22. GPU & Neural Representations

The frontier of computational geometry converges with massively parallel GPU hardware and deep learning. This chapter investigates Morton space-filling curves, parallel Linear BVH (LBVH) construction, Fourier positional encoding in Neural Radiance Fields (NeRF), and real-time 3D Gaussian Splatting (3DGS).

1. GPU Morton Codes & LBVH — Interactive geometrical visualization of Morton Z-order curves and parallel GPU radix tree BVHs.
2. NeRF & 3D Gaussian Splatting — Interactive geometrical visualization of NeRF positional encoding and 3D Gaussian Splatting ellipsoids.