Upload try_merge.py
Browse files- try_merge.py +826 -0
try_merge.py
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@@ -0,0 +1,826 @@
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|
| 1 |
+
import numpy as np
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| 2 |
+
import torch
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| 3 |
+
from sklearn.cluster import AgglomerativeClustering
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| 4 |
+
from plyfile import PlyData, PlyElement
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| 5 |
+
import os
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| 6 |
+
from pathlib import Path
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| 7 |
+
|
| 8 |
+
# 评估指标库
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| 9 |
+
from skimage.metrics import structural_similarity as ssim
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| 10 |
+
from skimage.metrics import peak_signal_noise_ratio as psnr
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| 11 |
+
import lpips
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| 12 |
+
import cv2
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| 13 |
+
|
| 14 |
+
class GaussianMerger:
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| 15 |
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"""
|
| 16 |
+
3DGS聚类Merge实现
|
| 17 |
+
核心思路:
|
| 18 |
+
1. 空间划分为带padding的cells
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| 19 |
+
2. 在每个cell内使用AgglomerativeClustering聚类
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| 20 |
+
3. 使用矩匹配合并高斯参数
|
| 21 |
+
4. 只保留中心在no-padding区域的簇
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| 22 |
+
"""
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| 23 |
+
def __init__(self, cell_size, padding_ratio=0.1, target_points_per_cluster=3):
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| 24 |
+
"""
|
| 25 |
+
Args:
|
| 26 |
+
cell_size: float, cell边长
|
| 27 |
+
padding_ratio: float, padding占边长的比例
|
| 28 |
+
target_points_per_cluster: int, 目标每簇点数(2-4)
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| 29 |
+
"""
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| 30 |
+
self.cell_size = cell_size
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| 31 |
+
self.padding_ratio = padding_ratio
|
| 32 |
+
self.padding_size = cell_size * padding_ratio
|
| 33 |
+
self.target_points_per_cluster = target_points_per_cluster
|
| 34 |
+
|
| 35 |
+
# 聚类特征权重
|
| 36 |
+
# 归一化位置(3维) + 不透明度(1维) + SH(48维,RGB三阶)
|
| 37 |
+
self.feature_weights = {
|
| 38 |
+
'position': 1.0, # 空间位置权重
|
| 39 |
+
'opacity': 1.0, # 不透明度权重
|
| 40 |
+
'sh': 0.2, # SH系数权重(颜色特征)
|
| 41 |
+
}
|
| 42 |
+
|
| 43 |
+
def load_ply(self, ply_path):
|
| 44 |
+
"""
|
| 45 |
+
加载3DGS的.ply文件
|
| 46 |
+
|
| 47 |
+
3DGS数据格式:
|
| 48 |
+
- xyz: 3个坐标
|
| 49 |
+
- opacity: 1个不透明度
|
| 50 |
+
- f_dc_0/1/2: DC分量(3维)
|
| 51 |
+
- f_rest_0~44: SH系数(45维,对应RGB各15个三阶SH系数)
|
| 52 |
+
- scale_0/1/2: 3个尺度
|
| 53 |
+
- rot_0/1/2/3: 四元数旋转(4维)
|
| 54 |
+
|
| 55 |
+
Returns:
|
| 56 |
+
dict: {
|
| 57 |
+
'xyz': (N,3),
|
| 58 |
+
'opacity': (N,1),
|
| 59 |
+
'dc': (N,3), DC颜色分量
|
| 60 |
+
'sh': (N,45), SH系数
|
| 61 |
+
'scale': (N,3),
|
| 62 |
+
'rotation': (N,4) 四元数 [w,x,y,z]
|
| 63 |
+
}
|
| 64 |
+
"""
|
| 65 |
+
print(f"Loading 3DGS from {ply_path}...")
|
| 66 |
+
plydata = PlyData.read(ply_path)
|
| 67 |
+
vertices = plydata['vertex']
|
| 68 |
+
|
| 69 |
+
# 提取xyz坐标
|
| 70 |
+
xyz = np.stack([vertices['x'], vertices['y'], vertices['z']], axis=1)
|
| 71 |
+
|
| 72 |
+
# 提取不透明度
|
| 73 |
+
opacity = vertices['opacity'][:, np.newaxis]
|
| 74 |
+
|
| 75 |
+
# 提取DC分量
|
| 76 |
+
dc = np.stack([vertices['f_dc_0'], vertices['f_dc_1'], vertices['f_dc_2']], axis=1)
|
| 77 |
+
|
| 78 |
+
# 提取SH系数 (RGB三阶共45维)
|
| 79 |
+
sh_features = []
|
| 80 |
+
for i in range(45):
|
| 81 |
+
sh_features.append(vertices[f'f_rest_{i}'])
|
| 82 |
+
sh = np.stack(sh_features, axis=1)
|
| 83 |
+
|
| 84 |
+
# 提取scale
|
| 85 |
+
scale = np.stack([vertices['scale_0'], vertices['scale_1'], vertices['scale_2']], axis=1)
|
| 86 |
+
|
| 87 |
+
# 提取rotation (四元数)
|
| 88 |
+
rotation = np.stack([vertices['rot_0'], vertices['rot_1'],
|
| 89 |
+
vertices['rot_2'], vertices['rot_3']], axis=1)
|
| 90 |
+
|
| 91 |
+
print(f"Loaded {len(xyz)} Gaussians")
|
| 92 |
+
print(f"Scene bounds: {xyz.min(axis=0)} to {xyz.max(axis=0)}")
|
| 93 |
+
|
| 94 |
+
return {
|
| 95 |
+
'xyz': xyz,
|
| 96 |
+
'opacity': opacity,
|
| 97 |
+
'dc': dc,
|
| 98 |
+
'sh': sh,
|
| 99 |
+
'scale': scale,
|
| 100 |
+
'rotation': rotation
|
| 101 |
+
}
|
| 102 |
+
|
| 103 |
+
def save_ply(self, gaussians, output_path):
|
| 104 |
+
"""
|
| 105 |
+
保存merge后的高斯到.ply文件
|
| 106 |
+
|
| 107 |
+
Args:
|
| 108 |
+
gaussians: dict, merge后的高斯参数
|
| 109 |
+
output_path: str, 输出路径
|
| 110 |
+
"""
|
| 111 |
+
print(f"Saving merged 3DGS to {output_path}...")
