4.3 Article

A FAST ALGORITHM FOR GLOBAL MINIMIZATION OF MAXIMUM LIKELIHOOD BASED ON ULTRASOUND IMAGE SEGMENTATION

Journal

INVERSE PROBLEMS AND IMAGING
Volume 5, Issue 3, Pages 645-657

Publisher

AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/ipi.2011.5.645

Keywords

Ultrasound image segmentation; global minimization; primal dual method

Funding

  1. National Natural Science foundation of China [10926193]
  2. Postgraduates Research Innovation foundation of Jiangsu Province [CX10B-129Z]

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This paper presents a novel variational model for ultrasound image segmentation that uses a maximum likelihood estimator based on Fisher-Tippett distribution of the intensities of ultrasound images. A convex relaxation method is applied to get a convex model of the subproblem with fixed distribution parameters. The relaxed subproblem, which is convex, can be fast solved by using a primal-dual hybrid gradient algorithm. The experimental results on simulated and real ultrasound images indicate the effectiveness of the method presented.

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