  Differentiable volumetric rendering-based methods made significant progress
in novel view synthesis. On one hand, innovative methods have replaced the
Neural Radiance Fields (NeRF) network with locally parameterized structures,
enabling high-quality renderings in a reasonable time. On the other hand,
approaches have used differentiable splatting instead of NeRF's ray casting to
optimize radiance fields rapidly using Gaussian kernels, allowing for fine
adaptation to the scene. However, differentiable ray casting of irregularly
spaced kernels has been scarcely explored, while splatting, despite enabling
fast rendering times, is susceptible to clearly visible artifacts.
  Our work closes this gap by providing a physically consistent formulation of
the emitted radiance c and density {\sigma}, decomposed with Gaussian functions
associated with Spherical Gaussians/Harmonics for all-frequency colorimetric
representation. We also introduce a method enabling differentiable ray casting
of irregularly distributed Gaussians using an algorithm that integrates
radiance fields slab by slab and leverages a BVH structure. This allows our
approach to finely adapt to the scene while avoiding splatting artifacts. As a
result, we achieve superior rendering quality compared to the state-of-the-art
while maintaining reasonable training times and achieving inference speeds of
25 FPS on the Blender dataset. Project page with videos and code:
https://raygauss.github.io/
