-
Notifications
You must be signed in to change notification settings - Fork 1
/
run_nerf_helpers_snn.py
522 lines (433 loc) · 19.1 KB
/
run_nerf_helpers_snn.py
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
import torch
import torch.nn as nn
import torch.nn.functional as F
import numpy as np
from spikingjelly.clock_driven.ann2snn import modules
from spikingjelly.clock_driven import neuron
from spikingjelly.clock_driven import functional, surrogate
from spikingjelly.clock_driven.neuron import BaseNode, IFNode, LIFNode
# Misc
img2mse = lambda x, y: torch.mean((x - y) ** 2)
mse2psnr = lambda x: -10. * torch.log(x) / torch.log(torch.Tensor([10.]))
to8b = lambda x: (255 * np.clip(x, 0, 1)).astype(np.uint8)
class Embedder2:
def __init__(self, **kwargs):
self.kwargs = kwargs
self.create_embedding_fn()
def create_embedding_fn(self):
embed_fns = []
d = self.kwargs['input_dims']
out_dim = 0
if self.kwargs['include_input']:
embed_fns.append(lambda x: x)
out_dim += d
max_freq = self.kwargs['max_freq_log2']
N_freqs = self.kwargs['num_freqs']
if self.kwargs['log_sampling']:
freq_bands = 2. ** torch.linspace(0., max_freq, N_freqs)
else:
freq_bands = torch.linspace(2.**0., 2.**max_freq, N_freqs)
for freq in freq_bands:
for p_fn in self.kwargs['periodic_fns']:
embed_fns.append(lambda x, p_fn=p_fn, freq=freq: p_fn(x * freq))
out_dim += d
self.embed_fns = embed_fns
self.out_dim = out_dim
def embed(self, inputs):
return torch.cat([fn(inputs) for fn in self.embed_fns], -1)
def get_embedder2(multires, input_dims=3):
embed_kwargs = {
'include_input': True,
'input_dims': input_dims,
'max_freq_log2': multires-1,
'num_freqs': multires,
'log_sampling': True,
'periodic_fns': [torch.sin, torch.cos],
}
embedder_obj = Embedder2(**embed_kwargs)
def embed(x, eo=embedder_obj): return eo.embed(x)
return embed, embedder_obj.out_dim
class EdgePreservingSmoothnessLoss(nn.Module):
def __init__(self, opt=0):
super().__init__()
# self.opt = opt
self.patch_size = 4
self.gamma = 0.1
self.loss = lambda x: torch.mean(torch.abs(x))
self.bilateral_filter = lambda x: torch.exp(-torch.abs(x).sum(-1) / self.gamma)
def forward(self, inputs, weights):
w1 = self.bilateral_filter(weights[:,:,:-1] - weights[:,:,1:])
w2 = self.bilateral_filter(weights[:,:-1,:] - weights[:,1:,:])
w3 = self.bilateral_filter(weights[:,:-1,:-1] - weights[:,1:,1:])
w4 = self.bilateral_filter(weights[:,1:,:-1] - weights[:,:-1,1:])
L1 = self.loss(w1 * (inputs[:,:,:-1] - inputs[:,:,1:]))
L2 = self.loss(w2 * (inputs[:,:-1,:] - inputs[:,1:,:]))
L3 = self.loss(w3 * (inputs[:,:-1,:-1] - inputs[:,1:,1:]))
L4 = self.loss(w4 * (inputs[:,1:,:-1] - inputs[:,:-1,1:]))
return (L1 + L2 + L3 + L4) / 4
# Positional encoding (section 5.1)
class Embedder:
def __init__(self, **kwargs):
self.kwargs = kwargs
self.create_embedding_fn()
def create_embedding_fn(self):
embed_fns = []
d = self.kwargs['input_dims']
out_dim = 0
if self.kwargs['include_input']:
embed_fns.append(lambda x: x)
out_dim += d
max_freq = self.kwargs['max_freq_log2']
N_freqs = self.kwargs['num_freqs']
if self.kwargs['log_sampling']:
freq_bands = 2. ** torch.linspace(0., max_freq, steps=N_freqs)
else:
freq_bands = torch.linspace(2. ** 0., 2. ** max_freq, steps=N_freqs)
for freq in freq_bands:
for p_fn in self.kwargs['periodic_fns']:
