NeRF / app.py
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import streamlit as st
import tensorflow as tf
import numpy as np
# Setting random seed to obtain reproducible results.
tf.random.set_seed(42)
# Initialize global variables.
AUTO = tf.data.AUTOTUNE
BATCH_SIZE = 1
NUM_SAMPLES = 32
POS_ENCODE_DIMS = 16
EPOCHS = 20
H = 100
W = 100
focal = 138.88
def encode_position(x):
"""Encodes the position into its corresponding Fourier feature.
Args:
x: The input coordinate.
Returns:
Fourier features tensors of the position.
"""
positions = [x]
for i in range(POS_ENCODE_DIMS):
for fn in [tf.sin, tf.cos]:
positions.append(fn(2.0 ** i * x))
return tf.concat(positions, axis=-1)
def get_rays(height, width, focal, pose):
"""Computes origin point and direction vector of rays.
Args:
height: Height of the image.
width: Width of the image.
focal: The focal length between the images and the camera.
pose: The pose matrix of the camera.
Returns:
Tuple of origin point and direction vector for rays.
"""
# Build a meshgrid for the rays.
i, j = tf.meshgrid(
tf.range(width, dtype=tf.float32),
tf.range(height, dtype=tf.float32),
indexing="xy",
)
# Normalize the x axis coordinates.
transformed_i = (i - width * 0.5) / focal
# Normalize the y axis coordinates.
transformed_j = (j - height * 0.5) / focal
# Create the direction unit vectors.
directions = tf.stack([transformed_i, -transformed_j, -tf.ones_like(i)], axis=-1)
# Get the camera matrix.
camera_matrix = pose[:3, :3]
height_width_focal = pose[:3, -1]
# Get origins and directions for the rays.
transformed_dirs = directions[..., None, :]
camera_dirs = transformed_dirs * camera_matrix
ray_directions = tf.reduce_sum(camera_dirs, axis=-1)
ray_origins = tf.broadcast_to(height_width_focal, tf.shape(ray_directions))
# Return the origins and directions.
return (ray_origins, ray_directions)
def render_flat_rays(ray_origins, ray_directions, near, far, num_samples, rand=False):
"""Renders the rays and flattens it.
Args:
ray_origins: The origin points for rays.
ray_directions: The direction unit vectors for the rays.
near: The near bound of the volumetric scene.
far: The far bound of the volumetric scene.
num_samples: Number of sample points in a ray.
rand: Choice for randomising the sampling strategy.
Returns:
Tuple of flattened rays and sample points on each rays.
"""
# Compute 3D query points.
# Equation: r(t) = o+td -> Building the "t" here.
t_vals = tf.linspace(near, far, num_samples)
if rand:
# Inject uniform noise into sample space to make the sampling
# continuous.
shape = list(ray_origins.shape[:-1]) + [num_samples]
noise = tf.random.uniform(shape=shape) * (far - near) / num_samples
t_vals = t_vals + noise
# Equation: r(t) = o + td -> Building the "r" here.
rays = ray_origins[..., None, :] + (
ray_directions[..., None, :] * t_vals[..., None]
)
rays_flat = tf.reshape(rays, [-1, 3])
rays_flat = encode_position(rays_flat)
return (rays_flat, t_vals)
def map_fn(pose):
"""Maps individual pose to flattened rays and sample points.
Args:
pose: The pose matrix of the camera.
Returns:
Tuple of flattened rays and sample points corresponding to the
camera pose.
"""
(ray_origins, ray_directions) = get_rays(height=H, width=W, focal=focal, pose=pose)
(rays_flat, t_vals) = render_flat_rays(
ray_origins=ray_origins,
ray_directions=ray_directions,
near=2.0,
far=6.0,
num_samples=NUM_SAMPLES,
rand=True,
)
return (rays_flat, t_vals)
def render_rgb_depth(model, rays_flat, t_vals, rand=True, train=True):
"""Generates the RGB image and depth map from model prediction.
Args:
model: The MLP model that is trained to predict the rgb and
volume density of the volumetric scene.
rays_flat: The flattened rays that serve as the input to
the NeRF model.
t_vals: The sample points for the rays.
rand: Choice to randomise the sampling strategy.
train: Whether the model is in the training or testing phase.
Returns:
Tuple of rgb image and depth map.
