一种新边缘检测算子——正弦算子

A NEW EDGE DETECTION OPERATOR FOR NOISY EDGE--SINE-OPERATOR

边缘检测是在图像中标注灰度强度变化的过程,边缘检测的主要目的是检测和标注显著的灰度强度变化,检测准则、定位准则和响应的唯一性是评估边缘检测算子的三个准则,该文基于这三个准则,给出了获取最优边缘检测算子的详细理论推导,以一维阶跃边缘最优检测算子为例,讨论了对任意形状边缘设计边缘检测算子的过程。在此基础上,该文提出了一种新检测算子——正弦算子,根据评估边缘检测算子的三个准则,该文建议的正弦算子要优于高斯一阶导函数,实验结果表明,正弦算子对检测和定位一维和二维含噪边缘都具有较好的效果。

Edge detection is the process that attempts to characterize the intensity changes in the imagery. The critical goal of edge detection is the detection and characterization of significant intensity changes. Good detection, good localization and single response to a single edge are the three performance criteria for edge detection. Based on the mathematical formulations about detection, localization and single response criterion, the paper explains the theory to attain the optimal edge detection operator in details. The procedure of designing edge detection operators for any shape edges is introduced by illustrating to attain the one-dimensional step edge optimal detection operator. Based on the three performance criteria, the sine-operator is proposed. The sine-operator out-performs the first derivative of Gauss function according to the above three criteria. The results demonstrate that the sine-operator proposed in the paper can obtain good effects for both one-dimensional signal and two-dimensional image with noise.