Robustness and Stability Analysis of Differentiable Shift-Variant FBP for Cone-Beam CT under Challenging Acquisition Settings
Chengze Ye1
, Linda-Sophie Schneider1
, Yipeng Sun1
, Mareike Thies1
, Siyuan Mei1
, Paula Andrea Pérez-Toro1
, Siming Bayer1
, Andreas Maier1
1: Pattern Recognition Lab, FAU Erlangen-Nürnberg
Publication date: 2026/07/02
https://doi.org/10.59275/j.melba.2026-252c
Abstract
The differentiable shift-variant filtered backprojection (SV-FBP) framework enables data-driven estimation of redundancy weights for cone-beam CT reconstruction under general source trajectories, removing the need for analytically derived weighting schemes. In this work, we present a systematic study of the robustness and adaptability of differentiable SV-FBP under challenging acquisition settings. We show that the framework remains stable across highly irregular and discontinuous trajectories, indicating that reconstruction performance is largely insensitive to trajectory ordering or continuity. Instead, the spatial distribution of sampling points plays a more dominant role. Under sparse-view conditions, differentiable SV-FBP achieves competitive reconstruction quality while providing an order-of-magnitude reduction in computation time compared to iterative reconstruction methods at moderate sampling densities. However, we identify a clear transition regime under severe undersampling, where the absence of iterative data consistency leads to performance degradation. Furthermore, we demonstrate that the framework remains applicable to non-planar multi-isocenter geometries, such as Lissajous-saddle trajectories, without requiring architectural modifications. These findings provide new insights into the behavior and limitations of the differentiable SV-FBP model and highlight it as a flexible and efficient solution for non-standard and robotic CBCT acquisition scenarios.
Keywords
CBCT Reconstruction · Deep Learning · Known Operator Learning · Non-Standard Trajectories
Bibtex
@article{melba:2026:014:ye,
title = "Robustness and Stability Analysis of Differentiable Shift-Variant FBP for Cone-Beam CT under Challenging Acquisition Settings",
author = "Ye, Chengze and Schneider, Linda-Sophie and Sun, Yipeng and Thies, Mareike and Mei, Siyuan and Pérez-Toro, Paula Andrea and Bayer, Siming and Maier, Andreas",
journal = "Machine Learning for Biomedical Imaging",
volume = "2026",
issue = "MELBA–BVM 2025 Special Issue",
year = "2026",
pages = "284--296",
issn = "2766-905X",
doi = "https://doi.org/10.59275/j.melba.2026-252c",
url = "https://melba-journal.org/2026:014"
}
RIS
TY - JOUR
AU - Ye, Chengze
AU - Schneider, Linda-Sophie
AU - Sun, Yipeng
AU - Thies, Mareike
AU - Mei, Siyuan
AU - Pérez-Toro, Paula Andrea
AU - Bayer, Siming
AU - Maier, Andreas
PY - 2026
TI - Robustness and Stability Analysis of Differentiable Shift-Variant FBP for Cone-Beam CT under Challenging Acquisition Settings
T2 - Machine Learning for Biomedical Imaging
VL - 2026
IS - MELBA–BVM 2025 Special Issue
SP - 284
EP - 296
SN - 2766-905X
DO - https://doi.org/10.59275/j.melba.2026-252c
UR - https://melba-journal.org/2026:014
ER -