End-to-End Differentiable Photon Counting CT

Fuente: arXiv
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Autores principales: Wang, Sen, Yang, Yirong, Lee, Jooho, Stevens, Grant M., Wang, Adam S.
Formato: Preprint
Publicado: 2026
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author Wang, Sen
Yang, Yirong
Lee, Jooho
Stevens, Grant M.
Wang, Adam S.
author_facet Wang, Sen
Yang, Yirong
Lee, Jooho
Stevens, Grant M.
Wang, Adam S.
contents Quantitative imaging is an important feature of spectral X-ray and CT systems, especially photon-counting CT (PCCT) imaging systems, which is achieved through material decomposition (MD) using spectral measurements. In this work, we present a novel framework that makes the PCCT imaging chain end-to-end differentiable (differentiable PCCT), with which we can leverage quantitative information in the image domain to enable cross-domain learning and optimization for upstream models. Specifically, the material decomposition from maximum-likelihood estimation (MLE) was made differentiable based on the Implicit Function Theorem and inserted as a layer into the imaging chain for end-to-end optimization. This framework allows for an automatic and adaptive solution of a wide range of imaging tasks, ultimately achieving quantitative imaging through computation rather than manual intervention. The end-to-end training mechanism effectively avoids the need for direct-domain training or supervision from intermediate references as models are trained using quantitative images. We demonstrate its applicability in two representative tasks: correcting detector energy bin drift and training an object scatter correction network using cross-domain reference from quantitative material images.
format Preprint
id arxiv_https___arxiv_org_abs_2602_11497
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle End-to-End Differentiable Photon Counting CT
Wang, Sen
Yang, Yirong
Lee, Jooho
Stevens, Grant M.
Wang, Adam S.
Medical Physics
Image and Video Processing
Quantitative imaging is an important feature of spectral X-ray and CT systems, especially photon-counting CT (PCCT) imaging systems, which is achieved through material decomposition (MD) using spectral measurements. In this work, we present a novel framework that makes the PCCT imaging chain end-to-end differentiable (differentiable PCCT), with which we can leverage quantitative information in the image domain to enable cross-domain learning and optimization for upstream models. Specifically, the material decomposition from maximum-likelihood estimation (MLE) was made differentiable based on the Implicit Function Theorem and inserted as a layer into the imaging chain for end-to-end optimization. This framework allows for an automatic and adaptive solution of a wide range of imaging tasks, ultimately achieving quantitative imaging through computation rather than manual intervention. The end-to-end training mechanism effectively avoids the need for direct-domain training or supervision from intermediate references as models are trained using quantitative images. We demonstrate its applicability in two representative tasks: correcting detector energy bin drift and training an object scatter correction network using cross-domain reference from quantitative material images.
title End-to-End Differentiable Photon Counting CT
topic Medical Physics
Image and Video Processing
url https://arxiv.org/abs/2602.11497