BIOMEDICAL IMAGING GROUP (BIG)
Laboratoire d'imagerie biomédicale (LIB)

Generalized Ray Tracing with Basis Functions for Tomographic Projections

Y. Haouchat, S. Kashani, P. Thévenaz, M. Unser

IEEE Transactions on Computational Imaging, vol. 11, pp. 1294–1305, 2025.

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 to maximize the image quality for a given resolution of the reconstruction grid. 

@ARTICLE(http://bigwww.epfl.ch/publications/haouchat2501.html,
AUTHOR="Haouchat, Y. and Kashani, S. and Th{\'{e}}venaz, P. and Unser,
	M.",
TITLE="Generalized Ray Tracing with Basis Functions for Tomographic
	Projections",
JOURNAL="{IEEE} Transactions on Computational Imaging",
YEAR="2025",
volume="11",
number="",
pages="1294--1305",
month="",
note="")

© 2025 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from IEEE. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.