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NeRF: Neural Radiance Fields

This project provides one of the most simplified implementation of the famous Neural Radiance Fields paper "NeRF Representing Scenes as Neural Radiance Fields for View Synthesis".

Overview:

1. Images' Ray Computation:

  • Determine the origins and directions for each camera frame concerning the world coordinate frame.
  • Develop a function (get_rays()) to return the origins and directions for rays of an image.
  • Visualize the entire data setup using plot_all_poses().

2. Ray Sampling:

  • Sample points along a ray using the equation ( r = o + t \cdot d ).
  • Implement stratified_sampling() to generate points from each ray.

3. NeRF MLP Design:

  • Design a neural network as per the NeRF paper to map the position and direction of a point along a ray to its color and density.
  • Complete nerf_model() and the data preparation function get_batch().

4. Volume Rendering:

  • Use the volumetric rendering formula from the NeRF paper to approximate pixel colors based on sampled point colors and densities along a ray.
  • Implement the volumetric_rendering() function to calculate the final color for each ray.

5. Image Rendering:

  • Integrate all prior steps in the function one_forward_pass() to render a complete image from a dataset.

6. Training:

  • Set up a training loop with predefined hyperparameters.
  • Utilize the Adam optimizer and mean square error for training.
  • Aim for a PSNR of 25 after 3,000 iterations.

Result

URL_OF_THE_IMAGE

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