embed_fns.append(lambda x, p_fn=p_fn, freq=freq: p_fn(x * freq))
out_dim += d
self.embed_fns = embed_fns
self.out_dim = out_dim
def embed(self, inputs):
return torch.cat([fn(inputs) for fn in self.embed_fns], -1)
def relu7(x):
return F.relu(x) * (x > 10).float()
def get_embedder(multires, i=0):
if i == -1:
return nn.Identity(), 3
embed_kwargs = {
'include_input': True,
'input_dims': 3,
'max_freq_log2': multires - 1,
'num_freqs': multires,
'log_sampling': True,
'periodic_fns': [torch.sin, torch.cos],
}
embedder_obj = Embedder(**embed_kwargs)
embed = lambda x, eo=embedder_obj: eo.embed(x)
return embed, embedder_obj.out_dim
def get_embedder_ex(multires, input_dims, i=0):
if i == -1:
return nn.Identity(), 3
embed_kwargs = {
'include_input': True,
'input_dims': input_dims,
'max_freq_log2': multires - 1,
'num_freqs': multires,
'log_sampling': True,
'periodic_fns': [torch.sin, torch.cos],
}
embedder_obj = Embedder(**embed_kwargs)
embed = lambda x, eo=embedder_obj: eo.embed(x)
return embed, embedder_obj.out_dim
# Model
class NeRF(nn.Module):
def __init__(self, D=8, W=256, input_ch=3, input_ch_views=3, output_ch=4, skips=[4], use_viewdirs=False):
"""
"""
super(NeRF, self).__init__()
self.D = D
self.W = W
self.input_ch = input_ch
self.input_ch_views = input_ch_views
self.skips = skips
self.use_viewdirs = use_viewdirs
self.pts_linears = nn.ModuleList(
[nn.Linear(input_ch, W)] + [nn.Linear(W, W) if i not in self.skips else nn.Linear(W + input_ch, W) for i in
range(D - 1)])
### Implementation according to the official code release (https://github.com/bmild/nerf/blob/master/run_nerf_helpers.py#L104-L105)
self.views_linears = nn.ModuleList([nn.Linear(input_ch_views + W, W // 2)])
### Implementation according to the paper
# self.views_linears = nn.ModuleList(
# [nn.Linear(input_ch_views + W, W//2)] + [nn.Linear(W//2, W//2) for i in range(D//2)])
if use_viewdirs:
self.feature_linear = nn.Linear(W, W)
self.alpha_linear = nn.Linear(W, 1)
self.rgb_linear = nn.Linear(W // 2, 3)
else:
self.output_linear = nn.Linear(W, output_ch)
def forward(self, x):
input_pts, input_views = torch.split(x, [self.input_ch, self.input_ch_views], dim=-1)
h = input_pts
for i, l in enumerate(self.pts_linears):
h = self.pts_linears[i](h)
h = F.relu(h)
if i in self.skips:
h = torch.cat([input_pts, h], -1)
if self.use_viewdirs:
alpha = self.alpha_linear(h)
feature = self.feature_linear(h)
h = torch.cat([feature, input_views], -1)
for i, l in enumerate(self.views_linears):
h = self.views_linears[i](h)
h = F.relu(h)
rgb = self.rgb_linear(h)
outputs = torch.cat([rgb, alpha], -1)
else:
outputs = self.output_linear(h)
return outputs
def init(self):
for m in self.modules():
if isinstance(m, torch.nn.Linear):
torch.nn.init.kaiming_normal_(m.weight, mode='fan_in')
def load_weights_from_keras(self, weights):
assert self.use_viewdirs, "Not implemented if use_viewdirs=False"
# Load pts_linears
for i in range(self.D):
idx_pts_linears = 2 * i
self.pts_linears[i].weight.data = torch.from_numpy(np.transpose(weights[idx_pts_linears]))
self.pts_linears[i].bias.data = torch.from_numpy(np.transpose(weights[idx_pts_linears + 1]))
# Load feature_linear
idx_feature_linear = 2 * self.D
self.feature_linear.weight.data = torch.from_numpy(np.transpose(weights[idx_feature_linear]))