|
| 112 |
+
|
| 113 |
+
xyz = gaussians['xyz']
|
| 114 |
+
opacity = gaussians['opacity'].flatten()
|
| 115 |
+
dc = gaussians['dc']
|
| 116 |
+
sh = gaussians['sh']
|
| 117 |
+
scale = gaussians['scale']
|
| 118 |
+
rotation = gaussians['rotation']
|
| 119 |
+
|
| 120 |
+
n_points = len(xyz)
|
| 121 |
+
|
| 122 |
+
# 构建dtype
|
| 123 |
+
dtype_list = [
|
| 124 |
+
('x', 'f4'), ('y', 'f4'), ('z', 'f4'),
|
| 125 |
+
('opacity', 'f4'),
|
| 126 |
+
('f_dc_0', 'f4'), ('f_dc_1', 'f4'), ('f_dc_2', 'f4'),
|
| 127 |
+
]
|
| 128 |
+
|
| 129 |
+
# 添加SH系数
|
| 130 |
+
for i in range(45):
|
| 131 |
+
dtype_list.append((f'f_rest_{i}', 'f4'))
|
| 132 |
+
|
| 133 |
+
# 添加scale和rotation
|
| 134 |
+
dtype_list.extend([
|
| 135 |
+
('scale_0', 'f4'), ('scale_1', 'f4'), ('scale_2', 'f4'),
|
| 136 |
+
('rot_0', 'f4'), ('rot_1', 'f4'), ('rot_2', 'f4'), ('rot_3', 'f4')
|
| 137 |
+
])
|
| 138 |
+
|
| 139 |
+
# 创建结构化数组
|
| 140 |
+
elements = np.empty(n_points, dtype=dtype_list)
|
| 141 |
+
|
| 142 |
+
# 填充数据
|
| 143 |
+
elements['x'] = xyz[:, 0]
|
| 144 |
+
elements['y'] = xyz[:, 1]
|
| 145 |
+
elements['z'] = xyz[:, 2]
|
| 146 |
+
elements['opacity'] = opacity
|
| 147 |
+
elements['f_dc_0'] = dc[:, 0]
|
| 148 |
+
elements['f_dc_1'] = dc[:, 1]
|
| 149 |
+
elements['f_dc_2'] = dc[:, 2]
|
| 150 |
+
|
| 151 |
+
for i in range(45):
|
| 152 |
+
elements[f'f_rest_{i}'] = sh[:, i]
|
| 153 |
+
|
| 154 |
+
elements['scale_0'] = scale[:, 0]
|
| 155 |
+
elements['scale_1'] = scale[:, 1]
|
| 156 |
+
elements['scale_2'] = scale[:, 2]
|
| 157 |
+
elements['rot_0'] = rotation[:, 0]
|
| 158 |
+
elements['rot_1'] = rotation[:, 1]
|
| 159 |
+
elements['rot_2'] = rotation[:, 2]
|
| 160 |
+
elements['rot_3'] = rotation[:, 3]
|
| 161 |
+
|
| 162 |
+
# 创建PlyElement
|
| 163 |
+
el = PlyElement.describe(elements, 'vertex')
|
| 164 |
+
|
| 165 |
+
# 写入文件
|
| 166 |
+
PlyData([el]).write(output_path)
|
| 167 |
+
print(f"Saved {n_points} merged Gaussians")
|
| 168 |
+
|
| 169 |
+
def partition_space(self, xyz):
|
| 170 |
+
"""
|
| 171 |
+
空间划分: 将场景划分为cell网格
|
| 172 |
+
|
| 173 |
+
策略:
|
| 174 |
+
- 每个cell有padding区域用于聚类
|
| 175 |
+
- 但只保留中心在no-padding区域的簇
|
| 176 |
+
|
| 177 |
+
Args:
|
| 178 |
+
xyz: (N, 3) 点的位置
|
| 179 |
+
Returns:
|
| 180 |
+
cell_dict: {cell_id: [point_indices]} cell内的点索引(含padding)
|
| 181 |
+
cell_info: {cell_id: {'center', 'bounds_no_padding', 'bounds_with_padding'}}
|
| 182 |
+
"""
|
| 183 |
+
print("Partitioning space into cells...")
