基于四元数LOG算子的彩色图像边缘检测  

Edge Detection of Color Image Based on Quaternion and LOG Operator

作　　者：陈伟清[1] 田配云[1] 郑碧波[1] 

机构地区：[1]华南师范大学物理与电信工程学院,广东广州510006

出　　处：《计算机与现代化》2013年第4期95-98,119,共5页Computer and Modernization

摘　　要：边缘检测在数字图像处理中有着重要的作用。把彩色图像映射到一个四元数空间,在四元数空间中对彩色图像进行旋转变换,通过旋转变换可得到彩色图像的原始分量、强度分量、色差分量,通过滤除原始分量与强度分量,可以得到图像的色差分量。因LOG算子具有较好的抗噪性能,故结合LOG算子对色差图像进行边缘检测,把超复数空间中的矢量卷积运算转化为标量运算,可极大地降低计算复杂度。实验表明,本方法是正确的。Edge detection plays an important role in digital image processing. Color image is mapped to a quaternion space, and the rotation transformation for color images is made in the quaternion space. The color image＇ s original component, strength com- ponent and color difference component can be obtained by rotation transformation, and the color difference component can be ob- tained by filtering the original component and the strength component. The LOG operator has better anti-noise performance, so the edge detection for color difference image is made by using the LOG operator, the vector convolution operation in hypercomplex space is changed into a scalar operation, which greatly reduces the computational complexity. Experiments show that the present method is correct.

关 键 词：彩色图像 四元数 边缘检测 LOG算子 色差图像 旋转变换 

分 类 号：TP391.4[自动化与计算机技术—计算机应用技术]