4D Gaussian Splat State Space Model

A comprehensive simulation tool that leverages an 8-dimensional constant-velocity state space to dynamically evolve and render complex 4-dimensional Gaussian splats. This model updates Gaussian centers based on velocity, computes spatial covariances for accurate Gaussian evaluations, and projects the results onto a 4D canvas. It supports interactive 2D slicing via ipywidgets as well as a maximum intensity projection for static visualization with matplotlib. Designed for scientific computing, dynamic system analysis, and hackathon projects, this engine uses PyTorch for efficient tensor computations and offers robust handling of high-dimensional data, complete with advanced fallback mechanisms for numerical stability.,