Efficient parameter identification using nonsmooth and nonconvex regularization for inverse problem of diffuse optical tomography

Abstract To better reconstruct the piecewise constant optical coefficients in diffuse optical tomography, nonconvex and nonsmooth approximation of weak Mumford–Shah functional is considered in this paper. We theoretically analyze the existence of minimizers in piecewise constant finite element space...

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Bibliographic Details
Main Authors: Jinping Tang, Bo Bi
Format: Article
Language:English
Published: Nature Portfolio 2025-07-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-025-07560-y
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