Spaces:
Runtime error
Runtime error
Update app.py
Browse files
app.py
CHANGED
|
@@ -17,180 +17,6 @@ H = 25
|
|
| 17 |
W = 25
|
| 18 |
focal = 0.6911112070083618
|
| 19 |
|
| 20 |
-
def encode_position(x):
|
| 21 |
-
"""Encodes the position into its corresponding Fourier feature.
|
| 22 |
-
Args:
|
| 23 |
-
x: The input coordinate.
|
| 24 |
-
Returns:
|
| 25 |
-
Fourier features tensors of the position.
|
| 26 |
-
"""
|
| 27 |
-
positions = [x]
|
| 28 |
-
for i in range(POS_ENCODE_DIMS):
|
| 29 |
-
for fn in [tf.sin, tf.cos]:
|
| 30 |
-
positions.append(fn(2.0 ** i * x))
|
| 31 |
-
return tf.concat(positions, axis=-1)
|
| 32 |
-
|
| 33 |
-
|
| 34 |
-
def get_rays(height, width, focal, pose):
|
| 35 |
-
"""Computes origin point and direction vector of rays.
|
| 36 |
-
Args:
|
| 37 |
-
height: Height of the image.
|
| 38 |
-
width: Width of the image.
|
| 39 |
-
focal: The focal length between the images and the camera.
|
| 40 |
-
pose: The pose matrix of the camera.
|
| 41 |
-
Returns:
|
| 42 |
-
Tuple of origin point and direction vector for rays.
|
| 43 |
-
"""
|
| 44 |
-
# Build a meshgrid for the rays.
|
| 45 |
-
i, j = tf.meshgrid(
|
| 46 |
-
tf.range(width, dtype=tf.float32),
|
| 47 |
-
tf.range(height, dtype=tf.float32),
|
| 48 |
-
indexing="xy",
|
| 49 |
-
)
|
| 50 |
-
|
| 51 |
-
# Normalize the x axis coordinates.
|
| 52 |
-
transformed_i = (i - width * 0.5) / focal
|
| 53 |
-
|
| 54 |
-
# Normalize the y axis coordinates.
|
| 55 |
-
transformed_j = (j - height * 0.5) / focal
|
| 56 |
-
|
| 57 |
-
# Create the direction unit vectors.
|
| 58 |
-
directions = tf.stack([transformed_i, -transformed_j, -tf.ones_like(i)], axis=-1)
|
| 59 |
-
|
| 60 |
-
# Get the camera matrix.
|
| 61 |
-
camera_matrix = pose[:3, :3]
|
| 62 |
-
height_width_focal = pose[:3, -1]
|
| 63 |
-
|
| 64 |
-
# Get origins and directions for the rays.
|
| 65 |
-
transformed_dirs = directions[..., None, :]
|
| 66 |
-
camera_dirs = transformed_dirs * camera_matrix
|
| 67 |
-
ray_directions = tf.reduce_sum(camera_dirs, axis=-1)
|
| 68 |
-
ray_origins = tf.broadcast_to(height_width_focal, tf.shape(ray_directions))
|
| 69 |
-
|
| 70 |
-
# Return the origins and directions.
|
| 71 |
-
return (ray_origins, ray_directions)
|
| 72 |
-
|
| 73 |
-
|
| 74 |
-
def render_flat_rays(ray_origins, ray_directions, near, far, num_samples, rand=False):
|
| 75 |
-
|
| 76 |
-
"""Renders the rays and flattens it.
|
| 77 |
-
|
| 78 |
-
Args:
|
| 79 |
-
ray_origins: The origin points for rays.
|
| 80 |
-
ray_directions: The direction unit vectors for the rays.
|
| 81 |
-
near: The near bound of the volumetric scene.
|
| 82 |
-
far: The far bound of the volumetric scene.
|
| 83 |
-
num_samples: Number of sample points in a ray.
|
| 84 |
-
rand: Choice for randomising the sampling strategy.
|
| 85 |
-
|
| 86 |
-
Returns:
|
| 87 |
-
Tuple of flattened rays and sample points on each rays.
|
| 88 |
-
"""
|
| 89 |
-
|
| 90 |
-
# Compute 3D query points.
|
| 91 |
-
# Equation: r(t) = o+td -> Building the "t" here.
|
| 92 |
-
|
| 93 |
-
t_vals = tf.linspace(near, far, num_samples)
|
| 94 |
-
|
| 95 |
-
if rand:
|
| 96 |
-
|
| 97 |
-
# Inject uniform noise into sample space to make the sampling
|
| 98 |
-
# continuous.
|
| 99 |
-
shape = list(ray_origins.shape[:-1]) + [num_samples]
|
| 100 |
-
noise = tf.random.uniform(shape=shape) * (far - near) / num_samples
|
| 101 |
-
t_vals = t_vals + noise
|
| 102 |
-
|
| 103 |
-
# Equation: r(t) = o + td -> Building the "r" here.
|
| 104 |
-
|
| 105 |
-
rays = ray_origins[..., None, :] + (
|
| 106 |
-
ray_directions[..., None, :] * t_vals[..., None]
|
| 107 |
-
)
|
| 108 |
-
rays_flat = tf.reshape(rays, [-1, 3])
|
| 109 |
-
rays_flat = encode_position(rays_flat)
|
| 110 |
-
return (rays_flat, t_vals)
|
| 111 |
-
|
| 112 |
-
|
| 113 |
-
def map_fn(pose):
|
| 114 |
-
|
| 115 |
-
"""Maps individual pose to flattened rays and sample points.
