中文摘要：

彩色图像边缘检测的梯度算子分为基于灰度边缘检测和基于矢量的方法。基于矢量的方法易于理解，计算量相对较小，边缘检测效果良好。研究了其中的四种经典算子：VR，MVD，CMG，RCMG，并分别对四种算子的处理效果进行了MATLAB仿真。结果表明，四种算子均能有效检测无噪声的彩色图像边缘，RCMG算子抗噪声能力更强。

英文摘要：

Gradient operators in eolor edge detection were classified as classical edge detection operators for gray image and vector operators. Vector method which was based on vector operators is easy to understand. It has relatively small amount of calculation and detects fine edge. Four kinds of representative vector operators were researched： VR （Vector rank operator）, MVD （Minimum vector dispersion）, CMG （Color Morphological Gradient operator） and RCMG （Robust color morphological gradient operator） Simulation results using MATLAB certified that the operators are all effective for noiseless color edge detection and RCMG operator has a better anti-noise ability.