = None
def __call__(self, depth_meters: float, dt: float) -> float | None:
"""Filter one depth sample."""
d = float(depth_meters)
if not np.isfinite(d) or d < DEPTH_MIN_METERS:
return self.value
step = max(float(dt), 1e-3)
self.raw = d
smooth = float(self.filter(np.array([d], dtype=np.float64), step)[0])
if self.value is None:
self.value = smooth
return self.value
delta = smooth - self.value
if abs(delta) <= self.band:
return self.value
move = np.sign(delta) * (abs(delta) - self.band)
limit = self.max_speed * step
self.value += float(np.clip(move, -limit, limit))
return self.value
def rotation(yaw: float, pitch: float, roll: float) -> np.ndarray:
"""Build rotation matrix."""
cy, sy = np.cos(yaw), np.sin(yaw)
cp, sp = np.cos(pitch), np.sin(pitch)
cr, sr = np.cos(roll), np.sin(roll)
ry = np.array([[cy, 0.0, sy], [0.0, 1.0, 0.0], [-sy, 0.0, cy]])
rx = np.array([[1.0, 0.0, 0.0], [0.0, cp, -sp], [0.0, sp, cp]])
rz = np.array([[cr, -sr, 0.0], [sr, cr, 0.0], [0.0, 0.0, 1.0]])
return rz @ ry @ rx
class Canvas3D:
"""Vector canvas with per point depth."""
def __init__(self, width: int, height: int, output_dir: str | Path = "output") -> None:
self.width = width
self.height = height
self.output_dir = Path(output_dir)
self.strokes: list[Stroke3D] = []
self._active: Stroke3D | None = None
self.color: tuple[int, int, int] = PALETTE[0]
self.gradient = True
self.thickness: int = 6
self.revision = 0
self.depth_span = float(height) * DEPTH_SPAN
self.gradient_span = float(height) * GRADIENT_SPAN
self.distance = float(height) * 2.2
self.focal = self.distance
self.px_per_meter = float(height) * DEPTH_PX_PER_METER
self.depth_ref: float | None = None
self.last_depth: float = 0.0
self.last_z: float = 0.0
self.view = View()
self.pen = DepthPen()
self._last_screen: tuple[float, float] | None = None
self._last_z = 0.0
def set_view(self, view: View) -> None:
"""Store the current camera."""
self.view = view
def depth_to_world_z(self, depth_meters: float, dt: float) -> float:
"""Map metric depth to world Z."""
held = self.pen(depth_meters, dt)
if held is None:
return self.last_z
if self.depth_ref is None:
self.depth_ref = held
self.last_depth = held
self.last_z = float(np.clip((held - self.depth_ref) * self.px_per_meter,
-self.depth_span, self.depth_span))
return self.last_z
def depth_color(self, world_z: float) -> tuple[int, int, int]:
"""Gradient color for a depth."""
t = float(np.clip((world_z + self.gradient_span) / (2.0 * self.gradient_span), 0.0, 1.0))
b, g, r = _TURBO[int(round(GRADIENT_LO + (1.0 - t) * (GRADIENT_HI - GRADIENT_LO)))]
return int(b), int(g), int(r)
def pen_color(self) -> tuple[int, int, int]:
"""Color the pen draws with now."""
return self.depth_color(self.last_z) if self.gradient else self.color
def use_gradient(self) -> None:
"""Color strokes by depth."""
self.gradient = True
def _matrix(self, view: View | None = None) -> np.ndarray:
"""Scaled rotation matrix."""
v = view or self.view
return rotation(v.yaw, v.pitch, v.roll) * max(v.scale, 1e-3)
def project(self, points: np.ndarray, view: View | None = None) -> tuple[np.ndarray, np.ndarray]:
"""Project world points to screen."""
pts = np.asarray(points, dtype=np.float64).reshape(-1, 3)
cam = pts @ self._matrix(view).T
z = np.maximum(cam[:, 2] + self.distance, 1e-3)
cx, cy = self.width * 0.5, self.height * 0.5
sx = cx + self.focal * cam[:, 0] / z
sy = cy + self.focal * cam[:, 1] / z
return np.stack([sx, sy], axis=1), z
def unproject(self, screen: np.ndarray, world_z: float,
view: View | None = None) -> tuple[float, float, float]:
"""Screen point at known depth to world."""
