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Improved Mumford-Shah Functional for Coupled Edge-Preserving Regularization and Image Segmentation

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Abstract

An improved Mumford-Shah functional for coupled edge-preserving regularization and image segmentation is presented. A nonlinear smooth constraint function is introduced that can induce edge-preserving regularization thus also facilitate the coupled image segmentation. The formulation of the functional is considered from the level set perspective, so that explicit boundary contours and edge-preserving regularization are both addressed naturally. To reduce computational cost, a modified additive operator splitting (AOS) algorithm is developed to address diffusion equations defined on irregular domains and multi-initial scheme is used to speed up the convergence rate. Experimental results by our approach are provided and compared with that of Mumford-Shah functional and other edge-preserving approach, and the results show the effectiveness of the proposed method.

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Correspondence to Zhang Hongmei.

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Hongmei, Z., Mingxi, W. Improved Mumford-Shah Functional for Coupled Edge-Preserving Regularization and Image Segmentation. EURASIP J. Adv. Signal Process. 2006, 037129 (2006). https://doi.org/10.1155/ASP/2006/37129

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Keywords

  • Information Technology
  • Computational Cost
  • Convergence Rate
  • Quantum Information
  • Image Segmentation