# Generalized Ray Tracing with Basis functions for Tomographic Projections

arXiv: https://arxiv.org/abs/2503.20907 · HTML: https://mlsanity.com/paper/2503.20907/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 26 Mar 2025.

## Built on by (most cited first, 1 of 1)

- [SplineSplat: 3D Ray Tracing for Higher-Quality Tomography](https://mlsanity.com/paper/2511.11078/) (2025)

## Abstract (arXiv)

This work aims at the precise and efficient computation of the x-ray projection of an image represented by a linear combination of general shifted basis functions that typically overlap. We achieve this with a suitable adaptation of ray tracing, which is one of the most efficient methods to compute line integrals. In our work, the cases in which the image is expressed as a spline are of particular relevance. The proposed implementation is applicable to any projection geometry as it computes the forward and backward operators over a collection of arbitrary lines. We validate our work with experiments in the context of inverse problems for image reconstruction and maximize the image quality for a given resolution of the reconstruction grid.