#!/usr/bin/env python3 import argparse import json import sys import time from pathlib import Path import numpy as np from scipy.spatial import cKDTree sys.path.append(str(Path(__file__).resolve().parent)) import eval_tnt_wrapper as W def query_tree(tree, points, k=1, batch_size=50000): ds, inds = [], [] for s in range(0, len(points), batch_size): e = min(s + batch_size, len(points)) try: d, i = tree.query(points[s:e], k=k, workers=-1) except TypeError: d, i = tree.query(points[s:e], k=k) ds.append(d) inds.append(i) return np.concatenate(ds, axis=0), np.concatenate(inds, axis=0) def pca_normals_from_neighbors(points, neighbor_indices, batch_size=50000): """ points: [N, 3] neighbor_indices: [M, K] return normals: [M, 3] """ if neighbor_indices.ndim != 2: raise ValueError("neighbor_indices must be [M, K]") M = neighbor_indices.shape[0] K = neighbor_indices.shape[1] normals = np.empty((M, 3), dtype=np.float32) for s in range(0, M, batch_size): e = min(s + batch_size, M) neigh = points[neighbor_indices[s:e]] # [B, K, 3] centered = neigh - neigh.mean(axis=1, keepdims=True) cov = np.einsum("bki,bkj->bij", centered, centered) / max(K - 1, 1) vals, vecs = np.linalg.eigh(cov) n = vecs[:, :, 0] n = n / (np.linalg.norm(n, axis=1, keepdims=True) + 1e-12) normals[s:e] = n.astype(np.float32) return normals def gaussian_v3_normals_from_vertex(v, names, indices, transform_mat): required = ["scale_0", "scale_1", "scale_2", "rot_0", "rot_1", "rot_2", "rot_3"] missing = [k for k in required if k not in names] if missing: raise ValueError(f"reconstruction PLY missing Gaussian fields: {missing}") idx = indices scales = np.stack( [v["scale_0"][idx], v["scale_1"][idx], v["scale_2"][idx]], axis=1, ).astype(np.float64) min_axis = np.argmin(scales, axis=1) q = np.stack( [v["rot_0"][idx], v["rot_1"][idx], v["rot_2"][idx], v["rot_3"][idx]], axis=1, ).astype(np.float64) q = q / (np.linalg.norm(q, axis=1, keepdims=True) + 1e-12) # 3DGS convention: quaternion [w, x, y, z] w, x, y, z = q[:, 0], q[:, 1], q[:, 2], q[:, 3] r00 = 1 - 2 * (y * y + z * z) r01 = 2 * (x * y - w * z) r02 = 2 * (x * z + w * y) r10 = 2 * (x * y + w * z) r11 = 1 - 2 * (x * x + z * z) r12 = 2 * (y * z - w * x) r20 = 2 * (x * z - w * y) r21 = 2 * (y * z + w * x) r22 = 1 - 2 * (x * x + y * y) normals = np.empty((len(idx), 3), dtype=np.float64) m0 = min_axis == 0 normals[m0, 0] = r00[m0] normals[m0, 1] = r10[m0] normals[m0, 2] = r20[m0] m1 = min_axis == 1 normals[m1, 0] = r01[m1] normals[m1, 1] = r11[m1] normals[m1, 2] = r21[m1] m2 = min_axis == 2 normals[m2, 0] = r02[m2] normals[m2, 1] = r12[m2] normals[m2, 2] = r22[m2] # Apply linear part of T&T transform to direction. A = transform_mat[:3, :3].astype(np.float64) normals = normals @ A.T normals = normals / (np.linalg.norm(normals, axis=1, keepdims=True) + 1e-12) scale_min = np.min(scales, axis=1) scale_max = np.max(scales, axis=1) anisotropy = np.exp(scale_max - scale_min) return normals.astype(np.float32), anisotropy.astype(np.float32) def angular_errors(pred_normals, ref_normals): dots = np.sum(pred_normals * ref_normals, axis=1) dots = np.clip(np.abs(dots), 0.0, 1.0) return np.degrees(np.arccos(dots)) def stats(prefix, angles): return { f"{prefix}_mean_deg": float(np.mean(angles)), f"{prefix}_median_deg": float(np.median(angles)), f"{prefix}_q10_deg": float(np.quantile(angles, 0.10)), f"{prefix}_q25_deg": float(np.quantile(angles, 0.25)), f"{prefix}_q75_deg": float(np.quantile(angles, 0.75)), f"{prefix}_q90_deg": float(np.quantile(angles, 0.90)), f"{prefix}_iqr_deg": float(np.quantile(angles, 0.75) - np.quantile(angles, 0.25)), } def sigmoid(x): return 1.0 / (1.0 + np.exp(-x)) def main(): ap = argparse.ArgumentParser() ap.add_argument("--method", default="gof") ap.add_argument("--scene", required=True, choices=sorted(W.SCENE_MAP.keys())) ap.add_argument("--project-root", default="/root/autodl-tmp/SplatAtlas") ap.add_argument("--outputs-root", default=None) ap.add_argument("--tnt-eval-root", default=None) ap.add_argument("--iteration", type=int, default=None) ap.add_argument("--mode", choices=["all", "subsample"], default="subsample") ap.add_argument("--n-sample", type=int, default=200000) ap.add_argument("--seed", type=int, default=0) ap.add_argument("--distance-multiplier", type=float, default=2.0) ap.add_argument("--gt-normal-k", type=int, default=30) ap.add_argument("--recon-pca-k", type=int, default=30) ap.add_argument("--max-normal-points", type=int, default=50000) ap.add_argument("--batch-size", type=int, default=50000) ap.add_argument("--verbose", action="store_true") args = ap.parse_args() t0 = time.time() project_root = Path(args.project_root) outputs_root = Path(args.outputs_root) if args.outputs_root else project_root / "outputs" tnt_eval_root = Path(args.tnt_eval_root) if args.tnt_eval_root else project_root / "data" / "tnt_eval" scene = args.scene.lower() official_scene = W.SCENE_MAP[scene] tau = W.TAU_DICT[scene] near_threshold = args.distance_multiplier * tau ply_path = W.locate_recon_ply(outputs_root, args.method, scene, args.iteration) scene_eval_dir = tnt_eval_root / official_scene gt_ply_path = scene_eval_dir / f"{official_scene}.ply" crop_path = scene_eval_dir / f"{official_scene}.json" trans_path = scene_eval_dir / f"{official_scene}_trans.txt" trans = W.read_transform(trans_path) crop = W.load_crop(crop_path) if args.verbose: print("=" * 80) print("V3 normal vs Gaussian-position PCA normal") print("method:", args.method) print("scene:", scene, "->", official_scene) print("tau:", tau) print("surface-near threshold:", near_threshold) print("recon:", ply_path) print("gt:", gt_ply_path) # Load reconstruction. recon_raw, recon_vertex, recon_names = W.load_vertex_data(ply_path) recon_aligned = W.apply_transform(recon_raw, trans) recon_crop_mask = W.crop_mask_tnt(recon_aligned, crop) recon_crop = recon_aligned[recon_crop_mask] recon_crop_raw_idx = np.where(recon_crop_mask)[0].astype(np.int64) if len(recon_crop) == 0: raise RuntimeError("Reconstruction crop is empty.") # Choose evaluated reconstruction centers. eval_idx_in_crop = W.choose_eval_indices( len(recon_crop), mode=args.mode, n_sample=args.n_sample, seed=args.seed, ) recon_eval = recon_crop[eval_idx_in_crop] recon_eval_raw_idx = recon_crop_raw_idx[eval_idx_in_crop] # Load GT. gt_raw, _, _ = W.load_vertex_data(gt_ply_path) gt_crop_mask = W.crop_mask_tnt(gt_raw, crop) gt_crop = gt_raw[gt_crop_mask] if len(gt_crop) == 0: raise RuntimeError("GT crop is empty.") # Nearest GT for surface-near filter. gt_tree = cKDTree(gt_crop) d_r2g, nn_gt_idx = query_tree( gt_tree, recon_eval, k=1, batch_size=args.batch_size, ) surface_mask = d_r2g < near_threshold surface_eval_idx = np.where(surface_mask)[0].astype(np.int64) if len(surface_eval_idx) == 0: raise RuntimeError("No surface-near Gaussians. Increase --distance-multiplier.") rng = np.random.default_rng(args.seed) if len(surface_eval_idx) > args.max_normal_points: chosen_eval_idx = np.sort( rng.choice(surface_eval_idx, size=args.max_normal_points, replace=False) ).astype(np.int64) else: chosen_eval_idx = surface_eval_idx chosen_points = recon_eval[chosen_eval_idx] chosen_raw_idx = recon_eval_raw_idx[chosen_eval_idx] chosen_nearest_gt_points = gt_crop[nn_gt_idx[chosen_eval_idx]] if args.verbose: print("n_gaussians_recon:", len(recon_raw)) print("n_recon_after_crop:", len(recon_crop)) print("n_recon_eval:", len(recon_eval)) print("n_gt_after_crop:", len(gt_crop)) print("n_surface_near:", len(surface_eval_idx), "/", len(recon_eval)) print("n_normal_eval:", len(chosen_eval_idx)) print("distance median:", float(np.median(d_r2g))) print("distance q10:", float(np.quantile(d_r2g, 0.10))) print("distance q90:", float(np.quantile(d_r2g, 0.90))) # Reference: