Built on

Symbolic matrix derivatives
PS Dwyer and MS McPhail · 1948
Earlier work this paper cites.
Ewa splatting
Matthias Zwicker, Hanspeter Pfister, Jeroen Van Baar, and Markus Gross · 2002
Earlier work this paper cites.

Similar

An extended collection of matrix derivative results for forward and reverse mode automatic differentiation
Mike Giles · 2008
Cited alongside, same era.
The matrix cookbook
Kaare Brandt Petersen, Michael Syskind Pedersen, et al · 2008
Cited alongside, same era.

Then

3d gaussian splatting for real-time radiance field rendering
Bernhard Kerbl, Georgios Kopanas, Thomas Leimkühler, and George Drettakis · 2023
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2023

Mathematical Supplement for the $\texttt{gsplat}$ Library

Ye, Vickie, Kanazawa, Angjoo

Understand

This report provides the mathematical details of the gsplat library, a modular toolbox for efficient differentiable Gaussian splatting, as proposed by Kerbl et al.

It provides a self-contained reference for the computations involved in the forward and backward passes of differentiable Gaussian splatting.
To facilitate practical usage and development, we provide a user friendly Python API that exposes each component of the forward and backward passes in rasterization at github.com/nerfstudio-project/gsplat .