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Instead of lifting individual 2D corners to 3D via a single depth sample,
this module:
1. Extracts 2D line segments from gestalt edge masks (eave/ridge/rake/etc).
2. Samples many depth values along each 2D segment.
3. Fits a robust 3D line through the unprojected samples (RANSAC).
4. Merges similar 3D lines across views (direction + proximity).
5. Computes closest-point intersections of 3D line pairs β vertex candidates.
The resulting vertices average over many depth samples, cancelling noise
that single-pixel corner depth estimates cannot. The 3D line intersections
give overdetermined vertex positions.
Entry points:
extract_3d_lines(entry) β list[Line3D]
intersect_lines_to_vertices(lines, ...) β np.ndarray
predict_wireframe_lines(entry) β (vertices, edges)
"""
from __future__ import annotations
import numpy as np
import cv2
from dataclasses import dataclass
from hoho2025.example_solutions import (
convert_entry_to_human_readable,
empty_solution,
point_to_segment_dist,
)
from hoho2025.color_mappings import gestalt_color_mapping
try:
from mvs_utils import collect_views, project_world_to_image
except ImportError:
from submission.mvs_utils import collect_views, project_world_to_image
EDGE_CLASSES = ['eave', 'ridge', 'rake', 'valley', 'hip']
VERTEX_CLASSES = ['apex', 'eave_end_point', 'flashing_end_point']
@dataclass
class Line3D:
"""A 3D line segment fitted from depth samples."""
point: np.ndarray # (3,) β a point on the line
direction: np.ndarray # (3,) β unit direction vector
p1: np.ndarray # (3,) β endpoint 1
p2: np.ndarray # (3,) β endpoint 2
length: float
n_inliers: int
edge_class: str
view_id: str
# ---------------------------------------------------------------------------
# Step 1-2: Extract 2D segments, sample depth, fit 3D lines
# ---------------------------------------------------------------------------
def _unproject_pixel(u, v, depth, K_inv, R_t_inv, t_world):
"""Unproject a single pixel (u, v) at the given depth to world coords.
K_inv : (3,3) β inverse intrinsics
R_t_inv : (3,3) β R^T (inverse rotation)
t_world : (3,) β camera centre in world = -R^T @ t
"""
z = float(depth)
if z <= 0.01 or z > 80.0:
return None
cam = K_inv @ np.array([u * z, v * z, z])
world = R_t_inv @ cam + t_world
return world
def _fit_3d_line_ransac(
pts3d: np.ndarray,
n_iter: int = 100,
inlier_th: float = 0.3,
min_inliers: int = 5,
) -> tuple[np.ndarray, np.ndarray, np.ndarray] | None:
"""RANSAC-fit a 3D line through a set of 3D points.
Returns (point_on_line, unit_direction, inlier_pts) or None.
"""
n = len(pts3d)
if n < 2:
return None
best_inliers = None
best_dir = None
best_pt = None
best_count = 0
for _ in range(n_iter):
idx = np.random.choice(n, 2, replace=False)
p1, p2 = pts3d[idx[0]], pts3d[idx[1]]
d = p2 - p1
length = np.linalg.norm(d)
if length < 0.05:
continue
d = d / length
# Distance from each point to the line (p1, d)
rel = pts3d - p1
proj = rel @ d
perp = rel - proj[:, None] * d
dists = np.linalg.norm(perp, axis=1)
inlier_mask = dists <= inlier_th
count = int(inlier_mask.sum())
if count > best_count:
best_count = count
best_inliers = inlier_mask
best_dir = d
best_pt = p1
if best_count < min_inliers or best_inliers is None:
return None
# Refit on inliers using PCA
inlier_pts = pts3d[best_inliers]
centroid = inlier_pts.mean(axis=0)
_, _, Vt = np.linalg.svd(inlier_pts - centroid)
direction = Vt[0]
if np.dot(direction, best_dir) < 0:
direction = -direction
return centroid, direction, inlier_pts
def extract_3d_lines_single_view(
gest_np: np.ndarray,
depth_np: np.ndarray,
view_info: dict,
n_samples: int = 30,
min_line_px: int = 20,
) -> list[Line3D]:
"""Extract 3D lines from a single view's gestalt + depth."""