self.feature_linear.bias.data = torch.from_numpy(np.transpose(weights[idx_feature_linear + 1]))
# Load views_linears
idx_views_linears = 2 * self.D + 2
self.views_linears[0].weight.data = torch.from_numpy(np.transpose(weights[idx_views_linears]))
self.views_linears[0].bias.data = torch.from_numpy(np.transpose(weights[idx_views_linears + 1]))
# Load rgb_linear
idx_rbg_linear = 2 * self.D + 4
self.rgb_linear.weight.data = torch.from_numpy(np.transpose(weights[idx_rbg_linear]))
self.rgb_linear.bias.data = torch.from_numpy(np.transpose(weights[idx_rbg_linear + 1]))
# Load alpha_linear
idx_alpha_linear = 2 * self.D + 6
self.alpha_linear.weight.data = torch.from_numpy(np.transpose(weights[idx_alpha_linear]))
self.alpha_linear.bias.data = torch.from_numpy(np.transpose(weights[idx_alpha_linear + 1]))
class Threshold_grad(torch.autograd.Function):
@staticmethod
def forward(ctx, input, threshold):
spike = (input >= threshold).float()
ctx.save_for_backward(spike, input, threshold)
return input * spike
@staticmethod
def backward(ctx, grad_output):
spike, input, threshold = ctx.saved_tensors
r = 10.
k = 0.1
grad_input = spike * grad_output.clone()
grad_vth = -r * input * ((k - (input - threshold).abs()) / k ** 2).clamp(min=0) * grad_output.clone()
return grad_input, grad_vth
class NeRF_outside(nn.Module):
def __init__(self,
D=8,
W=256,
d_in=3,
d_in_view=3,
multires=0,
multires_view=0,
output_ch=4,
skips=[4],
use_viewdirs=False):
super(NeRF, self).__init__()
self.D = D
self.W = W
self.d_in = d_in
self.d_in_view = d_in_view
self.input_ch = d_in
self.input_ch_view = d_in_view
self.embed_fn = None
self.embed_fn_view = None
if multires > 0:
embed_fn, input_ch = get_embedder(multires, input_dims=d_in)
self.embed_fn = embed_fn
self.input_ch = input_ch
if multires_view > 0:
embed_fn_view, input_ch_view = get_embedder(multires_view, input_dims=d_in_view)
self.embed_fn_view = embed_fn_view
self.input_ch_view = input_ch_view
self.skips = skips
self.use_viewdirs = use_viewdirs
self.pts_linears = nn.ModuleList(
[nn.Linear(self.input_ch, W)] +
[nn.Linear(W, W) if i not in self.skips else nn.Linear(W + self.input_ch, W) for i in range(D - 1)])
### Implementation according to the official code release
### (https://github.com/bmild/nerf/blob/master/run_nerf_helpers.py#L104-L105)
self.views_linears = nn.ModuleList([nn.Linear(self.input_ch_view + W, W // 2)])
### Implementation according to the paper
# self.views_linears = nn.ModuleList(
# [nn.Linear(input_ch_views + W, W//2)] + [nn.Linear(W//2, W//2) for i in range(D//2)])
if use_viewdirs:
self.feature_linear = nn.Linear(W, W)
self.alpha_linear = nn.Linear(W, 1)
self.rgb_linear = nn.Linear(W // 2, 3)
else:
self.output_linear = nn.Linear(W, output_ch)
def forward(self, input_pts, input_views):
if self.embed_fn is not None:
input_pts = self.embed_fn(input_pts)
if self.embed_fn_view is not None:
input_views = self.embed_fn_view(input_views)
h = input_pts
for i, l in enumerate(self.pts_linears):
h = self.pts_linears[i](h)
h = F.relu(h)
if i in self.skips:
h = torch.cat([input_pts, h], -1)
if self.use_viewdirs:
alpha = self.alpha_linear(h)
feature = self.feature_linear(h)
h = torch.cat([feature, input_views], -1)
for i, l in enumerate(self.views_linears):
h = self.views_linears[i](h)
h = F.relu(h)
rgb = self.rgb_linear(h)
return alpha, rgb
else:
