MR. TOMP : Inversion of the modulo radon transform (mrt) via orthogonal matching pursuit (OMP)
File(s)
Author(s)
Beckmann, Matthias
Bhandari, Ayush
Type
Conference Paper
Abstract
In the recent years, practitioners in the area of tomography have proposed high dynamic range (HDR) solutions that are inspired by the multi-exposure fusion strategy in computational photography. To this end, multiple Radon Transform projections are acquired at different exposures that are algorithmically fused to facilitate HDR re-construction. A single-shot alternative to multi-exposure fusion approach has been proposed in our recent line of work which is based on the Modulo Radon Transform (MRT). In this case, Radon Transform projections are folded via modulo non-linearity. This folding allows HDR values to be mapped into the dynamic range of the sensor and, thus, avoids saturation or clipping. The folded measurements are then mapped back to their ambient range using algorithms. The main goal of this paper is to introduce a novel, Fourier domain recovery method, namely, the OMP-FBP method, which is based on the Orthogonal Matching Pursuit (OMP) algorithm and Filtered Back Projection (FBP) formula. The proposed OMP-FBP method offers several advantages; it is agnostic to the modulo threshold or the number of folds, can handle much lower sampling rates than previous approaches and is empirically stable to noise and outliers. Computer simulations as well as hardware experiments in the paper validate the effectivity of the OMP-FBP recovery method.
Date Issued
2022-10-18
Date Acceptance
2022-10-01
Citation
2022 IEEE International Conference on Image Processing (ICIP), 2022, pp.3748-3752
ISSN
1522-4880
Publisher
IEEE
Start Page
3748
End Page
3752
Journal / Book Title
2022 IEEE International Conference on Image Processing (ICIP)
Copyright Statement
Copyright © 2022 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Identifier
https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:001058109503164&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=a2bf6146997ec60c407a63945d4e92bb
Source
IEEE International Conference on Image Processing (ICIP)
Subjects
Computational imaging
Computer Science
Computer Science, Artificial Intelligence
computer tomography
Engineering
Engineering, Electrical & Electronic
high dynamic range
Radon transform and sampling theory
Science & Technology
Technology
Publication Status
Published
Start Date
2022-10-16
Finish Date
2022-10-19
Coverage Spatial
Bordeaux, France