|
| 184 |
+
|
| 185 |
+
# 计算场景边界(稍微扩大一点避免边界问题)
|
| 186 |
+
min_bound = xyz.min(axis=0) - self.padding_size
|
| 187 |
+
max_bound = xyz.max(axis=0) + self.padding_size
|
| 188 |
+
|
| 189 |
+
# 计算每个点所属的cell(基于no-padding边界)
|
| 190 |
+
cell_indices = np.floor((xyz - min_bound) / self.cell_size).astype(int)
|
| 191 |
+
|
| 192 |
+
# 获取所有唯一的cell
|
| 193 |
+
unique_cells = np.unique(cell_indices, axis=0)
|
| 194 |
+
|
| 195 |
+
cell_dict = {}
|
| 196 |
+
cell_info = {}
|
| 197 |
+
|
| 198 |
+
for cell_idx in unique_cells:
|
| 199 |
+
cell_id = tuple(cell_idx)
|
| 200 |
+
|
| 201 |
+
# Cell的no-padding边界
|
| 202 |
+
cell_min = min_bound + cell_idx * self.cell_size
|
| 203 |
+
cell_max = cell_min + self.cell_size
|
| 204 |
+
|
| 205 |
+
# Cell的with-padding边界
|
| 206 |
+
cell_min_padded = cell_min - self.padding_size
|
| 207 |
+
cell_max_padded = cell_max + self.padding_size
|
| 208 |
+
|
| 209 |
+
# 找到所有在padding范围内的点
|
| 210 |
+
mask = np.all((xyz >= cell_min_padded) & (xyz < cell_max_padded), axis=1)
|
| 211 |
+
point_indices = np.where(mask)[0]
|
| 212 |
+
|
| 213 |
+
if len(point_indices) > 0:
|
| 214 |
+
cell_dict[cell_id] = point_indices
|
| 215 |
+
cell_info[cell_id] = {
|
| 216 |
+
'center': (cell_min + cell_max) / 2,
|
| 217 |
+
'bounds_no_padding': (cell_min, cell_max),
|
| 218 |
+
'bounds_with_padding': (cell_min_padded, cell_max_padded)
|
| 219 |
+
}
|
| 220 |
+
|
| 221 |
+
print(f"Created {len(cell_dict)} cells")
|
| 222 |
+
points_per_cell = [len(indices) for indices in cell_dict.values()]
|
| 223 |
+
print(f"Points per cell: min={min(points_per_cell)}, max={max(points_per_cell)}, avg={np.mean(points_per_cell):.1f}")
|
| 224 |
+
|
| 225 |
+
return cell_dict, cell_info
|
| 226 |
+
|
| 227 |
+
def compute_features_for_clustering(self, gaussians, point_indices, cell_bounds):
|
| 228 |
+
"""
|
| 229 |
+
计算聚类特征: 归一化位置(3) + 不透明度(1) + SH系数(48)
|
| 230 |
+
|
| 231 |
+
注意:
|
| 232 |
+
- 位置需要在padding后的cell内归一化
|
| 233 |
+
- SH系数包含DC(3维)和高阶(45维),共48维
|
| 234 |
+
- 不同特征使用不同权重
|
| 235 |
+
|
| 236 |
+
Args:
|
| 237 |
+
gaussians: 完整的高斯数据
|
| 238 |
+
point_indices: 当前cell内的点索引
|
| 239 |
+
cell_bounds: (min_xyz, max_xyz) with padding
|
| 240 |
+
Returns:
|
| 241 |
+
features: (N, 52) 归一化后的特征向量
|
| 242 |
+
"""
|
| 243 |
+
xyz = gaussians['xyz'][point_indices]
|
| 244 |
+
opacity = gaussians['opacity'][point_indices]
|
| 245 |
+
dc = gaussians['dc'][point_indices]
|
| 246 |
+
sh = gaussians['sh'][point_indices]
|
| 247 |
+
|
| 248 |
+
cell_min, cell_max = cell_bounds
|
| 249 |
+
cell_size_padded = cell_max - cell_min
|
| 250 |
+
|
| 251 |
+
# 归一化位置: (xyz - cell_min) / padded_cell_size
|
| 252 |
+
normalized_pos = (xyz - cell_min) / cell_size_padded
|
| 253 |
+
|
| 254 |
+
# 组合SH特征: DC + 高阶SH
|
| 255 |
+
sh_features = np.concatenate([dc, sh], axis=1) # (N, 48)
|
| 256 |
+
|
| 257 |
+
# 组合所有特征并加权
|
| 258 |
+
features = np.concatenate([
|
| 259 |
+
normalized_pos * self.feature_weights['position'], # (N, 3)
|
| 260 |
+
opacity * self.feature_weights['opacity'], # (N, 1)
|
| 261 |
+
sh_features * self.feature_weights['sh'] # (N, 48)
|
| 262 |
+
], axis=1)
|
| 263 |
+
|
| 264 |
+
return features
|
| 265 |
+
|
| 266 |
+
def quaternion_to_rotation_matrix(self, q):
|
| 267 |
+
"""
|
| 268 |
+
四元数转旋转矩阵
|
| 269 |
+
|
| 270 |
+
Args:
|
| 271 |
+
q: (4,) [w, x, y, z] 或 (N, 4)
|
| 272 |
+
Returns:
|
| 273 |
+
R: (3, 3) 或 (N, 3, 3)
|
| 274 |
+
"""
|
| 275 |
+
if q.ndim == 1:
|
| 276 |
+
w, x, y, z = q
|
| 277 |
+
R = np.array([
|
| 278 |
+
[1-2*(y**2+z**2), 2*(x*y-w*z), 2*(x*z+w*y)],
|
| 279 |
+
[2*(x*y+w*z), 1-2*(x**2+z**2), 2*(y*z-w*x)],
|
| 280 |
+
[2*(x*z-w*y), 2*(y*z+w*x), 1-2*(x**2+y**2)]
|
| 281 |
+
])
|
| 282 |
+
return R
|
| 283 |
+
else:
|
| 284 |
+
# 批量处理
|
| 285 |
+
w, x, y, z = q[:, 0], q[:, 1], q[:, 2], q[:, 3]
|
| 286 |
+
R = np.zeros((len(q), 3, 3))
|
| 287 |
+
R[:, 0, 0] = 1 - 2*(y**2 + z**2)
|
| 288 |
+
R[:, 0, 1] = 2*(x*y - w*z)
|
| 289 |
+
R[:, 0, 2] = 2*(x*z + w*y)
|
| 290 |
+
R[:, 1, 0] = 2*(x*y + w*z)
|
| 291 |
+
R[:, 1, 1] = 1 - 2*(x**2 + z**2)
|
| 292 |
+
R[:, 1, 2] = 2*(y*z - w*x)
|
| 293 |