a = self._matrix(view)
cx, cy = self.width * 0.5, self.height * 0.5
u = float(screen[0]) - cx
v = float(screen[1]) - cy
f = self.focal
m = np.array(
[
[f * a[0, 0] - u * a[2, 0], f * a[0, 1] - u * a[2, 1]],
[f * a[1, 0] - v * a[2, 0], f * a[1, 1] - v * a[2, 1]],
],
dtype=np.float64,
)
rhs = np.array(
[
u * (a[2, 2] * world_z + self.distance) - f * a[0, 2] * world_z,
v * (a[2, 2] * world_z + self.distance) - f * a[1, 2] * world_z,
],
dtype=np.float64,
)
det = m[0, 0] * m[1, 1] - m[0, 1] * m[1, 0]
if abs(det) < 1e-9:
return 0.0, 0.0, world_z
x, y = np.linalg.solve(m, rhs)
return float(x), float(y), float(world_z)
def begin(self, view: View | None = None) -> None:
"""Start a new stroke."""
if self._active is None:
self._active = Stroke3D(color=self.color, thickness=self.thickness,
gradient=self.gradient, view=view or self.view)
self.strokes.append(self._active)
self._last_screen = None
def add_point(self, screen_point, depth_meters: float, dt: float,
view: View | None = None) -> None:
"""Append a screen point with metric depth."""
if self._active is None:
self.begin(view)
assert self._active is not None
sx = float(np.clip(float(screen_point[0]), 0.0, self.width - 1.0))
sy = float(np.clip(float(screen_point[1]), 0.0, self.height - 1.0))
z = self.depth_to_world_z(depth_meters, dt)
if self._last_screen is not None:
jump = float(np.hypot(sx - self._last_screen[0], sy - self._last_screen[1]))
if jump < MIN_STEP and abs(z - self._last_z) < DEPTH_STEP:
return
if jump > MAX_JUMP * float(np.hypot(self.width, self.height)):
self.end()
self.begin(view)
assert self._active is not None
stroke = self._active
stroke.points.append(self.unproject(np.array([sx, sy]), z, stroke.view))
stroke.screen.append((sx, sy))
self._smooth_tail()
self._last_screen = (sx, sy)
self._last_z = z
self.revision += 1
def _smooth_tail(self) -> None:
"""Low pass the newest depths."""
stroke = self._active
if stroke is None or len(stroke.points) < 3:
return
n = len(stroke.points)
zs = [p[2] for p in stroke.points]
for i in range(max(1, n - TAIL), n - 1):
z = 0.25 * zs[i - 1] + 0.5 * zs[i] + 0.25 * zs[i + 1]
if abs(z - zs[i]) < 1e-3:
continue
stroke.points[i] = self.unproject(np.array(stroke.screen[i]), z, stroke.view)
def end(self) -> None:
"""Finish current stroke."""
if self._active is not None and not self._active.points:
self.strokes.remove(self._active)
self.revision += 1
self._active = None
self._last_screen = None
self.pen.reset()
def undo(self) -> None:
"""Remove last stroke."""
if self.strokes:
self.strokes.pop()
self._active = None
self._last_screen = None
self.revision += 1
def clear(self) -> None:
"""Erase everything."""
self.strokes.clear()
self._active = None
self._last_screen = None
self._last_z = 0.0
self.pen.reset()
self.depth_ref = None
self.revision += 1
def set_color(self, index: int) -> None:
"""Select palette color."""
self.color = PALETTE[index % len(PALETTE)]
self.gradient = False
def set_thickness(self, value: int) -> None:
"""Set stroke thickness."""
self.thickness = int(max(1, min(48, value)))
def scale_content(self, factor: float) -> None:
"""Scale drawing about origin."""
if not self.strokes or abs(factor - 1.0) < 1e-3:
return
for s in self.strokes:
s.points = [(x * factor, y * factor, z * factor) for x, y, z in s.points]
s.thickness = int(max(1, min(48, round(s.thickness * factor))))
self._active = None
self._last_screen = None
self.revision += 1
@property
def is_empty(self) -> bool:
"""No strokes drawn."""
return not any(s.points for s in self.strokes)
def all_points(self) -> np.ndarray:
"""Every world point."""
pts = [p for s in self.strokes for p in s.points]
if not pts:
return np.zeros((0, 3), dtype=np.float64)
return np.asarray(pts, dtype=np.float64)
def content_span(self, view: View | None = None) -> float:
"""Projected diagonal length."""
pts = self.all_points()
if pts.shape[0] == 0:
return 0.0
proj, _ = self.project(pts, view)
x0, y0 = proj.min(axis=0)
x1, y1 = proj.max(axis=0)
return float(np.hypot(x1 - x0, y1 - y0))
def _segments(self, view: View | None = None) -> list[tuple[float, np.ndarray, np.ndarray, tuple[int, int, int], int]]:
"""Depth sorted screen segments."""
