Robustness and Stability Analysis of Differentiable Shift-Variant FBP for Cone-Beam CT under Challenging Acquisition Settings

Chengze Ye1Orcid, Linda-Sophie Schneider1Orcid, Yipeng Sun1Orcid, Mareike Thies1Orcid, Siyuan Mei1Orcid, Paula Andrea Pérez-Toro1Orcid, Siming Bayer1Orcid, Andreas Maier1Orcid
1: Pattern Recognition Lab, FAU Erlangen-Nürnberg
Publication date: 2026/07/02
https://doi.org/10.59275/j.melba.2026-252c
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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" }
RISTY - 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 -

2026:014 cover