GT local PCA normals at nearest GT points. if args.verbose: print("[GT PCA normals] k =", args.gt_normal_k) _, gt_neighbor_idx = query_tree( gt_tree, chosen_nearest_gt_points, k=args.gt_normal_k, batch_size=args.batch_size, ) gt_pca_normals = pca_normals_from_neighbors( gt_crop, gt_neighbor_idx, batch_size=args.batch_size, ) # Method 1: V3 / Gaussian minor-axis normal. if args.verbose: print("[V3 normals] from Gaussian scale + rotation") v3_normals, anisotropy = gaussian_v3_normals_from_vertex( recon_vertex, recon_names, chosen_raw_idx, trans, ) v3_angles = angular_errors(v3_normals, gt_pca_normals) # Method 2: Gaussian-position local PCA normal. if args.verbose: print("[Gaussian-position PCA normals] k =", args.recon_pca_k) recon_tree = cKDTree(recon_crop) _, recon_neighbor_idx = query_tree( recon_tree, chosen_points, k=args.recon_pca_k, batch_size=args.batch_size, ) recon_pca_normals = pca_normals_from_neighbors( recon_crop, recon_neighbor_idx, batch_size=args.batch_size, ) recon_pca_angles = angular_errors(recon_pca_normals, gt_pca_normals) result = { "method": args.method, "scene": scene, "official_scene": official_scene, "eval_protocol": "gof_v3_minor_axis_vs_gaussian_position_pca_normal", "is_official_tnt_metric": False, "ply_path": str(ply_path), "gt_ply_path": str(gt_ply_path), "crop_path": str(crop_path), "trans_path": str(trans_path), "tau": float(tau), "surface_near_threshold": float(near_threshold), "surface_near_rule": f"d_recon_to_gt < {args.distance_multiplier} * tau", "mode": args.mode, "n_sample_requested": int(args.n_sample), "seed": int(args.seed), "gt_normal_k": int(args.gt_normal_k), "recon_pca_k": int(args.recon_pca_k), "max_normal_points": int(args.max_normal_points), "n_gaussians_recon": int(len(recon_raw)), "n_recon_after_crop": int(len(recon_crop)), "n_recon_eval": int(len(recon_eval)), "n_gt_after_crop": int(len(gt_crop)), "n_surface_near": int(len(surface_eval_idx)), "surface_near_ratio": float(len(surface_eval_idx) / max(len(recon_eval), 1)), "n_normal_eval": int(len(chosen_eval_idx)), "distance_recon_to_gt_mean": float(np.mean(d_r2g)), "distance_recon_to_gt_median": float(np.median(d_r2g)), "distance_recon_to_gt_q10": float(np.quantile(d_r2g, 0.10)), "distance_recon_to_gt_q90": float(np.quantile(d_r2g, 0.90)), **stats("v3_normal_error", v3_angles), **stats("pca_normal_error", recon_pca_angles), "median_delta_v3_minus_pca_deg": float(np.median(v3_angles) - np.median(recon_pca_angles)), "mean_delta_v3_minus_pca_deg": float(np.mean(v3_angles) - np.mean(recon_pca_angles)), "pca_better_than_v3_by_median": bool(np.median(recon_pca_angles) < np.median(v3_angles)), "pca_within_3deg_of_v3_median": bool(np.median(recon_pca_angles) <= np.median(v3_angles) + 3.0), "pca_within_5deg_of_v3_median": bool(np.median(recon_pca_angles) <= np.median(v3_angles) + 5.0), "gaussian_anisotropy_exp_scale_range_median": float(np.median(anisotropy)), "gaussian_anisotropy_exp_scale_range_q25": float(np.quantile(anisotropy, 0.25)), "gaussian_anisotropy_exp_scale_range_q75": float(np.quantile(anisotropy, 0.75)), "wall_time_seconds": float(time.time() - t0), } if "opacity" in recon_names: opacity_raw = recon_vertex["opacity"][chosen_raw_idx].astype(np.float64) opacity_sigmoid = sigmoid(opacity_raw) result.update({ "opacity_sigmoid_median": float(np.median(opacity_sigmoid)), "opacity_sigmoid_q25": float(np.quantile(opacity_sigmoid, 0.25)), "opacity_sigmoid_q75": float(np.quantile(opacity_sigmoid, 0.75)), }) out_dir = outputs_root / "tnt_eval_normals_v3_vs_pca" / f"{args.method}_{scene}" out_dir.mkdir(parents=True, exist_ok=True) out_path = out_dir / "v3_vs_pca_normal_eval.json" with open(out_path, "w") as f: json.dump(result, f, indent=2, sort_keys=True) print(json.dumps(result, indent=2, sort_keys=True)) print(f"\n[WROTE] {out_path}") if __name__ == "__main__": main()