Accelerating Low-Frequency Convergence for Limited-Angle DBT via Two-Channel Fidelity in PDHG
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912981595455488 |
|---|---|
| author | Iyadomi, Taro Parada, Ricardo Kim, Anna Jiang, Lily Sidky, Emil Chang, William |
| author_facet | Iyadomi, Taro Parada, Ricardo Kim, Anna Jiang, Lily Sidky, Emil Chang, William |
| contents | Reconstruction in limited-angle digital breast tomosynthesis (DBT) suffers from slow convergence of low spatial-frequency components when using weighted data-fidelity terms within primal-dual optimization. We introduce a two-channel fidelity strategy that decomposes the sinogram residual into complementary low-pass and high-pass bands using square-root Hanning (Hann^{1/2}) filter families, each driven by an independent \ell_2-ball constraint and dual update in the PDHG (Chambolle-Pock) algorithm with He-Yuan predictor-corrector relaxation. By assigning a larger dual step size and slightly looser tolerance to the low-frequency channel, the method delivers stronger per-iteration correction to the near-DC band without violating global PDHG stability. Experiments on a 2D digital breast phantom across multiple resolutions demonstrate that the two-channel approach yields 19%--61% RMSE improvement over the single-channel baseline, with larger gains at coarser discretizations where problem conditioning is more favorable, supporting more balanced spectral convergence in clinically realistic limited-angle regimes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_23955 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Accelerating Low-Frequency Convergence for Limited-Angle DBT via Two-Channel Fidelity in PDHG Iyadomi, Taro Parada, Ricardo Kim, Anna Jiang, Lily Sidky, Emil Chang, William Optimization and Control Medical Physics math.OC, physics.med-ph Reconstruction in limited-angle digital breast tomosynthesis (DBT) suffers from slow convergence of low spatial-frequency components when using weighted data-fidelity terms within primal-dual optimization. We introduce a two-channel fidelity strategy that decomposes the sinogram residual into complementary low-pass and high-pass bands using square-root Hanning (Hann^{1/2}) filter families, each driven by an independent \ell_2-ball constraint and dual update in the PDHG (Chambolle-Pock) algorithm with He-Yuan predictor-corrector relaxation. By assigning a larger dual step size and slightly looser tolerance to the low-frequency channel, the method delivers stronger per-iteration correction to the near-DC band without violating global PDHG stability. Experiments on a 2D digital breast phantom across multiple resolutions demonstrate that the two-channel approach yields 19%--61% RMSE improvement over the single-channel baseline, with larger gains at coarser discretizations where problem conditioning is more favorable, supporting more balanced spectral convergence in clinically realistic limited-angle regimes. |
| title | Accelerating Low-Frequency Convergence for Limited-Angle DBT via Two-Channel Fidelity in PDHG |
| topic | Optimization and Control Medical Physics math.OC, physics.med-ph |
| url | https://arxiv.org/abs/2603.23955 |