A fractional-order image segmentation model with application to low-contrast and piecewise smooth images
Cao, Junfeng and Chen, Ke and Han, Huan (2024) A fractional-order image segmentation model with application to low-contrast and piecewise smooth images. Computers and Mathematics with Applications, 153. pp. 159-171. ISSN 0898-1221 (https://doi.org/10.1016/j.camwa.2023.11.010)
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Abstract
In this paper, we propose a two-stage image segmentation model based on structure tensor and fractional-order regularization. In the first stage, we use the fractional-order regularization to approximate the Hausdorff measure of the Mumford-Shah (MS) model. The existence and uniqueness of the solution is proved and the alternating direction implicit (ADI) scheme is used to find the solution of the modified MS model. In the second stage, a thresholding is used to induce the segmentation of the target. The superior performances of the proposed model are demonstrated by some comparative experimental results with several state-of-art methods.
ORCID iDs
Cao, Junfeng, Chen, Ke ORCID: https://orcid.org/0000-0002-6093-6623 and Han, Huan;-
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Item type: Article ID code: 87770 Dates: DateEvent1 January 2024Published23 November 2023Published Online4 November 2023AcceptedSubjects: Science > Mathematics Department: Faculty of Science > Mathematics and Statistics Depositing user: Pure Administrator Date deposited: 10 Jan 2024 14:46 Last modified: 09 Oct 2024 11:16 Related URLs: URI: https://strathprints.strath.ac.uk/id/eprint/87770