基于类内方差最小化及模糊控制算法的 小波边缘检测技术

李 牧; 臧希; 闫继宏; 赵 杰

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基于类内方差最小化及模糊控制算法的小波边缘检测技术

论文 | 更新时间：2025-07-16

- 基于类内方差最小化及模糊控制算法的小波边缘检测技术
- A Wavelet Edge Detection Technique Based on Method of Minimum Interclass Variance and Fuzzy Algorithm
- 电子学报 2008年36卷第9期页码：1741-1745
- 作者机构：
  
  哈尔滨工业大学机器人研究所,黑龙江,哈尔滨,150001
- 作者简介：
- 基金信息：
  
  长江学者和创新团队发展计划资助项目 (No.IRT0423);863计划项目 (No.2006AA04Z245)
- DOI：
  中图分类号： TP391
- 纸质出版：2008
- 稿件说明：
移动端阅览
李牧, 臧希, 闫继宏, 等. 基于类内方差最小化及模糊控制算法的小波边缘检测技术[J]. 电子学报, 2008,36(9):1741-1745.

LI Mu, ZANG Xi-zhe, YAN Ji-hong, et al. A Wavelet Edge Detection Technique Based on Method of Minimum Interclass Variance and Fuzzy Algorithm[J]. Acta Electronica Sinica, 2008, 36(9): 1741-1745.
李牧, 臧希, 闫继宏, 等. 基于类内方差最小化及模糊控制算法的小波边缘检测技术[J]. 电子学报, 2008,36(9):1741-1745. DOI：

LI Mu, ZANG Xi-zhe, YAN Ji-hong, et al. A Wavelet Edge Detection Technique Based on Method of Minimum Interclass Variance and Fuzzy Algorithm[J]. Acta Electronica Sinica, 2008, 36(9): 1741-1745. DOI：

摘要

应用传统的小波技术对图像进行边缘检测时

需要采用阈值对模非极大值抑制后的候选边缘点进行筛选

求取边缘.但是

目前阈值的求取是凭借人们的经验人为的设定

需要反复的试凑比较才能得出最后结果

另外

当前的单阈值自动求取方法还无法实现精确的边缘检测

这些缺陷限制了小波边缘检测技术在实际中的应用.针对这一问题

提出基于类内方差最小化原理自适应的求取双阈值的算法

不需要人为的设定任何系数和参数.采用模糊控制技术连接边缘像素

理论推导和实验结果证明了该算法的正确性和有效性.

Abstract

Whatever traditional wavelet edge detection technique was adopted

threshold was needed to filter candidate edge points for edge detection.However

threshold was obtained through experience presently

the best result was received after "cut and trial method" had been used repeatly

in addition

single-threshold calculation method can not accomplish accurate edge detection by now.These shortcomings restrict application of wavelet edge detection technique in practice.Aim at this problem

an algorithm of self-adaptive calculating double thresholds based on method of minimum interclass variance was proposed

and any parameter was not needing artificial setting .Fuzzy algorithm was adopted to link edge pixels

Theory and experiments showed that the algorithm was of validate and correct.

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