The Adaptive Design of Volterra Filters for Edge Detection of Images

Zhang Yongping; Zheng Nanning; Li Cuihua

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The Adaptive Design of Volterra Filters for Edge Detection of Images

更新时间：2025-12-08

- The Adaptive Design of Volterra Filters for Edge Detection of Images
- Acta Electronica Sinica Issue 4, (1999)
- 作者机构：
  
  西安交通大学人工智能与机器人研究所
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN713
- Published：1999
- 稿件说明：
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[1]张永平,郑南宁,李翠华.图像边缘提取的自适应Volterra滤波器设计[J].电子学报,1999(04):76-79.

Zhang Yongping, Zheng Nanning, Li Cuihua. The Adaptive Design of Volterra Filters for Edge Detection of Images[J]. Acta Electronica Sinica, 1999, (4).
[1]张永平,郑南宁,李翠华.图像边缘提取的自适应Volterra滤波器设计[J].电子学报,1999(04):76-79. DOI：

Zhang Yongping, Zheng Nanning, Li Cuihua. The Adaptive Design of Volterra Filters for Edge Detection of Images[J]. Acta Electronica Sinica, 1999, (4). DOI：

摘要

Ｖｏｌｔｅｒａ滤波是研究信号高阶统计冗余性的一种有效途径．我们提出了一种用于提取图像边缘的自适应二次Ｖｏｌｔｅｒａ滤波器设计方法．这种滤波器是推广型Ｔｅａｇｅｒ基滤子的线性组合，其系数用基于极小化最小均方能量函数的共轭梯度法确定；它兼有局域平均和高通特性，因而可均衡去除噪声和增强图像边缘．文章还给出了计算实例．

Abstract

The Volterra operations are an effective way for the explorations of higher order statistical redundancies of signals.We present a design method for adaptive quadratic Volterra filters with application to edge detection of images.The filter is expressed as a linear combination of generalized Teager basis filters.The expression coefficients are determined by minimizing the least mean square （LMS）.This filter

like a local mean weighted highpass filter

can balance the reducing noise and enhancing feature.

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