assert False
class NeRF_T(nn.Module):
def __init__(self, D=8, W=256, input_ch=3, input_ch_views=3, output_ch=4, skips=[4], use_viewdirs=False, ratio=200.0, ratio2=1., threshold_2=0.0):
"""
"""
super(NeRF_T, self).__init__()
self.D = D
self.W = W
self.input_ch = input_ch
self.input_ch_views = input_ch_views
self.skips = skips
self.use_viewdirs = use_viewdirs
self.pts_linears = nn.ModuleList(
[nn.Linear(input_ch, W)] + [nn.Linear(W, W) if i not in self.skips else nn.Linear(W + input_ch, W) for i in
range(D - 1)])
### Implementation according to the official code release (https://github.com/bmild/nerf/blob/master/run_nerf_helpers.py#L104-L105)
self.views_linears = nn.ModuleList([nn.Linear(input_ch_views + W, W // 2)])
self.threshold_2 = torch.nn.Parameter(torch.tensor(threshold_2), requires_grad=True)
self.ratio = torch.nn.Parameter(torch.tensor(ratio), requires_grad=True)
self.ratio2 = torch.nn.Parameter(torch.tensor(ratio2), requires_grad=False)
self.tau = torch.nn.Parameter(torch.tensor(0.0), requires_grad=True)
### Implementation according to the paper
# self.views_linears = nn.ModuleList(
# [nn.Linear(input_ch_views + W, W//2)] + [nn.Linear(W//2, W//2) for i in range(D//2)])
if use_viewdirs:
self.feature_linear = nn.Linear(W, W)
self.alpha_linear = nn.Linear(W, 1)
self.rgb_linear = nn.Linear(W // 2, 3)
else:
self.output_linear = nn.Linear(W, output_ch)
def forward(self, x):
input_pts, input_views = torch.split(x, [self.input_ch, self.input_ch_views], dim=-1)
h = input_pts
for i, l in enumerate(self.pts_linears):
h = self.pts_linears[i](h)
h = F.relu(h)
if i in self.skips:
h = torch.cat([input_pts, h], -1)
if self.use_viewdirs:
alpha = self.alpha_linear(h)
alpha = torch.tanh(alpha / self.ratio) * self.ratio * self.ratio2
step = 1
u, ss = 0, 0
for i in range(step):
u = torch.sigmoid(self.tau) * u + alpha
spike = Threshold_grad.apply(u, self.threshold_2)
ss = ss + spike
u = u - spike.detach()
alpha = ss / step
feature = self.feature_linear(h)
h = torch.cat([feature, input_views], -1)
for i, l in enumerate(self.views_linears):
h = self.views_linears[i](h)
h = F.relu(h)
rgb = self.rgb_linear(h)
outputs = torch.cat([rgb, alpha], -1)
else:
outputs = self.output_linear(h)
return outputs
def init(self):
for m in self.modules():
if isinstance(m, torch.nn.Linear):
torch.nn.init.kaiming_normal_(m.weight, mode='fan_in')
def add_dimention(x, T):
x.unsqueeze_(0)
x = x.repeat(T, 1, 1)
return x
class SeqToANNContainer(nn.Module):
def __init__(self, *args):
super().__init__()
if len(args) == 1:
self.module = args[0]
else:
self.module = nn.Sequential(*args)
def forward(self, x_seq: torch.Tensor):
y_shape = [x_seq.shape[0], x_seq.shape[1]]
y_seq = self.module(x_seq.flatten(0, 1).contiguous())
y_shape.extend(y_seq.shape[1:])
return y_seq.view(y_shape)
# Ray helpers
def get_rays(H, W, K, c2w):
i, j = torch.meshgrid(torch.linspace(0, W - 1, W),
torch.linspace(0, H - 1, H), indexing='ij') # pytorch's meshgrid has indexing='ij'
i = i.t()
j = j.t()
dirs = torch.stack([(i + 0.5 - K[0][2]) / K[0][0], -(j + 0.5 - K[1][2]) / K[1][1], -torch.ones_like(i)], -1)
# print(dirs)
# Rotate ray directions from camera frame to the world frame
rays_d = torch.sum(dirs[..., np.newaxis, :] * c2w[:3, :3],
-1) # dot product, equals to: [c2w.dot(dir) for dir in dirs]
