Morphing from the TV-Norm to the l0-Norm

Gengsheng L Zeng and Ya Li
Additional contact information
Gengsheng L Zeng: Department of Computer Science, Department of Radiology and Imaging Sciences, Utah Valley University, USA
Ya Li: Department of Mathematics, Utah Valley University, USA

Biomedical Journal of Scientific & Technical Research, 2024, vol. 55, issue 2, 46741-46747

Abstract: For piecewise constant objects, the images can be reconstructed with under-sampled measurements. The gradient image of a piecewise image is sparse. If a sparse solution is a desired solution, an l0 -norm minimizationmethod is effective to solve an under-determined system. However, the l0 -norm is not differentiable, and it is not straightforward to minimize an l0 -norm. This paper suggests a function that is like the l0 -norm function,and we refer to this function as meta l0 -norm.

Keywords: Journals on Medical Drug and Therapeutics; Journals on Emergency Medicine; Physical Medicine and Rehabilitation; Journals on Infectious Diseases Addiction Science and Clinical Pathology; Open Access Clinical and Medical Journal; Journals on Biomedical Science; List of Open Access Medical Journal; Journals on Biomedical Engineering; Open Access Medical Journal; Biomedical Science Articles; Journal of Scientific and Technical Research (search for similar items in EconPapers)
Date: 2024
References: Add references at CitEc
Citations:

Downloads: (external link)
https://biomedres.us/pdfs/BJSTR.MS.ID.008665.pdf (application/pdf)
https://biomedres.us/fulltexts/BJSTR.MS.ID.008665.php (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:abf:journl:v:55:y:2024:i:2:p:46741-46747

DOI: 10.26717/BJSTR.2024.55.008665

Access Statistics for this article

Biomedical Journal of Scientific & Technical Research is currently edited by Robert Thomas

More articles in Biomedical Journal of Scientific & Technical Research from Biomedical Research Network+, LLC
Bibliographic data for series maintained by Angela Roy ().