基于ADI格式的多尺度图像分解

摘要/Abstract

摘要：

针对文献 [Xu R et al., IEEE Trans. Biomed. Eng., 2014] 的多尺度图像分解模型, 该文提出了 Alternating Direction Implicit (ADI) 格式下的多尺度图像分解算法, 并证明了在该模型下 ADI 格式的收敛性和稳定性, 进一步, 通过对不同图像的数值实验, 验证了该文提出的算法具有更好的纹理提取效果.

关键词: 变分模型, 图像分解, ADI, 多尺度

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

中图分类号:

TP391

罗肖义, 韩欢, 张贻民. 基于ADI格式的多尺度图像分解[J]. 数学物理学报, 2024, 44(1): 160-172.

Luo Xiaoyi, Han Huan, Zhang Yimin. Multi-scale Image Decomposition Based on ADI Format[J]. Acta mathematica scientia,Series A, 2024, 44(1): 160-172.

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