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import torch
import torch.nn
import torch.nn.functional as F
from .sh import eval_sh_bases
import numpy as np
import time
def positional_encoding(positions, freqs):
freq_bands = (2 ** torch.arange(freqs).float()).to(positions.device) # (F,)
pts = (positions[..., None] * freq_bands).reshape(
positions.shape[:-1] + (freqs * positions.shape[-1],)) # (..., DF)
pts = torch.cat([torch.sin(pts), torch.cos(pts)], dim=-1)
return pts
def raw2alpha(sigma, dist):
# sigma, dist [N_rays, N_samples]
alpha = 1. - torch.exp(-sigma * dist)
T = torch.cumprod(torch.cat([torch.ones(alpha.shape[0], 1).to(alpha.device), 1. - alpha + 1e-10], -1), -1)
weights = alpha * T[:, :-1] # [N_rays, N_samples]
return alpha, weights, T[:, -1:]
def SHRender(xyz_sampled, viewdirs, features):
sh_mult = eval_sh_bases(2, viewdirs)[:, None]
rgb_sh = features.view(-1, 3, sh_mult.shape[-1])
rgb = torch.relu(torch.sum(sh_mult * rgb_sh, dim=-1) + 0.5)
return rgb
def RGBRender(xyz_sampled, viewdirs, features):
rgb = features
return rgb
class AlphaGridMask(torch.nn.Module):
def __init__(self, device, aabb, alpha_volume):
super(AlphaGridMask, self).__init__()
self.device = device
self.aabb = aabb.to(self.device)
self.aabbSize = self.aabb[1] - self.aabb[0]
self.invgridSize = 1.0 / self.aabbSize * 2
self.alpha_volume = alpha_volume.view(1, 1, *alpha_volume.shape[-3:])
self.gridSize = torch.LongTensor([alpha_volume.shape[-1], alpha_volume.shape[-2], alpha_volume.shape[-3]]).to(self.device)
def sample_alpha(self, xyz_sampled):
xyz_sampled = self.normalize_coord(xyz_sampled)
alpha_vals = F.grid_sample(self.alpha_volume, xyz_sampled.view(1, -1, 1, 1, 3), align_corners=True).view(-1)
return alpha_vals
def normalize_coord(self, xyz_sampled):
return (xyz_sampled - self.aabb[0]) * self.invgridSize - 1
class MLPRender_Fea(torch.nn.Module):
def __init__(self, inChanel, viewpe=6, feape=6, featureC=128):
super(MLPRender_Fea, self).__init__()
self.in_mlpC = 2 * viewpe * 3 + 2 * feape * inChanel + 3 + inChanel
self.viewpe = viewpe
self.feape = feape
layer1 = torch.nn.Linear(self.in_mlpC, featureC)
layer2 = torch.nn.Linear(featureC, featureC)
layer3 = torch.nn.Linear(featureC, 3)
self.mlp = torch.nn.Sequential(layer1, torch.nn.ReLU(inplace=True), layer2, torch.nn.ReLU(inplace=True), layer3)
torch.nn.init.constant_(self.mlp[-1].bias, 0)
def forward(self, pts, viewdirs, features):
indata = [features, viewdirs]
if self.feape > 0:
indata += [positional_encoding(features, self.feape)]
if self.viewpe > 0:
indata += [positional_encoding(viewdirs, self.viewpe)]
mlp_in = torch.cat(indata, dim=-1)
rgb = self.mlp(mlp_in)
rgb = torch.sigmoid(rgb)
return rgb
class MLPRender_PE(torch.nn.Module):
def __init__(self, inChanel, viewpe=6, pospe=6, featureC=128):
super(MLPRender_PE, self).__init__()