out: list[tuple[float, np.ndarray, np.ndarray, tuple[int, int, int], int]] = []
for s in self.strokes:
if not s.points:
continue
pts = np.asarray(s.points, dtype=np.float64)
proj, z = self.project(pts, view)
if len(s.points) == 1:
color = self.depth_color(pts[0, 2]) if s.gradient else s.color
out.append((float(z[0]), proj[0], proj[0],
self._shade(color, float(z[0]), s.gradient), s.thickness))
continue
for i in range(len(s.points) - 1):
zc = float((z[i] + z[i + 1]) * 0.5)
if s.gradient:
color = self.depth_color(float((pts[i, 2] + pts[i + 1, 2]) * 0.5))
else:
color = s.color
out.append((zc, proj[i], proj[i + 1],
self._shade(color, zc, s.gradient), s.thickness))
out.sort(key=lambda item: item[0], reverse=True)
return out
def _shade(self, color: tuple[int, int, int], z: float,
gradient: bool = False) -> tuple[int, int, int]:
"""Dim color by distance."""
t = float(np.clip((z - self.distance) / max(self.depth_span, 1e-6) + 0.5, 0.0, 1.0))
near, far = (GRADIENT_NEAR_GAIN, GRADIENT_FAR_GAIN) if gradient else (NEAR_GAIN, FAR_GAIN)
gain = near + (far - near) * t
return tuple(int(np.clip(c * gain, 0, 255)) for c in color)
def _thickness_at(self, base: int, z: float) -> int:
"""Perspective scaled thickness."""
k = self.focal / max(z, 1e-3)
return int(max(1, min(64, round(base * k))))
def render_over(self, frame: np.ndarray, view: View | None = None) -> np.ndarray:
"""Draw strokes onto a frame."""
out = frame.copy()
for z, a, b, color, thick in self._segments(view):
pa = (int(round(a[0])), int(round(a[1])))
pb = (int(round(b[0])), int(round(b[1])))
width = self._thickness_at(thick, z)
if pa == pb:
cv2.circle(out, pa, max(1, width // 2), color, -1, cv2.LINE_AA)
else:
cv2.line(out, pa, pb, color, width, cv2.LINE_AA)
return out
def composite_over(self, frame: np.ndarray, opacity: float = 1.0) -> np.ndarray:
"""Blend drawing onto frame."""
drawn = self.render_over(frame, self.view)
if opacity >= 1.0:
return drawn
return cv2.addWeighted(drawn, opacity, frame, 1.0 - opacity, 0.0)
def layers(self, view: View | None = None) -> tuple[np.ndarray, np.ndarray]:
"""Color layer and alpha mask."""
layer = np.zeros((self.height, self.width, 3), dtype=np.uint8)
mask = np.zeros((self.height, self.width), dtype=np.uint8)
for z, a, b, color, thick in self._segments(view):
pa = (int(round(a[0])), int(round(a[1])))
pb = (int(round(b[0])), int(round(b[1])))
width = self._thickness_at(thick, z)
if pa == pb:
cv2.circle(layer, pa, max(1, width // 2), color, -1, cv2.LINE_AA)
cv2.circle(mask, pa, max(1, width // 2), 255, -1, cv2.LINE_AA)
else:
cv2.line(layer, pa, pb, color, width, cv2.LINE_AA)
cv2.line(mask, pa, pb, 255, width, cv2.LINE_AA)
return layer, mask
def to_bgra(self, view: View | None = None) -> np.ndarray:
"""Drawing with transparent background."""
layer, mask = self.layers(view)
return np.dstack([layer, mask])
def save(self, tag: str = "3d") -> list[Path]:
"""Save current view as PNGs."""
self.output_dir.mkdir(parents=True, exist_ok=True)
stamp = datetime.now().strftime("%Y%m%d_%H%M%S")
suffix = f"_{tag}" if tag else ""
saved: list[Path] = []
layer, mask = self.layers(self.view)
transparent = self.output_dir / f"drawing_{stamp}{suffix}.png"
cv2.imwrite(str(transparent), np.dstack([layer, mask]))
saved.append(transparent)
white = np.full((self.height, self.width, 3), 255, dtype=np.uint8)
alpha = (mask.astype(np.float32) / 255.0)[:, :, None]
flat = (white * (1.0 - alpha) + layer * alpha).astype(np.uint8)
on_white = self.output_dir / f"drawing_{stamp}{suffix}_white.png"
cv2.imwrite(str(on_white), flat)
saved.append(on_white)
return saved