基于四元数描述的彩色图象边缘检测器

为了对彩色图象进行有效的边缘检测 ,提出了一种彩色图象边缘检测的新方法 ,该方法先是采用基于四元数的滤波器来确定当前像点是否在同质区域边缘 ,进而检测出边缘像点 .实验表明 ,该方法对合成及自然彩色图象均有较好效果 ,能够方便快捷地得到图象的边缘 .

A Color Image Edge Detector Based on Quaternion Representation

This paper proposes a new color image edge detection method, which utilizes quaternion based representation of color images and is based on a locally defined convolution filter that directly operates on the quaternion domain. The filter, which is a convolving kernel as a function of the pixel under consideration, is applied only to a pre defined neighborhood of the current pixel. Based on the properties of vector dot product and vector cross product between color pixels in quaternion domain, the convolution results are used to determine if the current pixel lies inside a locally homogenous region. A pixel that does not lie inside a locally homogenous region is classified as an edge pixel. Experiments with both synthetic and real color images are presented, along with comparisons with some other existing methods, illustrating the advantages of the proposed method.