Edge detection by using rotational wavelets
Edge detection by using rotational wavelets
复制标题
使用旋转小波进行边缘检测
DOI：
10.3934/cpaa.2007.6.899
复制
发表时间：
2007
影响因子：
1
通讯作者：
Qingye Zeng
中科院分区：
文献类型：
--
作者：
Liming Zhang;Tao Qian;Qingye Zeng
基于一个包含Radon测度的数学模型，
定义连续的卷积积分的计算
进行（积分）小波变换。研究
表明截断Morlet小波显著依赖于
旋转参数，从而奠定了边缘检测的基础，
使用旋转的模式识别和图像处理
方向小波开发了实验和算法
基于这个理论。该理论被进一步推广到
$n维情形和一大类旋转小波。
Based on a mathematical model involving Radon measure explicit
computations on convolution integrals defining continuous
(integral) wavelet transformations are carried out. The study
shows that the truncated Morlet wavelet significantly depends on a
rotation parameter and thus lay a foundation of edge detection in
pattern recognition and image processing using rotational
(directional) wavelets. Experiments and algorithms are developed
based on the theory. The theory is further generalized to the
$n$-dimensional cases and to a large class of rotational wavelets.