Acta mathematica scientia,Series A ›› 2024, Vol. 44 ›› Issue (1): 160-172.

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Multi-scale Image Decomposition Based on ADI Format

Luo Xiaoyi1,Han Huan2,Zhang Yimin1,*()   

  1. 1. Center for Mathematical Sciences, Wuhan University of Technology, Wuhan 430070
    2. Department of Mathematics, Wuhan University of Technology, Wuhan 430070
  • Received:2022-12-14 Revised:2023-05-14 Online:2024-02-26 Published:2024-01-10
  • Supported by:
    NSFC(11901443);NSFC(12271417)

Abstract:

For the multi-scale image decomposition model of [Xu R et al., IEEE Trans. Biomed. Eng., 2014], in this paper, a multi-scale image decomposition algorithm based on alternating direction implicit(ADI) scheme is proposed. The convergence and stability of ADI scheme under this model are proved. Further, numerical experiments on different images show that the proposed algorithm has better texture extraction performance.

Key words: Model of variation, Image decomposition, ADI, Multi-scale

CLC Number: 

  • TP391
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