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Fast Numerical Methods for Image Segmentation Models

In: Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging

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  • Noor Badshah

    (University of Engineering and Technology, Department of Basic Sciences)

Abstract

In this chapter, three different types of segmentation problems are studied, namely, two-phase segmentation problems, multiphase segmentation problems, and selective segmentation problems. Three types of numerical methods are discussed here as well. Some of them are time marching schemes, multigrid methods, and multilevel methods. Two types of minimization techniques are discussed, like L2 gradient minimization and Sobolev gradient-based minimization techniques. At the end two deep/machine learning approaches for segmentation of images are also presented.

Suggested Citation

  • Noor Badshah, 2023. "Fast Numerical Methods for Image Segmentation Models," Springer Books, in: Ke Chen & Carola-Bibiane Schönlieb & Xue-Cheng Tai & Laurent Younes (ed.), Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging, chapter 12, pages 427-501, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-98661-2_121
    DOI: 10.1007/978-3-030-98661-2_121
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