H, W = depth_np.shape[:2]
K = view_info['K']
R = view_info['R']
t = view_info['t']
K_inv = np.linalg.inv(K)
R_inv = R.T
cam_center = -R_inv @ t
lines: list[Line3D] = []
view_id = view_info['image_id']
for edge_class in EDGE_CLASSES:
color = np.array(gestalt_color_mapping[edge_class])
mask = cv2.inRange(gest_np, color - 0.5, color + 0.5)
mask = cv2.morphologyEx(mask, cv2.MORPH_CLOSE, np.ones((5, 5), np.uint8))
if mask.sum() == 0:
continue
_, labels, stats, _ = cv2.connectedComponentsWithStats(mask, 8, cv2.CV_32S)
for lbl in range(1, labels.max() + 1):
area = stats[lbl, cv2.CC_STAT_AREA]
if area < min_line_px:
continue
ys, xs = np.where(labels == lbl)
if len(xs) < 3:
continue
# Fit 2D line to get direction + endpoints
pts2d = np.column_stack([xs, ys]).astype(np.float32)
line_params = cv2.fitLine(pts2d, cv2.DIST_L2, 0, 0.01, 0.01)
vx, vy, x0, y0 = line_params.ravel()
proj = (xs - x0) * vx + (ys - y0) * vy
t_min, t_max = float(proj.min()), float(proj.max())
# Sample N points along the 2D line
ts = np.linspace(t_min, t_max, n_samples)
pts3d_list = []
for t_val in ts:
u = x0 + t_val * vx
v_px = y0 + t_val * vy
ui, vi = int(round(u)), int(round(v_px))
if 0 <= ui < W and 0 <= vi < H:
d = depth_np[vi, ui]
p = _unproject_pixel(u, v_px, d, K_inv, R_inv, cam_center)
if p is not None:
pts3d_list.append(p)
if len(pts3d_list) < 5:
continue
pts3d = np.array(pts3d_list, dtype=np.float64)
result = _fit_3d_line_ransac(pts3d, n_iter=50, inlier_th=0.3, min_inliers=5)
if result is None:
continue
centroid, direction, inlier_pts = result
# Endpoints: project inliers onto direction, take extremes
s = (inlier_pts - centroid) @ direction
p1 = centroid + float(s.min()) * direction
p2 = centroid + float(s.max()) * direction
length = float(np.linalg.norm(p2 - p1))
if length < 0.3:
continue
lines.append(Line3D(
point=centroid,
direction=direction,
p1=p1, p2=p2,
length=length,
n_inliers=len(inlier_pts),
edge_class=edge_class,
view_id=view_id,
))
return lines
# ---------------------------------------------------------------------------
# Step 1-2 entry: all views
# ---------------------------------------------------------------------------
def extract_3d_lines(entry) -> tuple[list[Line3D], dict]:
"""Extract 3D lines from all views.
Returns (all_lines, good_entry).
"""
good = convert_entry_to_human_readable(entry)
colmap_rec = good.get('colmap') or good.get('colmap_binary')
if colmap_rec is None:
return [], good
views = collect_views(colmap_rec, good['image_ids'])
all_lines: list[Line3D] = []
for gest, depth, img_id in zip(good['gestalt'], good['depth'], good['image_ids']):
info = views.get(img_id)
if info is None:
continue
depth_np = np.array(depth).astype(np.float64) / 1000.0
H, W = depth_np.shape[:2]
gest_np = np.array(gest.resize((W, H))).astype(np.uint8)
# Affine depth calibration using COLMAP sparse depth (same as pipeline)
try:
from hoho2025.example_solutions import get_sparse_depth, get_house_mask
from sklearn_submission import fit_affine_ransac
depth_sparse, found, _, _ = get_sparse_depth(colmap_rec, img_id, depth_np)
if found:
_, _, depth_np = fit_affine_ransac(depth_np, depth_sparse,
get_house_mask(good['ade'][good['image_ids'].index(img_id)]))
except Exception:
pass # use raw depth if calibration fails
view_lines = extract_3d_lines_single_view(gest_np, depth_np, info)
all_lines.extend(view_lines)
return all_lines, good
# ---------------------------------------------------------------------------
# Step 3: Merge similar 3D lines across views
# ---------------------------------------------------------------------------
def merge_3d_lines(
lines: list[Line3D],
direction_cos: float = 0.95,
midpoint_dist: float = 1.0,
) -> list[Line3D]:
"""Merge 3D lines that have similar direction and nearby midpoints.
Uses greedy clustering: each line is assigned to the first compatible
cluster. The cluster representative is recomputed as the mean of its
members (direction via PCA, endpoints via extremal projections).