# Translate camera frame's origin to the world frame. It is the origin of all rays.
rays_o = c2w[:3, -1].expand(rays_d.shape)
return rays_o, rays_d
def get_rays_np(H, W, K, c2w):
i, j = np.meshgrid(np.arange(W, dtype=np.float32), np.arange(H, dtype=np.float32), indexing='xy')
dirs = np.stack([(i + 0.5 - K[0][2]) / K[0][0], -(j + 0.5 - K[1][2]) / K[1][1], -np.ones_like(i)], -1)
# print(K)
# print(dirs, i, j)
# Rotate ray directions from camera frame to the world frame
rays_d = np.sum(dirs[..., np.newaxis, :] * c2w[:3, :3],
-1) # dot product, equals to: [c2w.dot(dir) for dir in dirs]
# Translate camera frame's origin to the world frame. It is the origin of all rays.
rays_o = np.broadcast_to(c2w[:3, -1], np.shape(rays_d))
return rays_o, rays_d
def ndc_rays(H, W, focal, near, rays_o, rays_d):
# Shift ray origins to near plane
t = -(near + rays_o[..., 2]) / rays_d[..., 2]
rays_o = rays_o + t[..., None] * rays_d
# Projection
o0 = -1. / (W / (2. * focal)) * rays_o[..., 0] / rays_o[..., 2]
o1 = -1. / (H / (2. * focal)) * rays_o[..., 1] / rays_o[..., 2]
o2 = 1. + 2. * near / rays_o[..., 2]
d0 = -1. / (W / (2. * focal)) * (rays_d[..., 0] / rays_d[..., 2] - rays_o[..., 0] / rays_o[..., 2])
d1 = -1. / (H / (2. * focal)) * (rays_d[..., 1] / rays_d[..., 2] - rays_o[..., 1] / rays_o[..., 2])
d2 = -2. * near / rays_o[..., 2]
rays_o = torch.stack([o0, o1, o2], -1)
rays_d = torch.stack([d0, d1, d2], -1)
return rays_o, rays_d
# Hierarchical sampling (section 5.2)
def sample_pdf(bins, weights, N_samples, det=False, pytest=False):
# Get pdf
weights = weights + 1e-5 # prevent nans
pdf = weights / torch.sum(weights, -1, keepdim=True)
cdf = torch.cumsum(pdf, -1)
cdf = torch.cat([torch.zeros_like(cdf[..., :1]), cdf], -1) # (batch, len(bins))
# Take uniform samples
if det:
u = torch.linspace(0., 1., steps=N_samples)
u = u.expand(list(cdf.shape[:-1]) + [N_samples])
else:
u = torch.rand(list(cdf.shape[:-1]) + [N_samples])
# Pytest, overwrite u with numpy's fixed random numbers
if pytest:
np.random.seed(0)
new_shape = list(cdf.shape[:-1]) + [N_samples]
if det:
u = np.linspace(0., 1., N_samples)
u = np.broadcast_to(u, new_shape)
else:
u = np.random.rand(*new_shape)
u = torch.Tensor(u)
# Invert CDF
u = u.contiguous()
inds = torch.searchsorted(cdf, u, right=True)
below = torch.max(torch.zeros_like(inds - 1), inds - 1)
above = torch.min((cdf.shape[-1] - 1) * torch.ones_like(inds), inds)
inds_g = torch.stack([below, above], -1) # (batch, N_samples, 2)
# cdf_g = tf.gather(cdf, inds_g, axis=-1, batch_dims=len(inds_g.shape)-2)
# bins_g = tf.gather(bins, inds_g, axis=-1, batch_dims=len(inds_g.shape)-2)
matched_shape = [inds_g.shape[0], inds_g.shape[1], cdf.shape[-1]]
cdf_g = torch.gather(cdf.unsqueeze(1).expand(matched_shape), 2, inds_g)
bins_g = torch.gather(bins.unsqueeze(1).expand(matched_shape), 2, inds_g)
denom = (cdf_g[..., 1] - cdf_g[..., 0])
denom = torch.where(denom < 1e-5, torch.ones_like(denom), denom)
t = (u - cdf_g[..., 0]) / denom
samples = bins_g[..., 0] + t * (bins_g[..., 1] - bins_g[..., 0])
return samples