self.in_mlpC = (3 + 2 * viewpe * 3) + (3 + 2 * pospe * 3) + inChanel #
self.viewpe = viewpe
self.pospe = pospe
layer1 = torch.nn.Linear(self.in_mlpC, featureC)
layer2 = torch.nn.Linear(featureC, featureC)
layer3 = torch.nn.Linear(featureC, 3)
self.mlp = torch.nn.Sequential(layer1, torch.nn.ReLU(inplace=True), layer2, torch.nn.ReLU(inplace=True), layer3)
torch.nn.init.constant_(self.mlp[-1].bias, 0)
def forward(self, pts, viewdirs, features):
indata = [features, viewdirs]
if self.pospe > 0:
indata += [positional_encoding(pts, self.pospe)]
if self.viewpe > 0:
indata += [positional_encoding(viewdirs, self.viewpe)]
mlp_in = torch.cat(indata, dim=-1)
rgb = self.mlp(mlp_in)
rgb = torch.sigmoid(rgb)
return rgb
class MLPRender(torch.nn.Module):
def __init__(self, inChanel, viewpe=6, featureC=128):
super(MLPRender, self).__init__()
self.in_mlpC = (3 + 2 * viewpe * 3) + inChanel
self.viewpe = viewpe
layer1 = torch.nn.Linear(self.in_mlpC, featureC)
layer2 = torch.nn.Linear(featureC, featureC)
layer3 = torch.nn.Linear(featureC, 3)
self.mlp = torch.nn.Sequential(layer1, torch.nn.ReLU(inplace=True), layer2, torch.nn.ReLU(inplace=True), layer3)
torch.nn.init.constant_(self.mlp[-1].bias, 0)
def forward(self, pts, viewdirs, features):
indata = [features, viewdirs]
if self.viewpe > 0:
indata += [positional_encoding(viewdirs, self.viewpe)]
mlp_in = torch.cat(indata, dim=-1)
rgb = self.mlp(mlp_in)
rgb = torch.sigmoid(rgb)
return rgb
class TensorBase(torch.nn.Module):
def __init__(self, aabb, gridSize, device, density_n_comp=8, appearance_n_comp=24, app_dim=27,
shadingMode='MLP_PE', alphaMask=None, near_far=[2.0, 6.0],
density_shift=-10, alphaMask_thres=0.001, distance_scale=25, rayMarch_weight_thres=0.0001,
pos_pe=6, view_pe=6, fea_pe=6, featureC=128, step_ratio=2.0,
fea2denseAct='softplus'):
super(TensorBase, self).__init__()
self.density_n_comp = density_n_comp
self.app_n_comp = appearance_n_comp
self.app_dim = app_dim
self.aabb = aabb
self.alphaMask = alphaMask
self.device = device
self.density_shift = density_shift
self.alphaMask_thres = alphaMask_thres
self.distance_scale = distance_scale
self.rayMarch_weight_thres = rayMarch_weight_thres
self.fea2denseAct = fea2denseAct
self.near_far = near_far
self.step_ratio = step_ratio
self.update_stepSize(gridSize)
self.matMode = [[0, 1], [0, 2], [1, 2]]
self.vecMode = [2, 1, 0]
self.comp_w = [1, 1, 1]
self.init_svd_volume(gridSize[0], device)
self.shadingMode, self.pos_pe, self.view_pe, self.fea_pe, self.featureC = shadingMode, pos_pe, view_pe, fea_pe, featureC
self.init_render_func(shadingMode, pos_pe, view_pe, fea_pe, featureC, device)
def init_render_func(self, shadingMode, pos_pe, view_pe, fea_pe, featureC, device):
if shadingMode == 'MLP_PE':
self.renderModule = MLPRender_PE(self.app_dim, view_pe, pos_pe, featureC).to(device)
elif shadingMode == 'MLP_Fea':
