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From level set evolution to threshold optimization: A grayscale level set framework for image segmentation

The segmentation of multiple degradations has been a challenging problem in the field of image segmentation. Existing level set approaches commonly adopt a length regularization term to constrain the geometric shape of the segmentation contour. However, the introduction of the length term often results in numerical instability and high computational cost. In this paper, we show that the length term is not essential under certain smoothness constraints, and theoretically prove that the presence of the length term affects the property of $|\nabla φ|=1$. Based on the finding, we define a class of smooth images, construct the grayscale level set, and propose a fast segmentation framework for ...

AuthorsXingkai Li, Jiebao Sun, Fanghui Song et al.
Primary categorycs.CV
Published24 July 2026
Last updated at source24 July 2026
cs.CVmath-ph
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