矢量自对偶形态学滤波算子

雷涛; 樊养余; 罗维薇; 王履程

doi:10.16383/j.aas.2015.c140116

矢量自对偶形态学滤波算子

doi: 10.16383/j.aas.2015.c140116

雷涛^1,2, ,,
樊养余²,
罗维薇¹,
王履程¹

1.
兰州交通大学电子与信息工程学院兰州 730070;
2.
西北工业大学电子信息学院西安 710072

基金项目:

国家自然科学基金(61202314, 61461025), 中国博士后科学基金(201 4T70937, 2012M521801)资助

详细信息

作者简介:
罗维薇兰州交通大学电子与信息工程学院讲师. 2005 年获得兰州交通大学通信与信息系统专业硕士学位. 主要研究方向为图像处理, 模式识别.E-mail: luoweiwei@mail.lzjtu.cn

通讯作者:
雷涛兰州交通大学电子与信息工程学院副教授, 西北工业大学电子科学与技术博士后流动站在站博士后. 2011 年获得西北工业大学信息与通信工程专业博士学位. 主要研究方向为图像处理, 人工智能. E-mail: leitaoly@163.com

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出版历程
- 收稿日期: 2014-03-03
- 修回日期: 2014-11-21
- 刊出日期: 2015-05-20

Vector Self-dual Morphological Filtering Operators

1.
School of Electronic and Information Engineering, Lanzhou Jiaotong University, Lanzhou 730070;
2.
School of Electronics and Information, Northwestern Polytechnical University, Xi'an 710072

Funds:

Supported by National Natural Science Foundation of China (61202314, 61461025) and Postdoctoral Science Foundation of China (2014T70937, 2012M521801)

摘要

摘要: 自对偶形态学算子不依赖形态学腐蚀、膨胀算子的先后次序, 是一种等同处理图像背景和前景的形态学算子. 而将自对偶形态学算子拓展到多通道图像处理是一个难题. 为了解决该问题, 提出了基于极值约束的矢量自对偶形态学滤波算子(EC-VSDMF). 首先根据对称矢量排序算法构建满足对偶性的矢量形态学算子, 然后依据形态学算子中的极值原理优化矢量集合, 从而有效抑制矢量集合中包含单通道极值的矢量作为输出结果, 最终实现了具有约束功能的矢量自对偶形态学滤波算子(VSDMF). 实验结果表明, EC-VSDMF继承了传统自对偶形态学滤波算子的性质, 将其应用于彩色图像滤波可以改善现有矢量形态学滤波算子导致滤波后图像亮度和色度发生偏移的问题. 滤波后的图像在有效抑制噪声的同时较好地保留了图像细节, 滤波性能甚至超过了多种现有的矢量中值滤波算子.
- 数学形态学 /
- 彩色图像滤波 /
- 矢量排序 /
- 自对偶形态学算子
Abstract: Self-dual morphological filtering operators do not rely on the order of the sequence of erosion or dilation. They treat the foreground and background of an image identically. However, it is difficult to apply self-dual morphological operators to multi-channel images. To overcome the problem, vector self-dual morphological filtering operators based on extremum constraint (EC-VSDMF) is proposed in this paper. Firstly, a symmetric vector ordering is introduced to construct vector morphological operators with duality. Besides, vector sets are optical according to the extremum principle of morphological theory. And thus vectors including opposite extrema in single channels are suppressed. Finally, EC-VSDMF is constructed and applied to color image filtering. Experimental results show that the proposed EC-VSDMF inherits the properties of classic self-dual morphological operators. The problem that the brightness, saturation and hue of the filtered image turn to larger or smaller compared to the original image is also addressed. Moreover, EC-VSDMF can suppress noises efficiently while maintaining the image detail, even it can provide better results compared with the various vector median filtering operators.
- Mathematical morphology /
- color image filtering /
- vector ordering /
- self-dual morphological operators

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参考文献(34)

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矢量自对偶形态学滤波算子

doi: 10.16383/j.aas.2015.c140116

作者简介:
罗维薇兰州交通大学电子与信息工程学院讲师. 2005 年获得兰州交通大学通信与信息系统专业硕士学位. 主要研究方向为图像处理, 模式识别.E-mail: luoweiwei@mail.lzjtu.cn

通讯作者:
雷涛兰州交通大学电子与信息工程学院副教授, 西北工业大学电子科学与技术博士后流动站在站博士后. 2011 年获得西北工业大学信息与通信工程专业博士学位. 主要研究方向为图像处理, 人工智能. E-mail: leitaoly@163.com

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Vector Self-dual Morphological Filtering Operators

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目录

留言板

矢量自对偶形态学滤波算子

doi: 10.16383/j.aas.2015.c140116

作者简介: 罗维薇 兰州交通大学电子与信息工程学院讲师. 2005 年获得兰州交通大学通信与信息系统专业硕士学位. 主要研究方向为图像处理, 模式识别.E-mail: luoweiwei@mail.lzjtu.cn

通讯作者: 雷涛 兰州交通大学电子与信息工程学院副教授, 西北工业大学电子科学与技术博士后流动站在站博士后. 2011 年获得西北工业大学信息与通信工程专业博士学位. 主要研究方向为图像处理, 人工智能. E-mail: leitaoly@163.com

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出版历程

Vector Self-dual Morphological Filtering Operators

计量

出版历程

目录

作者简介:
罗维薇兰州交通大学电子与信息工程学院讲师. 2005 年获得兰州交通大学通信与信息系统专业硕士学位. 主要研究方向为图像处理, 模式识别.E-mail: luoweiwei@mail.lzjtu.cn

通讯作者:
雷涛兰州交通大学电子与信息工程学院副教授, 西北工业大学电子科学与技术博士后流动站在站博士后. 2011 年获得西北工业大学信息与通信工程专业博士学位. 主要研究方向为图像处理, 人工智能. E-mail: leitaoly@163.com