self.renderModule = MLPRender_Fea(self.app_dim, view_pe, fea_pe, featureC).to(device)
elif shadingMode == 'MLP':
self.renderModule = MLPRender(self.app_dim, view_pe, featureC).to(device)
elif shadingMode == 'SH':
self.renderModule = SHRender
elif shadingMode == 'RGB':
assert self.app_dim == 3
self.renderModule = RGBRender
else:
print("Unrecognized shading module")
exit()
print("pos_pe", pos_pe, "view_pe", view_pe, "fea_pe", fea_pe)
print(self.renderModule)
def update_stepSize(self, gridSize):
print("aabb", self.aabb.view(-1))
print("grid size", gridSize)
self.aabbSize = self.aabb[1] - self.aabb[0]
self.invaabbSize = 2.0 / self.aabbSize
self.gridSize = torch.LongTensor(gridSize).to(self.device)
self.units = self.aabbSize / (self.gridSize - 1)
self.stepSize = torch.mean(self.units) * self.step_ratio
self.aabbDiag = torch.sqrt(torch.sum(torch.square(self.aabbSize)))
self.nSamples = int((self.aabbDiag / self.stepSize).item()) + 1
print("sampling step size: ", self.stepSize)
print("sampling number: ", self.nSamples)
def init_svd_volume(self, res, device):
pass
def compute_features(self, xyz_sampled):
pass
def compute_densityfeature(self, xyz_sampled):
pass
def compute_appfeature(self, xyz_sampled):
pass
def normalize_coord(self, xyz_sampled):
return (xyz_sampled - self.aabb[0]) * self.invaabbSize - 1
def get_optparam_groups(self, lr_init_spatial=0.02, lr_init_network=0.001):
pass
def get_kwargs(self):
return {
'aabb': self.aabb,
'gridSize': self.gridSize.tolist(),
'density_n_comp': self.density_n_comp,
'appearance_n_comp': self.app_n_comp,
'app_dim': self.app_dim,
'density_shift': self.density_shift,
'alphaMask_thres': self.alphaMask_thres,
'distance_scale': self.distance_scale,
'rayMarch_weight_thres': self.rayMarch_weight_thres,
'fea2denseAct': self.fea2denseAct,
'near_far': self.near_far,
'step_ratio': self.step_ratio,
'shadingMode': self.shadingMode,
'pos_pe': self.pos_pe,
'view_pe': self.view_pe,
'fea_pe': self.fea_pe,
'featureC': self.featureC
}
def save(self, path):
kwargs = self.get_kwargs()
ckpt = {'kwargs': kwargs, 'state_dict': self.state_dict()}
if self.alphaMask is not None:
alpha_volume = self.alphaMask.alpha_volume.bool().cpu().numpy()
ckpt.update({'alphaMask.shape': alpha_volume.shape})
ckpt.update({'alphaMask.mask': np.packbits(alpha_volume.reshape(-1))})
ckpt.update({'alphaMask.aabb': self.alphaMask.aabb.cpu()})
torch.save(ckpt, path)
def load(self, ckpt):
if 'alphaMask.aabb' in ckpt.keys():
length = np.prod(ckpt['alphaMask.shape'])
alpha_volume = torch.from_numpy(np.unpackbits(ckpt['alphaMask.mask'])[:length].reshape(ckpt['alphaMask.shape']))
self.alphaMask = AlphaGridMask(self.device, ckpt['alphaMask.aabb'].to(self.device), alpha_volume.float().to(self.device))
self.load_state_dict(ckpt['state_dict'])
def sample_ray_ndc(self, rays_o, rays_d, is_train=True, N_samples=-1):