+
R[:, 2, 0] = 2*(x*z - w*y)
|
| 294 |
+
R[:, 2, 1] = 2*(y*z + w*x)
|
| 295 |
+
R[:, 2, 2] = 1 - 2*(x**2 + y**2)
|
| 296 |
+
return R
|
| 297 |
+
|
| 298 |
+
def compute_covariance(self, scale, rotation):
|
| 299 |
+
"""
|
| 300 |
+
计算协方差矩阵: Σ = R·S·S^T·R^T
|
| 301 |
+
|
| 302 |
+
Args:
|
| 303 |
+
scale: (N, 3) 三个轴的尺度
|
| 304 |
+
rotation: (N, 4) 四元数 [w,x,y,z]
|
| 305 |
+
Returns:
|
| 306 |
+
covariances: (N, 3, 3)
|
| 307 |
+
"""
|
| 308 |
+
N = len(scale)
|
| 309 |
+
R = self.quaternion_to_rotation_matrix(rotation) # (N, 3, 3)
|
| 310 |
+
|
| 311 |
+
# S 是对角矩阵
|
| 312 |
+
S = np.zeros((N, 3, 3))
|
| 313 |
+
S[:, 0, 0] = scale[:, 0]
|
| 314 |
+
S[:, 1, 1] = scale[:, 1]
|
| 315 |
+
S[:, 2, 2] = scale[:, 2]
|
| 316 |
+
|
| 317 |
+
# Σ = R·S·S^T·R^T
|
| 318 |
+
covariances = np.einsum('nij,njk,nlk,nli->nil', R, S, S, R)
|
| 319 |
+
|
| 320 |
+
return covariances
|
| 321 |
+
|
| 322 |
+
def moment_matching(self, means, covariances, opacities, scales):
|
| 323 |
+
"""
|
| 324 |
+
矩匹配: 合并多个高斯分布
|
| 325 |
+
|
| 326 |
+
公式:
|
| 327 |
+
- 权重: wi = opacity_i * volume_i
|
| 328 |
+
- 新均值: μ_new = Σ(wi * μi) / Σwi
|
| 329 |
+
- 新协方差: Σ_new = Σ(wi * (Σi + (μi-μ_new)(μi-μ_new)^T)) / Σwi
|
| 330 |
+
- 新不透明度: 质量守恒,Σ(opacity_i * volume_i) = opacity_new * volume_new
|
| 331 |
+
|
| 332 |
+
Args:
|
| 333 |
+
means: (K, 3) 各高斯均值
|
| 334 |
+
covariances: (K, 3, 3) 各高斯协方差矩阵
|
| 335 |
+
opacities: (K, 1) 不透明度
|
| 336 |
+
scales: (K, 3) 尺度
|
| 337 |
+
Returns:
|
| 338 |
+
new_mean: (3,)
|
| 339 |
+
new_covariance: (3, 3)
|
| 340 |
+
new_opacity: float
|
| 341 |
+
new_scale: (3,)
|
| 342 |
+
new_rotation: (4,) 四元数
|
| 343 |
+
"""
|
| 344 |
+
# 计算权重 wi = opacity * scale_volume
|
| 345 |
+
scale_volumes = np.prod(scales, axis=1, keepdims=True) # (K, 1)
|
| 346 |
+
weights = opacities * scale_volumes # (K, 1)
|
| 347 |
+
total_weight = weights.sum()
|
| 348 |
+
weights_normalized = weights / total_weight # 归一化用于计算均值和协方差
|
| 349 |
+
|
| 350 |
+
# 计算加权均值
|
| 351 |
+
new_mean = np.sum(weights_normalized * means, axis=0) # (3,)
|
| 352 |
+
|
| 353 |
+
# 计算混合协方差
|
| 354 |
+
mean_diff = means - new_mean # (K, 3)
|
| 355 |
+
outer_products = np.einsum('ki,kj->kij', mean_diff, mean_diff) # (K, 3, 3)
|
| 356 |
+
|
| 357 |
+
new_covariance = np.sum(
|
| 358 |
+
weights_normalized[:, :, np.newaxis] * (covariances + outer_products),
|
| 359 |
+
axis=0
|
| 360 |
+
) # (3, 3)
|
| 361 |
+
|
| 362 |
+
# 从协方差矩阵分解得到scale和rotation
|
| 363 |
+
# 特征值分解: Σ = V·Λ·V^T,其中V是旋转矩阵,Λ是特征值对角阵
|
| 364 |
+
eigenvalues, eigenvectors = np.linalg.eigh(new_covariance)
|
| 365 |
+
|
| 366 |
+
# scale = sqrt(eigenvalues)
|
| 367 |
+
new_scale = np.sqrt(np.abs(eigenvalues))
|
| 368 |
+
new_scale_volume = np.prod(new_scale)
|
| 369 |
+
|
| 370 |
+
# 质量守恒: Σ(opacity_i * volume_i) = opacity_new * volume_new
|
| 371 |
+
# opacity_new = Σ(opacity_i * volume_i) / volume_new
|
| 372 |
+
if new_scale_volume > 1e-10:
|
| 373 |
+
new_opacity = total_weight / new_scale_volume
|
| 374 |
+
new_opacity = np.clip(new_opacity, 0, 1) # 限制在[0,1]
|
| 375 |
+
else:
|
| 376 |
+
new_opacity = np.mean(opacities) # fallback
|
| 377 |
+
|
| 378 |
+
# rotation matrix = eigenvectors
|
| 379 |
+
R_new = eigenvectors
|
| 380 |
+
|
| 381 |
+
# 旋转矩阵转四元数
|
| 382 |
+
new_rotation = self.rotation_matrix_to_quaternion(R_new)
|
| 383 |
+
|
| 384 |
+
return new_mean, new_covariance, new_opacity, new_scale, new_rotation
|
| 385 |
+
|
| 386 |
+
def rotation_matrix_to_quaternion(self, R):
|
| 387 |
+
"""
|
| 388 |
+
旋转矩阵转四元数 [w, x, y, z]
|
| 389 |
+
使用Shepperd方法,数值稳定
|
| 390 |
+
"""
|
| 391 |
+
trace = np.trace(R)
|
| 392 |
+
|
| 393 |
+
if trace > 0:
|
| 394 |
+
s = 0.5 / np.sqrt(trace + 1.0)
|
| 395 |
+
w = 0.25 / s
|
| 396 |
+
x = (R[2, 1] - R[1, 2]) * s
|
| 397 |
+
y = (R[0, 2] - R[2, 0]) * s
|
| 398 |
+
z = (R[1, 0] - R[0, 1]) * s
|
| 399 |
+
elif R[0, 0] > R[1, 1] and R[0, 0] > R[2, 2]:
|
| 400 |
+
s = 2.0 * np.sqrt(1.0 + R[0, 0] - R[1, 1] - R[2, 2])
|
| 401 |
+
w = (R[2, 1] - R[1, 2]) / s
|
| 402 |
+
x = 0.25 * s
|
| 403 |
+
y = (R[0, 1] + R[1, 0]) / s
|
| 404 |
+
z = (R[0, 2] + R[2, 0]) / s