"""
if len(lines) <= 1:
return lines
clusters: list[list[int]] = []
reps: list[Line3D] = []
for i, line in enumerate(lines):
matched = False
for ci, rep in enumerate(reps):
cos = abs(float(np.dot(line.direction, rep.direction)))
if cos < direction_cos:
continue
mid_d = float(np.linalg.norm(
(line.p1 + line.p2) / 2 - (rep.p1 + rep.p2) / 2
))
if mid_d > midpoint_dist:
continue
clusters[ci].append(i)
# Recompute representative
members = [lines[j] for j in clusters[ci]]
all_pts = np.vstack([np.vstack([m.p1, m.p2]) for m in members])
centroid = all_pts.mean(axis=0)
_, _, Vt = np.linalg.svd(all_pts - centroid)
direction = Vt[0]
if np.dot(direction, rep.direction) < 0:
direction = -direction
s = (all_pts - centroid) @ direction
new_p1 = centroid + float(s.min()) * direction
new_p2 = centroid + float(s.max()) * direction
reps[ci] = Line3D(
point=centroid, direction=direction,
p1=new_p1, p2=new_p2,
length=float(np.linalg.norm(new_p2 - new_p1)),
n_inliers=sum(m.n_inliers for m in members),
edge_class=members[0].edge_class,
view_id='merged',
)
matched = True
break
if not matched:
clusters.append([i])
reps.append(Line3D(
point=line.point.copy(), direction=line.direction.copy(),
p1=line.p1.copy(), p2=line.p2.copy(),
length=line.length, n_inliers=line.n_inliers,
edge_class=line.edge_class, view_id=line.view_id,
))
return reps
# ---------------------------------------------------------------------------
# Step 4: Intersect pairs of 3D lines β vertex candidates
# ---------------------------------------------------------------------------
def closest_point_on_two_lines(
p1: np.ndarray, d1: np.ndarray,
p2: np.ndarray, d2: np.ndarray,
) -> tuple[np.ndarray, float] | None:
"""Find the closest point between two 3D lines.
Returns (midpoint_of_closest_approach, distance_between_lines) or None
if the lines are nearly parallel.
"""
w0 = p1 - p2
a = float(np.dot(d1, d1))
b = float(np.dot(d1, d2))
c = float(np.dot(d2, d2))
d = float(np.dot(d1, w0))
e = float(np.dot(d2, w0))
denom = a * c - b * b
if abs(denom) < 1e-8:
return None # parallel
sc = (b * e - c * d) / denom
tc = (a * e - b * d) / denom
closest_on_1 = p1 + sc * d1
closest_on_2 = p2 + tc * d2
midpoint = (closest_on_1 + closest_on_2) / 2.0
dist = float(np.linalg.norm(closest_on_1 - closest_on_2))
return midpoint, dist
def intersect_lines_to_vertices(
lines: list[Line3D],
max_dist: float = 0.5,
parallel_cos: float = 0.95,
segment_margin: float = 0.5,
) -> np.ndarray:
"""Generate vertex candidates from 3D line intersections.
For each pair of non-parallel lines:
- compute the closest approach point;
- accept if the distance between the lines at that point is β€ max_dist;
- accept only if the closest point is within ``segment_margin`` of
both line segments (not too far outside the actual edge extent).
"""
if len(lines) < 2:
return np.empty((0, 3), dtype=np.float64)
vertices: list[np.ndarray] = []
for i in range(len(lines)):
for j in range(i + 1, len(lines)):
cos = abs(float(np.dot(lines[i].direction, lines[j].direction)))
if cos >= parallel_cos:
continue
result = closest_point_on_two_lines(
lines[i].point, lines[i].direction,
lines[j].point, lines[j].direction,
)
if result is None:
continue
midpoint, dist = result
if dist > max_dist:
continue
# Check that the intersection is near both line segments
ok = True
for line in (lines[i], lines[j]):
s = float(np.dot(midpoint - line.point, line.direction))
s_min = float(np.dot(line.p1 - line.point, line.direction))
s_max = float(np.dot(line.p2 - line.point, line.direction))
if s < s_min - segment_margin or s > s_max + segment_margin:
ok = False
break
if ok:
vertices.append(midpoint)
if not vertices:
return np.empty((0, 3), dtype=np.float64)
return np.array(vertices, dtype=np.float64)
# ---------------------------------------------------------------------------
# Step 5: Integration helper
# ---------------------------------------------------------------------------
def snap_vertices_to_lines(
vertices: np.ndarray,
lines: list[Line3D],
snap_radius: float = 0.4,
min_line_inliers: int = 10,
segment_margin: float = 0.3,
require_agree: int = 1,
) -> tuple[np.ndarray, np.ndarray]:
"""Snap each vertex to the nearest 3D line if the line is trustworthy
and the vertex sits within ``snap_radius`` perpendicular distance.
