Nonconvex sparse regularizer based speckle noise removal

Yu Han, Xiang Chu Feng, George Baciu, Wei Wei Wang

Research output: Journal article publicationReview articleAcademic researchpeer-review

46 Citations (Scopus)


This paper focuses on the problem of speckle noise removal. A new variational model is proposed for this task. In the model, a nonconvex regularizer rather than the classical convex total variation is used to preserve edges/details of images. The advantage of the nonconvex regularizer is pointed out in the sparse framework. In order to solve the model, a new fast iteration algorithm is designed. In the algorithm, to overcome the disadvantage of the nonconvexity of the model, both the augmented Lagrange multiplier method and the iteratively reweighted method are introduced to resolve the original nonconvex problem into several convex ones. From the algorithm, we can obtain restored images as well as edge indicator of the images. Comprehensive experiments are conducted to measure the performance of the algorithm in terms of visual evaluation and a variety of quantitative indices for the task of speckle noise removal.
Original languageEnglish
Pages (from-to)989-1001
Number of pages13
JournalPattern Recognition
Issue number3
Publication statusPublished - 1 Mar 2013


  • Alternative iteration
  • Augmented Lagrange multiplier
  • Iteratively reweighted method
  • Nonconvex
  • Sparse
  • Speckle noise

ASJC Scopus subject areas

  • Software
  • Signal Processing
  • Computer Vision and Pattern Recognition
  • Artificial Intelligence


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