"""
# Get the predictions from the nerf model and reshape it.
if train:
predictions = model(rays_flat)
else:
predictions = model.predict(rays_flat)
predictions = tf.reshape(predictions, shape=(BATCH_SIZE, H, W, NUM_SAMPLES, 4))
# Slice the predictions into rgb and sigma.
rgb = tf.sigmoid(predictions[..., :-1])
sigma_a = tf.nn.relu(predictions[..., -1])
# Get the distance of adjacent intervals.
delta = t_vals[..., 1:] - t_vals[..., :-1]
# delta shape = (num_samples)
if rand:
delta = tf.concat(
[delta, tf.broadcast_to([1e10], shape=(BATCH_SIZE, H, W, 1))], axis=-1
)
alpha = 1.0 - tf.exp(-sigma_a * delta)
else:
delta = tf.concat(
[delta, tf.broadcast_to([1e10], shape=(BATCH_SIZE, 1))], axis=-1
)
alpha = 1.0 - tf.exp(-sigma_a * delta[:, None, None, :])
# Get transmittance.
exp_term = 1.0 - alpha
epsilon = 1e-10
transmittance = tf.math.cumprod(exp_term + epsilon, axis=-1, exclusive=True)
weights = alpha * transmittance
rgb = tf.reduce_sum(weights[..., None] * rgb, axis=-2)
if rand:
depth_map = tf.reduce_sum(weights * t_vals, axis=-1)
else:
depth_map = tf.reduce_sum(weights * t_vals[:, None, None], axis=-1)
return (rgb, depth_map)
def get_translation_t(t):
"""Get the translation matrix for movement in t."""
matrix = [
[1, 0, 0, 0],
[0, 1, 0, 0],
[0, 0, 1, t],
[0, 0, 0, 1],
]
return tf.convert_to_tensor(matrix, dtype=tf.float32)
def get_rotation_phi(phi):
"""Get the rotation matrix for movement in phi."""
matrix = [
[1, 0, 0, 0],
[0, tf.cos(phi), -tf.sin(phi), 0],
[0, tf.sin(phi), tf.cos(phi), 0],
[0, 0, 0, 1],
]
return tf.convert_to_tensor(matrix, dtype=tf.float32)
def get_rotation_theta(theta):
"""Get the rotation matrix for movement in theta."""
matrix = [
[tf.cos(theta), 0, -tf.sin(theta), 0],
[0, 1, 0, 0],
[tf.sin(theta), 0, tf.cos(theta), 0],
[0, 0, 0, 1],
]
return tf.convert_to_tensor(matrix, dtype=tf.float32)
def pose_spherical(theta, phi, t):
"""
Get the camera to world matrix for the corresponding theta, phi
and t.
"""
c2w = get_translation_t(t)
c2w = get_rotation_phi(phi / 180.0 * np.pi) @ c2w
c2w = get_rotation_theta(theta / 180.0 * np.pi) @ c2w
c2w = np.array([[-1, 0, 0, 0], [0, 0, 1, 0], [0, 1, 0, 0], [0, 0, 0, 1]]) @ c2w
return c2w
def show_rendered_image(r,theta,phi):
# Get the camera to world matrix.
c2w = pose_spherical(theta, phi, r)
ray_oris, ray_dirs = get_rays(H, W, focal, c2w)
rays_flat, t_vals = render_flat_rays(
ray_oris, ray_dirs, near=2.0, far=6.0, num_samples=NUM_SAMPLES, rand=False
)
rgb, depth = render_rgb_depth(
nerf_loaded, rays_flat[None, ...], t_vals[None, ...], rand=False, train=False
)
return(rgb[0], depth[0])
# app.py text matter starts here
st.title('NeRF:3D volumetric rendering with NeRF')
st.markdown("Authors: [Aritra Roy Gosthipathy](https://twitter.com/ariG23498) and [Ritwik Raha](https://twitter.com/ritwik_raha)")
st.markdown("## Description")
st.markdown("[NeRF](https://arxiv.org/abs/2003.08934) proposes an ingenious way to synthesize novel views of a scene by modelling the volumetric scene function through a neural network.")
st.markdown("## Interactive Demo")
# load the pre-trained model
nerf_loaded = tf.keras.models.load_model("nerf", compile=False)
# set the values of r theta phi
r = 4.0
theta = st.slider("Enter a value for Θ:", min_value=0.0, max_value=360.0)
phi = -30.0
color, depth = show_rendered_image(r, theta, phi)
col1, col2= st.columns(2)
with col1:
color = tf.keras.utils.array_to_img(color)
st.image(color, caption="Color Image", clamp=True, width=300)
with col2:
depth = tf.keras.utils.array_to_img(depth[..., None])
st.image(depth, caption="Depth Map", clamp=True, width=300)
st.markdown("## Tutorials")
st.markdown("- [Keras](https://keras.io/examples/vision/nerf/)")
st.markdown("- [PyImageSearch NeRF 1](https://www.pyimagesearch.com/2021/11/10/computer-graphics-and-deep-learning-with-nerf-using-tensorflow-and-keras-part-1/)")
st.markdown("- [PyImageSearch NeRF 2](https://www.pyimagesearch.com/2021/11/17/computer-graphics-and-deep-learning-with-nerf-using-tensorflow-and-keras-part-2/)")
st.markdown("- [PyImageSearch NeRF 3](https://www.pyimagesearch.com/2021/11/24/computer-graphics-and-deep-learning-with-nerf-using-tensorflow-and-keras-part-3/)")
st.markdown("## Credits")
st.markdown("- [PyImageSearch](https://www.pyimagesearch.com/)")
st.markdown("- [JarvisLabs.ai GPU credits](https://jarvislabs.ai/)")