一种基于形态学的结构图提取方法

程乾坤; 聂栋栋

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一种基于形态学的结构图提取方法

更新时间：2026-09-04

- 一种基于形态学的结构图提取方法
- Structure image extraction based on morphological method
- 微电子学与计算机 2021年38卷第6期页码：66-71
- 作者机构：
  
  燕山大学机构理学院,河北,秦皇岛,066000
- 作者简介：
- 基金信息：
  
  国家自然科学基金项目 61807029国家自然科学基金项目 11702242河北省自然科学基金项目 F2019203427
- DOI：
  中图分类号：
- 纸质出版：2021
- 稿件说明：
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程乾坤, 聂栋栋. 一种基于形态学的结构图提取方法[J]. 微电子学与计算机, 2021, 38(6): 66-71, 76.

CHENG Qian-kun, NIE Dong-dong. Structure image extraction based on morphological method[J]. 2021, 38(6): 66-71.
程乾坤, 聂栋栋. 一种基于形态学的结构图提取方法[J]. 微电子学与计算机, 2021, 38(6): 66-71, 76. DOI：

CHENG Qian-kun, NIE Dong-dong. Structure image extraction based on morphological method[J]. 2021, 38(6): 66-71. DOI：

摘要

针对传统的结构图提取方法难以在纹理平滑的同时更好的保持结构这一问题，采用迭代重加权最小二乘优化框架构建优化模型.针对图像中纹理与结构的梯度的不同，提出了相对极值变分.首先通过形态学中的闭合运算提取梯度图的极值图，然后扩展了窗口内在变分的指数权重，进而构建了新的优化模型.最后根据模型的非凸性，构建了Toeplitz矩阵进行数值求解.实验结果表明所提算法可以有效的移除图像纹理，更好的保持边缘结构与对比度，在图像质量分析方面也展现了较好的优势.

Abstract

Aiming at the problem that the traditional structure extraction method is difficult to maintain the structure while smoothing the texture

the iterative reweighted least squares optimization framework is used to construct an optimization model. In view of the difference in the gradient of texture and structure in the image

a relative extremum variation is proposed. Firstly

the extremum information of the gradient map is extracted through closed operation in morphology. And then

the index weight of windowed inherent variation is expanded

and then a new optimization model is constructed. Finally

according to the non-convexity of the model

a Toeplitz matrix is constructed for numerical solution. The experimental results show that the proposed algorithm can effectively remove the image texture

better preserve the edge structure and contrast

and also shows better advantages in image quality analysis.

关键词

Keywords

references

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