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import os
import sys
import tensorflow as tf
import numpy as np
import imageio
import json
# Misc utils
def img2mse(x, y): return tf.reduce_mean(tf.square(x - y))
def mse2psnr(x): return -10.*tf.log(x)/tf.log(10.)
def to8b(x): return (255*np.clip(x, 0, 1)).astype(np.uint8)
# Positional encoding
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.**tf.linspace(0., max_freq, N_freqs)
else:
freq_bands = tf.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 tf.concat([fn(inputs) for fn in self.embed_fns], -1)
def get_embedder(multires, i=0):
if i == -1:
return tf.identity, 3
embed_kwargs = {
'include_input': True,
'input_dims': 3,
'max_freq_log2': multires-1,
'num_freqs': multires,
'log_sampling': True,
'periodic_fns': [tf.math.sin, tf.math.cos],
}
embedder_obj = Embedder(**embed_kwargs)
def embed(x, eo=embedder_obj): return eo.embed(x)
return embed, embedder_obj.out_dim
# Model architecture
def init_nerf_model(D=8, W=256, input_ch=3, input_ch_views=3, output_ch=4, skips=[4], use_viewdirs=False):
relu = tf.keras.layers.ReLU()
def dense(W, act=relu): return tf.keras.layers.Dense(W, activation=act)
print('MODEL', input_ch, input_ch_views, type(
input_ch), type(input_ch_views), use_viewdirs)
input_ch = int(input_ch)
input_ch_views = int(input_ch_views)
inputs = tf.keras.Input(shape=(input_ch + input_ch_views))
inputs_pts, inputs_views = tf.split(inputs, [input_ch, input_ch_views], -1)
inputs_pts.set_shape([None, input_ch])
inputs_views.set_shape([None, input_ch_views])
print(inputs.shape, inputs_pts.shape, inputs_views.shape)
outputs = inputs_pts
for i in range(D):
outputs = dense(W)(outputs)
if i in skips:
outputs = tf.concat([inputs_pts, outputs], -1)
if use_viewdirs:
alpha_out = dense(1, act=None)(outputs)
bottleneck = dense(256, act=None)(outputs)
inputs_viewdirs = tf.concat(
[bottleneck, inputs_views], -1) # concat viewdirs
# The supplement to the paper states there are 4 hidden layers here, but this is an error since
# the experiments were actually run with 1 hidden layer, so we will leave it as 1.
for i in range(1):
outputs = dense(W//2)(outputs)
outputs = dense(3, act=None)(outputs)
outputs = tf.concat([outputs, alpha_out], -1)
else:
outputs = dense(output_ch, act=None)(outputs)
model = tf.keras.Model(inputs=inputs, outputs=outputs)
return model
# Ray helpers
def get_rays(H, W, focal, c2w):
"""Get ray origins, directions from a pinhole camera."""
i, j = tf.meshgrid(tf.range(W, dtype=tf.float32),
tf.range(H, dtype=tf.float32), indexing='xy')
dirs = tf.stack([(i-W*.5)/focal, -(j-H*.5)/focal, -tf.ones_like(i)], -1)
rays_d = tf.reduce_sum(dirs[..., np.newaxis, :] * c2w[:3, :3], -1)
rays_o = tf.broadcast_to(c2w[:3, -1], tf.shape(rays_d))
return rays_o, rays_d
def get_rays_np(H, W, focal, c2w):
"""Get ray origins, directions from a pinhole camera."""
i, j = np.meshgrid(np.arange(W, dtype=np.float32),
np.arange(H, dtype=np.float32), indexing='xy')
dirs = np.stack([(i-W*.5)/focal, -(j-H*.5)/focal, -np.ones_like(i)], -1)
rays_d = np.sum(dirs[..., np.newaxis, :] * c2w[:3, :3], -1)
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):
"""Normalized device coordinate rays.
Space such that the canvas is a cube with sides [-1, 1] in each axis.
Args:
H: int. Height in pixels.
W: int. Width in pixels.
focal: float. Focal length of pinhole camera.
near: float or array of shape[batch_size]. Near depth bound for the scene.
rays_o: array of shape [batch_size, 3]. Camera origin.
rays_d: array of shape [batch_size, 3]. Ray direction.
Returns:
rays_o: array of shape [batch_size, 3]. Camera origin in NDC.
rays_d: array of shape [batch_size, 3]. Ray direction in NDC.
"""
# 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 = tf.stack([o0, o1, o2], -1)
rays_d = tf.stack([d0, d1, d2], -1)
return rays_o, rays_d
# Hierarchical sampling helper
def sample_pdf(bins, weights, N_samples, det=False):
# Get pdf
weights += 1e-5 # prevent nans
pdf = weights / tf.reduce_sum(weights, -1, keepdims=True)
cdf = tf.cumsum(pdf, -1)
cdf = tf.concat([tf.zeros_like(cdf[..., :1]), cdf], -1)
# Take uniform samples
if det:
u = tf.linspace(0., 1., N_samples)
u = tf.broadcast_to(u, list(cdf.shape[:-1]) + [N_samples])
else:
u = tf.random.uniform(list(cdf.shape[:-1]) + [N_samples])
# Invert CDF
inds = tf.searchsorted(cdf, u, side='right')
below = tf.maximum(0, inds-1)
above = tf.minimum(cdf.shape[-1]-1, inds)
inds_g = tf.stack([below, above], -1)
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)
denom = (cdf_g[..., 1]-cdf_g[..., 0])
denom = tf.where(denom < 1e-5, tf.ones_like(denom), denom)
t = (u-cdf_g[..., 0])/denom
samples = bins_g[..., 0] + t * (bins_g[..., 1]-bins_g[..., 0])
return samples
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