|
| 405 |
+
elif R[1, 1] > R[2, 2]:
|
| 406 |
+
s = 2.0 * np.sqrt(1.0 + R[1, 1] - R[0, 0] - R[2, 2])
|
| 407 |
+
w = (R[0, 2] - R[2, 0]) / s
|
| 408 |
+
x = (R[0, 1] + R[1, 0]) / s
|
| 409 |
+
y = 0.25 * s
|
| 410 |
+
z = (R[1, 2] + R[2, 1]) / s
|
| 411 |
+
else:
|
| 412 |
+
s = 2.0 * np.sqrt(1.0 + R[2, 2] - R[0, 0] - R[1, 1])
|
| 413 |
+
w = (R[1, 0] - R[0, 1]) / s
|
| 414 |
+
x = (R[0, 2] + R[2, 0]) / s
|
| 415 |
+
y = (R[1, 2] + R[2, 1]) / s
|
| 416 |
+
z = 0.25 * s
|
| 417 |
+
|
| 418 |
+
q = np.array([w, x, y, z])
|
| 419 |
+
q = q / np.linalg.norm(q) # 归一化
|
| 420 |
+
return q
|
| 421 |
+
|
| 422 |
+
def cluster_and_merge_cell(self, gaussians, point_indices, cell_info):
|
| 423 |
+
"""
|
| 424 |
+
在单个cell内进行聚类和merge
|
| 425 |
+
|
| 426 |
+
流程:
|
| 427 |
+
1. 提取padding区域内的所有点
|
| 428 |
+
2. 计算聚类特征(归一化位置+不透明度+SH)
|
| 429 |
+
3. 使用AgglomerativeClustering聚类
|
| 430 |
+
4. 对每个簇使用矩匹配合并
|
| 431 |
+
5. 只保留中心在no-padding区域的簇
|
| 432 |
+
|
| 433 |
+
Args:
|
| 434 |
+
gaussians: 完整的高斯数据dict
|
| 435 |
+
point_indices: 当前cell内的点索引 (包含padding区域)
|
| 436 |
+
cell_info: cell的边界信息
|
| 437 |
+
Returns:
|
| 438 |
+
merged_gaussians: dict, merge后的高斯参数
|
| 439 |
+
"""
|
| 440 |
+
if len(point_indices) == 0:
|
| 441 |
+
return None
|
| 442 |
+
|
| 443 |
+
# 提取cell内的数据
|
| 444 |
+
xyz = gaussians['xyz'][point_indices]
|
| 445 |
+
|
| 446 |
+
# 计算聚类特征
|
| 447 |
+
cell_bounds = cell_info['bounds_with_padding']
|
| 448 |
+
features = self.compute_features_for_clustering(gaussians, point_indices, cell_bounds)
|
| 449 |
+
|
| 450 |
+
# 计算聚类数量: n_clusters = n_points // target_points_per_cluster
|
| 451 |
+
n_clusters = max(1, len(point_indices) // self.target_points_per_cluster)
|
| 452 |
+
|
| 453 |
+
# AgglomerativeClustering
|
| 454 |
+
clustering = AgglomerativeClustering(
|
| 455 |
+
n_clusters=n_clusters,
|
| 456 |
+
metric='euclidean',
|
| 457 |
+
linkage='ward'
|
| 458 |
+
)
|
| 459 |
+
labels = clustering.fit_predict(features)
|
| 460 |
+
|
| 461 |
+
# 对每个簇进行merge
|
| 462 |
+
merged_results = {
|
| 463 |
+
'xyz': [],
|
| 464 |
+
'opacity': [],
|
| 465 |
+
'dc': [],
|
| 466 |
+
'sh': [],
|
| 467 |
+
'scale': [],
|
| 468 |
+
'rotation': []
|
| 469 |
+
}
|
| 470 |
+
|
| 471 |
+
no_padding_min, no_padding_max = cell_info['bounds_no_padding']
|
| 472 |
+
|
| 473 |
+
for cluster_id in range(n_clusters):
|
| 474 |
+
cluster_mask = labels == cluster_id
|
| 475 |
+
cluster_point_indices = point_indices[cluster_mask]
|
| 476 |
+
|
| 477 |
+
if len(cluster_point_indices) == 0:
|
| 478 |
+
continue
|
| 479 |
+
|
| 480 |
+
# 提取簇内数据
|
| 481 |
+
cluster_xyz = gaussians['xyz'][cluster_point_indices]
|
| 482 |
+
cluster_opacity = gaussians['opacity'][cluster_point_indices]
|
| 483 |
+
cluster_dc = gaussians['dc'][cluster_point_indices]
|
| 484 |
+
cluster_sh = gaussians['sh'][cluster_point_indices]
|
| 485 |
+
cluster_scale = gaussians['scale'][cluster_point_indices]
|
| 486 |
+
cluster_rotation = gaussians['rotation'][cluster_point_indices]
|
| 487 |
+
|
| 488 |
+
# 计算协方差矩阵
|
| 489 |
+
cluster_covariances = self.compute_covariance(cluster_scale, cluster_rotation)
|
| 490 |
+
|
| 491 |
+
# 矩匹配合并位置和协方差
|
| 492 |
+
new_mean, new_cov, new_opacity, new_scale, new_rotation = self.moment_matching(
|
| 493 |
+
cluster_xyz, cluster_covariances, cluster_opacity, cluster_scale
|
| 494 |
+
)
|
| 495 |
+
|
| 496 |
+
# 只保留中心在no-padding区域的簇
|
| 497 |
+
if np.all(new_mean >= no_padding_min) and np.all(new_mean < no_padding_max):
|
| 498 |
+
# DC和SH使用加权平均
|
| 499 |
+
scale_volumes = np.prod(cluster_scale, axis=1, keepdims=True)
|
| 500 |
+
weights = cluster_opacity * scale_volumes
|
| 501 |
+
weights = weights / weights.sum()
|
| 502 |
+
|
| 503 |
+
new_dc = np.sum(weights * cluster_dc, axis=0)
|
| 504 |
+
new_sh = np.sum(weights * cluster_sh, axis=0)
|
| 505 |
+
|
| 506 |
+
# 添加到结果
|
| 507 |
+
merged_results['xyz'].append(new_mean)
|
| 508 |
+
merged_results['opacity'].append([new_opacity])
|
| 509 |
+
merged_results['dc'].append(new_dc)
|
| 510 |
+
merged_results['sh'].append(new_sh)
|
| 511 |
+
merged_results['scale'].append(new_scale)
