| 数字图像的分数阶微分掩模及其数值运算规则 |
| |
| 引用本文： | 蒲亦非,王卫星.数字图像的分数阶微分掩模及其数值运算规则[J].自动化学报,2007,33(11):1128-1135. |
| |
| 作者姓名： | 蒲亦非 王卫星 |
| |
| 作者单位： | 1.电子科技大学电子工程学院 成都 610054 |
| |
| 基金项目： | 中国博士后科学基金;法中科学与应用基金 |
| |
| 摘 要： | 研究目的是提出并论述数字图像的分数阶微分掩模及其数值运算规则. 首先, 从信号处理角度论述了数字图像分数阶微分掩模的特性. 其次, 详细论述了在 x 轴负、x 轴正、y 轴负、y 轴正、左下对角线、左上对角线、右下对角线、右上对角线 8 个相互中心对称的数字图像 n×n 分数阶微分掩模的构造. 最后, 论述了数字图像分数阶微分掩模的数值运算规则. 计算机数值实验结果表明, 对于纹理细节信息丰富的图像信号而言, 分数阶微分对灰度变化不大的平滑区域中的纹理细节信息的提取效果明显优于整数阶微分运算.
|
| 关 键 词： | 分数阶微积分 分数阶偏微分 分数阶梯度向量 模板卷积 纹理细节特征 |
| 收稿时间： | 2006-9-4 |
| 修稿时间： | 2006-09-04 |
Fractional Differential Masks of Digital Image and Their Numerical Implementation Algorithms |
| |
| PU Yi-Fei,WANG Wei-Xing.Fractional Differential Masks of Digital Image and Their Numerical Implementation Algorithms[J].Acta Automatica Sinica,2007,33(11):1128-1135. |
| |
| Authors: | PU Yi-Fei WANG Wei-Xing |
| |
| Affiliation: | 1.School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 610054 |
| |
| Abstract: | We mainly discuss the fractional differential masks of digital image and their numerical implementation algorithms. Firstly, we discuss the characteristics of the fractional differential masks from a signal processing point of view. Secondly, we discuss in detail the structures and parameters of eight n× n fractional differential masks on negative x-axis, positive x-axis, negative y-axis, positive y-axis, left downward diagonal, left upward diagonal, right downward diagonal, and right upward diagonal, respectively, which are centro-symmetric interdependently. Lastly, we discuss the numerical implementation algorithms of the fractional differential masks for digital image. Numerical experiments show that the textural details enhance capabilities of the fractional differential-based texture operator are better than those of the integral differential based one for rich-grained digital images. |
| |
| Keywords: | Fractional calculus partial fractional differential fractional gradient vector template convolution texture characteristics |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《自动化学报》浏览原始摘要信息 |
|
点击此处可从《自动化学报》下载全文 |
|