N_samples = N_samples if N_samples > 0 else self.nSamples
near, far = self.near_far
interpx = torch.linspace(near, far, N_samples).unsqueeze(0).to(rays_o)
if is_train:
interpx += torch.rand_like(interpx).to(rays_o) * ((far - near) / N_samples)
rays_pts = rays_o[..., None, :] + rays_d[..., None, :] * interpx[..., None]
mask_outbbox = ((self.aabb[0] > rays_pts) | (rays_pts > self.aabb[1])).any(dim=-1)
return rays_pts, interpx, ~mask_outbbox
def sample_ray(self, rays_o, rays_d, is_train=True, N_samples=-1):
N_samples = N_samples if N_samples > 0 else self.nSamples
stepsize = self.stepSize
near, far = self.near_far
vec = torch.where(rays_d == 0, torch.full_like(rays_d, 1e-6), rays_d)
rate_a = (self.aabb[1] - rays_o) / vec
rate_b = (self.aabb[0] - rays_o) / vec
t_min = torch.minimum(rate_a, rate_b).amax(-1).clamp(min=near, max=far)
rng = torch.arange(N_samples)[None].float()
if is_train:
rng = rng.repeat(rays_d.shape[-2], 1)
rng += torch.rand_like(rng[:, [0]])
step = stepsize * rng.to(rays_o.device)
interpx = (t_min[..., None] + step)
rays_pts = rays_o[..., None, :] + rays_d[..., None, :] * interpx[..., None]
mask_outbbox = ((self.aabb[0] > rays_pts) | (rays_pts > self.aabb[1])).any(dim=-1)
return rays_pts, interpx, ~mask_outbbox
def shrink(self, new_aabb, voxel_size):
pass
@torch.no_grad()
def getDenseAlpha(self, gridSize=None):
gridSize = self.gridSize if gridSize is None else gridSize
samples = torch.stack(torch.meshgrid(
torch.linspace(0, 1, gridSize[0]),
torch.linspace(0, 1, gridSize[1]),
torch.linspace(0, 1, gridSize[2]),
), -1).to(self.device)
dense_xyz = self.aabb[0] * (1 - samples) + self.aabb[1] * samples
# dense_xyz = dense_xyz
# print(self.stepSize, self.distance_scale*self.aabbDiag)
alpha = torch.zeros_like(dense_xyz[..., 0])
for i in range(gridSize[0]):
alpha[i] = self.compute_alpha(dense_xyz[i].view(-1, 3), self.stepSize).view((gridSize[1], gridSize[2]))
return alpha, dense_xyz
@torch.no_grad()
def updateAlphaMask(self, gridSize=(200, 200, 200)):
alpha, dense_xyz = self.getDenseAlpha(gridSize)
dense_xyz = dense_xyz.transpose(0, 2).contiguous()
alpha = alpha.clamp(0, 1).transpose(0, 2).contiguous()[None, None]
total_voxels = gridSize[0] * gridSize[1] * gridSize[2]
ks = 3
alpha = F.max_pool3d(alpha, kernel_size=ks, padding=ks // 2, stride=1).view(gridSize[::-1])
alpha[alpha >= self.alphaMask_thres] = 1
alpha[alpha < self.alphaMask_thres] = 0
self.alphaMask = AlphaGridMask(self.device, self.aabb, alpha)
valid_xyz = dense_xyz[alpha > 0.5]
xyz_min = valid_xyz.amin(0)
xyz_max = valid_xyz.amax(0)
new_aabb = torch.stack((xyz_min, xyz_max))
total = torch.sum(alpha)
print(f"bbox: {xyz_min, xyz_max} alpha rest %%%f" % (total / total_voxels * 100))
return new_aabb
@torch.no_grad()
def filtering_rays(self, all_rays, all_rgbs, N_samples=256, chunk=10240 * 5, bbox_only=False):
print('========> filtering rays ...')