|
| 512 |
+
merged_results['rotation'].append(new_rotation)
|
| 513 |
+
|
| 514 |
+
# 转换为numpy数组
|
| 515 |
+
if len(merged_results['xyz']) == 0:
|
| 516 |
+
return None
|
| 517 |
+
|
| 518 |
+
for key in merged_results:
|
| 519 |
+
merged_results[key] = np.array(merged_results[key])
|
| 520 |
+
|
| 521 |
+
return merged_results
|
| 522 |
+
|
| 523 |
+
def merge_all(self, gaussians):
|
| 524 |
+
"""
|
| 525 |
+
对所有cell进行聚类merge
|
| 526 |
+
|
| 527 |
+
Args:
|
| 528 |
+
gaussians: 原始高斯数据
|
| 529 |
+
Returns:
|
| 530 |
+
merged_gaussians: merge后的高斯数据
|
| 531 |
+
"""
|
| 532 |
+
# 空间划分
|
| 533 |
+
cell_dict, cell_info = self.partition_space(gaussians['xyz'])
|
| 534 |
+
|
| 535 |
+
# 对每个cell进行处理
|
| 536 |
+
all_merged = {
|
| 537 |
+
'xyz': [],
|
| 538 |
+
'opacity': [],
|
| 539 |
+
'dc': [],
|
| 540 |
+
'sh': [],
|
| 541 |
+
'scale': [],
|
| 542 |
+
'rotation': []
|
| 543 |
+
}
|
| 544 |
+
|
| 545 |
+
total_cells = len(cell_dict)
|
| 546 |
+
for idx, (cell_id, point_indices) in enumerate(cell_dict.items()):
|
| 547 |
+
if (idx + 1) % 100 == 0:
|
| 548 |
+
print(f"Processing cell {idx+1}/{total_cells}...")
|
| 549 |
+
|
| 550 |
+
merged = self.cluster_and_merge_cell(gaussians, point_indices, cell_info[cell_id])
|
| 551 |
+
|
| 552 |
+
if merged is not None:
|
| 553 |
+
for key in all_merged:
|
| 554 |
+
all_merged[key].append(merged[key])
|
| 555 |
+
|
| 556 |
+
# 合并所有cell的结果
|
| 557 |
+
final_merged = {}
|
| 558 |
+
for key in all_merged:
|
| 559 |
+
final_merged[key] = np.concatenate(all_merged[key], axis=0)
|
| 560 |
+
|
| 561 |
+
print(f"\nMerge Statistics:")
|
| 562 |
+
print(f" Original points: {len(gaussians['xyz'])}")
|
| 563 |
+
print(f" Merged points: {len(final_merged['xyz'])}")
|
| 564 |
+
print(f" Compression ratio: {len(gaussians['xyz']) / len(final_merged['xyz']):.2f}x")
|
| 565 |
+
|
| 566 |
+
return final_merged
|
| 567 |
+
|
| 568 |
+
|
| 569 |
+
class ImageEvaluator:
|
| 570 |
+
"""
|
| 571 |
+
图像质量评估
|
| 572 |
+
支持: PSNR, SSIM, LPIPS, NIQE, FID, MEt3R
|
| 573 |
+
"""
|
| 574 |
+
def __init__(self, device='cuda' if torch.cuda.is_available() else 'cpu'):
|
| 575 |
+
self.device = device
|
| 576 |
+
|
| 577 |
+
# 初始化LPIPS模型
|
| 578 |
+
self.lpips_model = lpips.LPIPS(net='alex').to(device)
|
| 579 |
+
|
| 580 |
+
def load_image(self, image_path):
|
| 581 |
+
"""
|
| 582 |
+
加载图像,支持jpg和png
|
| 583 |
+
Returns:
|
| 584 |
+
img: (H, W, 3) numpy array, range [0, 1]
|
| 585 |
+
"""
|
| 586 |
+
img = cv2.imread(image_path)
|
| 587 |
+
img = cv2.cvtColor(img, cv2.COLOR_BGR2RGB)
|
| 588 |
+
img = img.astype(np.float32) / 255.0
|
| 589 |
+
return img
|
| 590 |
+
|
| 591 |
+
def compute_psnr(self, img1, img2):
|
| 592 |
+
"""
|
| 593 |
+
计算PSNR
|
| 594 |
+
"""
|
| 595 |
+
return psnr(img1, img2, data_range=1.0)
|
| 596 |
+
|
| 597 |
+
def compute_ssim(self, img1, img2):
|
| 598 |
+
"""
|
| 599 |
+
计算SSIM
|
| 600 |
+
"""
|
| 601 |
+
return ssim(img1, img2, multichannel=True, data_range=1.0, channel_axis=2)
|
| 602 |
+
|
| 603 |
+
def compute_lpips(self, img1, img2):
|
| 604 |
+
"""
|
| 605 |
+
计算LPIPS (需要转换为tensor)
|
| 606 |
+
"""
|
| 607 |
+
# 转换为tensor: (H,W,3) -> (1,3,H,W)
|
| 608 |
+
img1_t = torch.from_numpy(img1).permute(2, 0, 1).unsqueeze(0).to(self.device)
|
| 609 |
+
img2_t = torch.from_numpy(img2).permute(2, 0, 1).unsqueeze(0).to(self.device)
|
| 610 |
+
|
| 611 |
+
# LPIPS期望输入范围[-1, 1]
|
| 612 |
+
img1_t = img1_t * 2 - 1
|
| 613 |
+
img2_t = img2_t * 2 - 1
|
| 614 |
+
|
| 615 |
+
with torch.no_grad():
|
| 616 |
+
lpips_value = self.lpips_model(img1_t, img2_t).item()
|
| 617 |
+
|
| 618 |
+
return lpips_value
|
| 619 |
+
|
| 620 |
+
def compute_niqe(self, img):
|
| 621 |
+
"""
|
| 622 |
+
计算NIQE (无参考图像质量评估)
|
| 623 |
+
注意: 需要安装piq库或使用opencv实现
|
| 624 |
+
这里使用简化版本
|
| 625 |
+
"""
|
| 626 |
+
try:
|
| 627 |
+
import piq
|
| 628 |
+
img_t = torch.from_numpy(img).permute(2, 0, 1).unsqueeze(0).to(self.device)
|
| 629 |
+
niqe_value = piq.niqe(img_t).item()
|
| 630 |
+
return niqe_value
|
| 631 |
+
except:
|
| 632 |
+
print("Warning: NIQE requires 'piq' library. Returning 0.")
