RSR-NF: Neural Field Regularization by Static Restoration Priors for Dynamic Imaging

Fuente: arXiv
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Main Authors: Iskender, Berk, Nakarmi, Sushan, Daphalapurkar, Nitin, Klasky, Marc L., Bresler, Yoram
Format: Preprint
Published: 2025
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author Iskender, Berk
Nakarmi, Sushan
Daphalapurkar, Nitin
Klasky, Marc L.
Bresler, Yoram
author_facet Iskender, Berk
Nakarmi, Sushan
Daphalapurkar, Nitin
Klasky, Marc L.
Bresler, Yoram
contents Dynamic imaging involves the reconstruction of a spatio-temporal object at all times using its undersampled measurements. In particular, in dynamic computed tomography (dCT), only a single projection at one view angle is available at a time, making the inverse problem very challenging. Moreover, ground-truth dynamic data is usually either unavailable or too scarce to be used for supervised learning techniques. To tackle this problem, we propose RSR-NF, which uses a neural field (NF) to represent the dynamic object and, using the Regularization-by-Denoising (RED) framework, incorporates an additional static deep spatial prior into a variational formulation via a learned restoration operator. We use an ADMM-based algorithm with variable splitting to efficiently optimize the variational objective. We compare RSR-NF to three alternatives: NF with only temporal regularization; a recent method combining a partially-separable low-rank representation with RED using a denoiser pretrained on static data; and a deep-image prior-based model. The first comparison demonstrates the reconstruction improvements achieved by combining the NF representation with static restoration priors, whereas the other two demonstrate the improvement over state-of-the art techniques for dCT.
format Preprint
id arxiv_https___arxiv_org_abs_2503_10015
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle RSR-NF: Neural Field Regularization by Static Restoration Priors for Dynamic Imaging
Iskender, Berk
Nakarmi, Sushan
Daphalapurkar, Nitin
Klasky, Marc L.
Bresler, Yoram
Image and Video Processing
Computer Vision and Pattern Recognition
Machine Learning
Dynamic imaging involves the reconstruction of a spatio-temporal object at all times using its undersampled measurements. In particular, in dynamic computed tomography (dCT), only a single projection at one view angle is available at a time, making the inverse problem very challenging. Moreover, ground-truth dynamic data is usually either unavailable or too scarce to be used for supervised learning techniques. To tackle this problem, we propose RSR-NF, which uses a neural field (NF) to represent the dynamic object and, using the Regularization-by-Denoising (RED) framework, incorporates an additional static deep spatial prior into a variational formulation via a learned restoration operator. We use an ADMM-based algorithm with variable splitting to efficiently optimize the variational objective. We compare RSR-NF to three alternatives: NF with only temporal regularization; a recent method combining a partially-separable low-rank representation with RED using a denoiser pretrained on static data; and a deep-image prior-based model. The first comparison demonstrates the reconstruction improvements achieved by combining the NF representation with static restoration priors, whereas the other two demonstrate the improvement over state-of-the art techniques for dCT.
title RSR-NF: Neural Field Regularization by Static Restoration Priors for Dynamic Imaging
topic Image and Video Processing
Computer Vision and Pattern Recognition
Machine Learning
url https://arxiv.org/abs/2503.10015