CAJ | 학술논문

本文提出了一种基于一阶导数局部极大值和二阶导数零交叉点的图像边缘检测方法.许多传统的边缘检测方法,尤其是一些基于二阶导数零交叉点的方法,对于信号中的噪声比较敏感使得边缘信息不能完全准确地检测出来,而本方法可以较好地解决这些问题.本文提出的算法是先计算出像素一阶导数的局部极大值以及二阶导数对应的零交叉点,将两者进行比较,删除那些二阶导数是零交叉点但一阶导数不是局部极大值的像素点,最后把剩下像素连接起来,即是图像边缘.实验研究结果表明该方法具有良好的边缘检测效果和鲁棒性.
본문제출료일충기우일계도수국부겁대치화이계도수령교차점적도상변연검측방법.허다전통적변연검측방법,우기시일사기우이계도수령교차점적방법,대우신호중적조성비교민감사득변연신식불능완전준학지검측출래,이본방법가이교호지해결저사문제.본문제출적산법시선계산출상소일계도수적국부겁대치이급이계도수대응적령교차점,장량자진행비교,산제나사이계도수시령교차점단일계도수불시국부겁대치적상소점,최후파잉하상소련접기래,즉시도상변연.실험연구결과표명해방법구유량호적변연검측효과화로봉성.
A new method for image edge detection is proposed based on local maximum of the first derivative and zero crossing of the second derivative. Although there are many traditional methods for edge detection, especially some methods based on zero crossings, most of them are sensitive to noise, so that the image edge can't be detected clearly. The proposed algorithm can avoid such disadvantages. This method calculates the first derivative and finds out the local maximum, then calculates the second derivative and gets the zero crossing. After comparing the results, those points whose second derivative is zero crossing but first derivative is not local maximum are deleted, because maybe these edge points are produced by noise. The experiment results show that this new method reaches not only perfect edge detection result but also good robustness to noise.