|
| 633 |
+
return 0.0
|
| 634 |
+
|
| 635 |
+
def compute_fid(self, real_images, fake_images):
|
| 636 |
+
"""
|
| 637 |
+
计算FID (Frechet Inception Distance)
|
| 638 |
+
需要多张图像,这里提供接口
|
| 639 |
+
|
| 640 |
+
Args:
|
| 641 |
+
real_images: list of image paths or numpy arrays
|
| 642 |
+
fake_images: list of image paths or numpy arrays
|
| 643 |
+
"""
|
| 644 |
+
try:
|
| 645 |
+
from pytorch_fid import fid_score
|
| 646 |
+
# FID需要使用目录路径或特征统计
|
| 647 |
+
print("Warning: FID computation requires pytorch-fid library and image directories.")
|
| 648 |
+
print("Please use fid_score.calculate_fid_given_paths() separately.")
|
| 649 |
+
return 0.0
|
| 650 |
+
except:
|
| 651 |
+
print("Warning: FID computation not available. Install pytorch-fid.")
|
| 652 |
+
return 0.0
|
| 653 |
+
|
| 654 |
+
def compute_meter(self, img1, img2):
|
| 655 |
+
"""
|
| 656 |
+
计算MEt3R (需要MEt3R模型)
|
| 657 |
+
这是一个学习型指标,需要预训练模型
|
| 658 |
+
"""
|
| 659 |
+
print("Warning: MEt3R computation requires specific model weights.")
|
| 660 |
+
print("Please refer to MEt3R paper and implementation.")
|
| 661 |
+
return 0.0
|
| 662 |
+
|
| 663 |
+
def evaluate_image_pair(self, gt_path, rendered_path):
|
| 664 |
+
"""
|
| 665 |
+
评估一对图像
|
| 666 |
+
|
| 667 |
+
Args:
|
| 668 |
+
gt_path: 高分辨率ground truth图像路径
|
| 669 |
+
rendered_path: 渲染的图像路径
|
| 670 |
+
Returns:
|
| 671 |
+
dict: 包含所有评估指标
|
| 672 |
+
"""
|
| 673 |
+
print(f"Evaluating: {rendered_path}")
|
| 674 |
+
|
| 675 |
+
# 加载图像
|
| 676 |
+
gt_img = self.load_image(gt_path)
|
| 677 |
+
rendered_img = self.load_image(rendered_path)
|
| 678 |
+
|
| 679 |
+
# 确保尺寸一致
|
| 680 |
+
if gt_img.shape != rendered_img.shape:
|
| 681 |
+
print(f"Warning: Image size mismatch. GT: {gt_img.shape}, Rendered: {rendered_img.shape}")
|
| 682 |
+
# 调整rendered_img到gt_img的大小
|
| 683 |
+
rendered_img = cv2.resize(rendered_img, (gt_img.shape[1], gt_img.shape[0]))
|
| 684 |
+
|
| 685 |
+
# 计算所有指标
|
| 686 |
+
metrics = {
|
| 687 |
+
'PSNR': self.compute_psnr(gt_img, rendered_img),
|
| 688 |
+
'SSIM': self.compute_ssim(gt_img, rendered_img),
|
| 689 |
+
'LPIPS': self.compute_lpips(gt_img, rendered_img),
|
| 690 |
+
'NIQE': self.compute_niqe(rendered_img), # 无参考指标
|
| 691 |
+
}
|
| 692 |
+
|
| 693 |
+
return metrics
|
| 694 |
+
|
| 695 |
+
def evaluate_multiple_views(self, gt_dir, rendered_dir):
|
| 696 |
+
"""
|
| 697 |
+
评估多个视角
|
| 698 |
+
|
| 699 |
+
Args:
|
| 700 |
+
gt_dir: ground truth图像目录
|
| 701 |
+
rendered_dir: 渲染图像目录
|
| 702 |
+
Returns:
|
| 703 |
+
dict: 平均指标
|
| 704 |
+
"""
|
| 705 |
+
import glob
|
| 706 |
+
|
| 707 |
+
# 获取所有图像
|
| 708 |
+
gt_images = sorted(glob.glob(os.path.join(gt_dir, '*.jpg')) +
|
| 709 |
+
glob.glob(os.path.join(gt_dir, '*.png')))
|
| 710 |
+
rendered_images = sorted(glob.glob(os.path.join(rendered_dir, '*.jpg')) +
|
| 711 |
+
glob.glob(os.path.join(rendered_dir, '*.png')))
|
| 712 |
+
|
| 713 |
+
if len(gt_images) != len(rendered_images):
|
| 714 |
+
print(f"Warning: Number of images mismatch. GT: {len(gt_images)}, Rendered: {len(rendered_images)}")
|
| 715 |
+
|
| 716 |
+
all_metrics = []
|
| 717 |
+
|
| 718 |
+
for gt_path, rendered_path in zip(gt_images, rendered_images):
|
| 719 |
+
metrics = self.evaluate_image_pair(gt_path, rendered_path)
|
| 720 |
+
all_metrics.append(metrics)
|
| 721 |
+
|
| 722 |
+
# 计算平均值
|
| 723 |
+
avg_metrics = {}
|
| 724 |
+
for key in all_metrics[0].keys():
|
| 725 |
+
avg_metrics[key] = np.mean([m[key] for m in all_metrics])
|
| 726 |
+
avg_metrics[key + '_std'] = np.std([m[key] for m in all_metrics])
|
| 727 |
+
|
| 728 |
+
return avg_metrics, all_metrics
