Based on Zernike image moments edge model, relationship between direction angle model and sub-pixel criterion is studied deeply. A new edge detecting operator method based on 4-order direction angle is proposed,by using Zernike moments definition and its rotation invariance. In order to improve positioning speed of edge operator, the orthogonal complex polynomial is computed from 0 to 4 orders of the Zernike moments based on 9 x 9 mask,the edge detecting operator parameter model is deduced. Finally,edge operator is applied to ideal image and real image, test results show that the edge detecting operator based on 4-order direction angle has higher detecting precision compared with traditional method%基于Zernike图像矩的理想边缘模型,深入研究了方向角模型与亚像素判据间的关系.利用Zernike矩定义及其旋转不变特性,提出一种新的基于4阶方向角的Zernike矩亚像素边缘检测算子.为了提高边缘算子定位速度,首先基于9×9尺寸模板对Zernike图像矩0～4阶正交复数多项式进行了计算,推导出基于4阶方向角的边缘检测算子参数模型.最后将边缘算子应用在理想图像与实际图像上,检测结果表明:相比于传统的Zernike矩算子,基于4阶方向角的边缘检测算子具有更高的检测精度.
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