|
| 116 |
-
|
| 117 |
-
Args:
|
| 118 |
-
pose: The pose matrix of the camera.
|
| 119 |
-
|
| 120 |
-
Returns:
|
| 121 |
-
Tuple of flattened rays and sample points corresponding to the
|
| 122 |
-
camera pose.
|
| 123 |
-
"""
|
| 124 |
-
|
| 125 |
-
(ray_origins, ray_directions) = get_rays(height=H, width=W, focal=focal, pose=pose)
|
| 126 |
-
(rays_flat, t_vals) = render_flat_rays(
|
| 127 |
-
ray_origins=ray_origins,
|
| 128 |
-
ray_directions=ray_directions,
|
| 129 |
-
near=2.0,
|
| 130 |
-
far=6.0,
|
| 131 |
-
num_samples=NUM_SAMPLES,
|
| 132 |
-
rand=True,
|
| 133 |
-
)
|
| 134 |
-
|
| 135 |
-
return (rays_flat, t_vals)
|
| 136 |
-
|
| 137 |
-
|
| 138 |
-
def render_rgb_depth(model, rays_flat, t_vals, rand=True, train=True):
|
| 139 |
-
|
| 140 |
-
"""Generates the RGB image and depth map from model prediction.
|
| 141 |
-
|
| 142 |
-
Args:
|
| 143 |
-
model: The MLP model that is trained to predict the rgb and
|
| 144 |
-
volume density of the volumetric scene.
|
| 145 |
-
rays_flat: The flattened rays that serve as the input to
|
| 146 |
-
the NeRF model.
|
| 147 |
-
t_vals: The sample points for the rays.
|
| 148 |
-
rand: Choice to randomise the sampling strategy.
|
| 149 |
-
train: Whether the model is in the training or testing phase.
|
| 150 |
-
|
| 151 |
-
Returns:
|
| 152 |
-
Tuple of rgb image and depth map.
|
| 153 |
-
"""
|
| 154 |
-
|
| 155 |
-
# Get the predictions from the nerf model and reshape it.
|
| 156 |
-
if train:
|
| 157 |
-
predictions = model(rays_flat)
|
| 158 |
-
else:
|
| 159 |
-
predictions = model.predict(rays_flat)
|
| 160 |
-
predictions = tf.reshape(predictions, shape=(BATCH_SIZE, H, W, NUM_SAMPLES, 4))
|
| 161 |
-
|
| 162 |
-
# Slice the predictions into rgb and sigma.
|
| 163 |
-
rgb = tf.sigmoid(predictions[..., :-1])
|
| 164 |
-
sigma_a = tf.nn.relu(predictions[..., -1])
|
| 165 |
-
|
| 166 |
-
# Get the distance of adjacent intervals.
|
| 167 |
-
delta = t_vals[..., 1:] - t_vals[..., :-1]
|
| 168 |
-
# delta shape = (num_samples)
|
| 169 |
-
|
| 170 |
-
if rand:
|
| 171 |
-
delta = tf.concat(
|
| 172 |
-
[delta, tf.broadcast_to([1e10], shape=(BATCH_SIZE, H, W, 1))], axis=-1
|
| 173 |
-
)
|
| 174 |
-
alpha = 1.0 - tf.exp(-sigma_a * delta)
|
| 175 |
-
else:
|
| 176 |
-
delta = tf.concat(
|
| 177 |
-
[delta, tf.broadcast_to([1e10], shape=(BATCH_SIZE, 1))], axis=-1
|
| 178 |
-
)
|
| 179 |
-
alpha = 1.0 - tf.exp(-sigma_a * delta[:, None, None, :])
|
| 180 |
-
|
| 181 |
-
# Get transmittance.
|
| 182 |
-
exp_term = 1.0 - alpha
|
| 183 |
-
epsilon = 1e-10
|
| 184 |
-
transmittance = tf.math.cumprod(exp_term + epsilon, axis=-1, exclusive=True)
|
| 185 |
-
weights = alpha * transmittance
|
| 186 |
-
rgb = tf.reduce_sum(weights[..., None] * rgb, axis=-2)
|
| 187 |
-
|
| 188 |
-
if rand:
|
| 189 |
-
depth_map = tf.reduce_sum(weights * t_vals, axis=-1)
|
| 190 |
-
else:
|
| 191 |
-
depth_map = tf.reduce_sum(weights * t_vals[:, None, None], axis=-1)
|
| 192 |
-
return (rgb, depth_map)
|
| 193 |
-
|
| 194 |
def show_rendered_image(r,theta,phi):
|
| 195 |
# Get the camera to world matrix.
|
| 196 |
c2w = pose_spherical(theta, phi, r)
|
|
|
|
| 17 |
W = 25
|
| 18 |
focal = 0.6911112070083618
|
| 19 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 20 |
def show_rendered_image(r,theta,phi):
|
| 21 |
# Get the camera to world matrix.
|
| 22 |
c2w = pose_spherical(theta, phi, r)
|