The snap is a perpendicular projection of the vertex onto the line. If
the projected point falls outside the segment ``[p1, p2]`` by more than
``segment_margin``, we clamp it to the nearest endpoint (so we never
slide a vertex off the ends of the real edge).
A line is considered "trustworthy" if it has β₯ ``min_line_inliers``
depth samples (the more, the better the depth-noise averaging).
When ``require_agree`` β₯ 2 we only snap if the vertex is within
``snap_radius`` of **multiple** independent lines and they all agree
on roughly the same 3D location β this is a "consensus" mode that
avoids snapping to a single noisy line.
Returns
-------
refined : (N, 3) float64 β refined vertex positions
snapped : (N,) bool β which vertices were moved
"""
verts = np.asarray(vertices, dtype=np.float64)
refined = verts.copy()
snapped = np.zeros(len(verts), dtype=bool)
if len(verts) == 0 or not lines:
return refined, snapped
# Pre-filter trustworthy lines
trusted = [ln for ln in lines if ln.n_inliers >= min_line_inliers]
if not trusted:
return refined, snapped
for i, v in enumerate(verts):
# Compute perpendicular distance and projected point for each line
candidates: list[tuple[float, np.ndarray, Line3D]] = []
for ln in trusted:
rel = v - ln.point
s = float(np.dot(rel, ln.direction))
projected = ln.point + s * ln.direction
perp = float(np.linalg.norm(v - projected))
if perp > snap_radius:
continue
# Clamp projection to segment
s_min = float(np.dot(ln.p1 - ln.point, ln.direction))
s_max = float(np.dot(ln.p2 - ln.point, ln.direction))
if s_min > s_max:
s_min, s_max = s_max, s_min
if s < s_min - segment_margin:
projected = ln.point + (s_min - segment_margin) * ln.direction
elif s > s_max + segment_margin:
projected = ln.point + (s_max + segment_margin) * ln.direction
candidates.append((perp, projected, ln))
if len(candidates) < require_agree:
continue
if require_agree >= 2:
# Consensus: keep only if β₯2 candidates agree within snap_radius.
candidates.sort(key=lambda c: c[0])
best_proj = candidates[0][1]
agree = 0
for _, cp, _ in candidates:
if np.linalg.norm(cp - best_proj) <= snap_radius:
agree += 1
if agree < require_agree:
continue
# Snap to the mean of agreeing projections
agreeing = [c[1] for c in candidates
if np.linalg.norm(c[1] - best_proj) <= snap_radius]
refined[i] = np.mean(agreeing, axis=0)
snapped[i] = True
else:
# Single-line snap: pick the closest
candidates.sort(key=lambda c: c[0])
refined[i] = candidates[0][1]
snapped[i] = True
return refined, snapped
def line_based_vertices(
entry,
max_intersection_dist: float = 0.5,
merge_radius: float = 0.4,
) -> np.ndarray:
"""High-level: extract 3D lines, merge, intersect β vertex candidates.
Returns (K, 3) array of deduplicated vertex positions.
"""
lines, good = extract_3d_lines(entry)
if not lines:
return np.empty((0, 3), dtype=np.float64)
merged_lines = merge_3d_lines(lines)
if len(merged_lines) < 2:
return np.empty((0, 3), dtype=np.float64)
raw_verts = intersect_lines_to_vertices(
merged_lines, max_dist=max_intersection_dist,
)
if len(raw_verts) == 0:
return np.empty((0, 3), dtype=np.float64)
# Simple NMS merge
from scipy.spatial import cKDTree
tree = cKDTree(raw_verts)
clusters = tree.query_ball_point(raw_verts, merge_radius)
used = set()
out = []
for i, cl in enumerate(clusters):
if i in used:
continue
members = [j for j in cl if j not in used]
if not members:
continue
out.append(raw_verts[members].mean(axis=0))
used.update(members)
return np.array(out, dtype=np.float64) if out else np.empty((0, 3), dtype=np.float64)
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