tt = time.time()
N = torch.tensor(all_rays.shape[:-1]).prod()
mask_filtered = []
idx_chunks = torch.split(torch.arange(N), chunk)
for idx_chunk in idx_chunks:
rays_chunk = all_rays[idx_chunk].to(self.device)
rays_o, rays_d = rays_chunk[..., :3], rays_chunk[..., 3:6]
if bbox_only:
vec = torch.where(rays_d == 0, torch.full_like(rays_d, 1e-6), rays_d)
rate_a = (self.aabb[1] - rays_o) / vec
rate_b = (self.aabb[0] - rays_o) / vec
t_min = torch.minimum(rate_a, rate_b).amax(-1) # .clamp(min=near, max=far)
t_max = torch.maximum(rate_a, rate_b).amin(-1) # .clamp(min=near, max=far)
mask_inbbox = t_max > t_min
else:
xyz_sampled, _, _ = self.sample_ray(rays_o, rays_d, N_samples=N_samples, is_train=False)
mask_inbbox = (self.alphaMask.sample_alpha(xyz_sampled).view(xyz_sampled.shape[:-1]) > 0).any(-1)
mask_filtered.append(mask_inbbox.cpu())
mask_filtered = torch.cat(mask_filtered).view(all_rgbs.shape[:-1])
print(f'Ray filtering done! takes {time.time() - tt} s. ray mask ratio: {torch.sum(mask_filtered) / N}')
return all_rays[mask_filtered], all_rgbs[mask_filtered]
def feature2density(self, density_features):
if self.fea2denseAct == "softplus":
return F.softplus(density_features + self.density_shift)
elif self.fea2denseAct == "relu":
return F.relu(density_features)
def compute_alpha(self, xyz_locs, length=1):
if self.alphaMask is not None:
alphas = self.alphaMask.sample_alpha(xyz_locs)
alpha_mask = alphas > 0
else:
alpha_mask = torch.ones_like(xyz_locs[:, 0], dtype=bool)
sigma = torch.zeros(xyz_locs.shape[:-1], device=xyz_locs.device)
if alpha_mask.any():
xyz_sampled = self.normalize_coord(xyz_locs[alpha_mask])
sigma_feature = self.compute_densityfeature(xyz_sampled)
validsigma = self.feature2density(sigma_feature)
sigma[alpha_mask] = validsigma
alpha = 1 - torch.exp(-sigma * length).view(xyz_locs.shape[:-1])
return alpha
def forward(self, rays_chunk, white_bg=True, is_train=False, ndc_ray=False, N_samples=-1):
# sample points
viewdirs = rays_chunk[:, 3:6]
if ndc_ray:
xyz_sampled, z_vals, ray_valid = self.sample_ray_ndc(rays_chunk[:, :3], viewdirs, is_train=is_train, N_samples=N_samples)
dists = torch.cat((z_vals[:, 1:] - z_vals[:, :-1], torch.zeros_like(z_vals[:, :1])), dim=-1)
rays_norm = torch.norm(viewdirs, dim=-1, keepdim=True)
dists = dists * rays_norm
viewdirs = viewdirs / rays_norm
else:
xyz_sampled, z_vals, ray_valid = self.sample_ray(rays_chunk[:, :3], viewdirs, is_train=is_train, N_samples=N_samples)
dists = torch.cat((z_vals[:, 1:] - z_vals[:, :-1], torch.zeros_like(z_vals[:, :1])), dim=-1)
viewdirs = viewdirs.view(-1, 1, 3).expand(xyz_sampled.shape)
if self.alphaMask is not None:
alphas = self.alphaMask.sample_alpha(xyz_sampled[ray_valid])
alpha_mask = alphas > 0
ray_invalid = ~ray_valid
ray_invalid[ray_valid] |= (~alpha_mask)
ray_valid = ~ray_invalid
sigma = torch.zeros(xyz_sampled.shape[:-1], device=xyz_sampled.device)
rgb = torch.zeros((*xyz_sampled.shape[:2], 3), device=xyz_sampled.device)
if ray_valid.any():
xyz_sampled = self.normalize_coord(xyz_sampled)
sigma_feature = self.compute_densityfeature(xyz_sampled[ray_valid])
validsigma = self.feature2density(sigma_feature)
sigma[ray_valid] = validsigma
alpha, weight, bg_weight = raw2alpha(sigma, dists * self.distance_scale)
app_mask = weight > self.rayMarch_weight_thres
if app_mask.any():
app_features = self.compute_appfeature(xyz_sampled[app_mask])
valid_rgbs = self.renderModule(xyz_sampled[app_mask], viewdirs[app_mask], app_features)
rgb[app_mask] = valid_rgbs
acc_map = torch.sum(weight, -1)
rgb_map = torch.sum(weight[..., None] * rgb, -2)
if white_bg or (is_train and torch.rand((1,)) < 0.5):
rgb_map = rgb_map + (1. - acc_map[..., None])
rgb_map = rgb_map.clamp(0, 1)
with torch.no_grad():
depth_map = torch.sum(weight * z_vals, -1)
depth_map = depth_map + (1. - acc_map) * rays_chunk[..., -1]
return rgb_map, depth_map # rgb, sigma, alpha, weight, bg_weight