|
| 729 |
+
|
| 730 |
+
|
| 731 |
+
# ==================== 使用示例 ====================
|
| 732 |
+
|
| 733 |
+
def main():
|
| 734 |
+
"""
|
| 735 |
+
完整流程示例:
|
| 736 |
+
1. 加载原始3DGS
|
| 737 |
+
2. 执行聚类merge
|
| 738 |
+
3. 保存merged模型
|
| 739 |
+
4. 调用渲染(需要外部实现)
|
| 740 |
+
5. 评估图像质量
|
| 741 |
+
"""
|
| 742 |
+
|
| 743 |
+
# ============ Step 1: 配置参数 ============
|
| 744 |
+
config = {
|
| 745 |
+
'original_ply': 'path/to/original_3dgs.ply',
|
| 746 |
+
'merged_ply': 'path/to/merged_3dgs.ply',
|
| 747 |
+
'gt_image_dir': 'path/to/high_res_images',
|
| 748 |
+
'rendered_image_dir': 'path/to/rendered_images',
|
| 749 |
+
'cell_size': 1.0, # 根据场景大小调整
|
| 750 |
+
'padding_ratio': 0.1,
|
| 751 |
+
'target_points_per_cluster': 3
|
| 752 |
+
}
|
| 753 |
+
|
| 754 |
+
# ============ Step 2: 执行Merge ============
|
| 755 |
+
print("="*50)
|
| 756 |
+
print("Step 1: Merging Gaussians")
|
| 757 |
+
print("="*50)
|
| 758 |
+
|
| 759 |
+
merger = GaussianMerger(
|
| 760 |
+
cell_size=config['cell_size'],
|
| 761 |
+
padding_ratio=config['padding_ratio'],
|
| 762 |
+
target_points_per_cluster=config['target_points_per_cluster']
|
| 763 |
+
)
|
| 764 |
+
|
| 765 |
+
# 加载原始3DGS
|
| 766 |
+
gaussians = merger.load_ply(config['original_ply'])
|
| 767 |
+
|
| 768 |
+
# 执行merge
|
| 769 |
+
merged_gaussians = merger.merge_all(gaussians)
|
| 770 |
+
|
| 771 |
+
# 保存结果
|
| 772 |
+
merger.save_ply(merged_gaussians, config['merged_ply'])
|
| 773 |
+
|
| 774 |
+
# ============ Step 3: 渲染 (需要外部实现) ============
|
| 775 |
+
print("\n" + "="*50)
|
| 776 |
+
print("Step 2: Rendering (Please implement separately)")
|
| 777 |
+
print("="*50)
|
| 778 |
+
print(f"Please use your 3DGS renderer to render images from:")
|
| 779 |
+
print(f" Model: {config['merged_ply']}")
|
| 780 |
+
print(f" Output to: {config['rendered_image_dir']}")
|
| 781 |
+
print("\nExample command (using gaussian-splatting):")
|
| 782 |
+
print(f" python render.py -m {config['merged_ply']} -s <scene_path>")
|
| 783 |
+
|
| 784 |
+
# ============ Step 4: 评估 ============
|
| 785 |
+
print("\n" + "="*50)
|
| 786 |
+
print("Step 3: Evaluating Image Quality")
|
| 787 |
+
print("="*50)
|
| 788 |
+
|
| 789 |
+
evaluator = ImageEvaluator()
|
| 790 |
+
|
| 791 |
+
# 评估多个视角
|
| 792 |
+
avg_metrics, all_metrics = evaluator.evaluate_multiple_views(
|
| 793 |
+
config['gt_image_dir'],
|
| 794 |
+
config['rendered_image_dir']
|
| 795 |
+
)
|
| 796 |
+
|
| 797 |
+
# 打印结果
|
| 798 |
+
print("\n" + "="*50)
|
| 799 |
+
print("Evaluation Results")
|
| 800 |
+
print("="*50)
|
| 801 |
+
for metric_name, value in avg_metrics.items():
|
| 802 |
+
if not metric_name.endswith('_std'):
|
| 803 |
+
std = avg_metrics.get(metric_name + '_std', 0)
|
| 804 |
+
print(f"{metric_name:10s}: {value:.4f} ± {std:.4f}")
|
| 805 |
+
|
| 806 |
+
# 保存详细结果
|
| 807 |
+
import json
|
| 808 |
+
results = {
|
| 809 |
+
'config': config,
|
| 810 |
+
'merge_stats': {
|
| 811 |
+
'original_points': len(gaussians['xyz']),
|
| 812 |
+
'merged_points': len(merged_gaussians['xyz']),
|
| 813 |
+
'compression_ratio': len(gaussians['xyz']) / len(merged_gaussians['xyz'])
|
| 814 |
+
},
|
| 815 |
+
'average_metrics': {k: float(v) for k, v in avg_metrics.items()},
|
| 816 |
+
'per_view_metrics': [{k: float(v) for k, v in m.items()} for m in all_metrics]
|
| 817 |
+
}
|
| 818 |
+
|
| 819 |
+
with open('evaluation_results.json', 'w') as f:
|
| 820 |
+
json.dump(results, f, indent=2)
|
| 821 |
+
|
| 822 |
+
print(f"\nResults saved to: evaluation_results.json")
|
| 823 |
+
|
| 824 |
+
|
| 825 |
+
if __name__ == "__main__":
|
| 826 |
+
main()
|