二项分布——拉普拉斯边缘检测算子

Laplacian of Binomial Distribution——An Edge Detection Operator

本文提出了一种用二项分布序列作为滤波模板,并相继进行拉普拉斯运算和零交点检测提取图象边缘的新的边缘检测算法。推导了二项分布——拉普拉斯边缘检测算子及实现卷积运算的快速算法。即使当尺度空间常数n较小时本文提出的算子亦具有较理想的带通特性及高频抑制性能。利用均方误差最小原理对被检测点邻域九点进行平面拟合可以成功地检测零交点,适当选择拟合平面斜率的检测阀值可大大消除噪声并有效地提取出图象边缘。

This paper presents a new edge detection algorithm using the operator of Laplacian of binomial ( LOB). The image is smoothed by binomial distribution sequences. Then the Laplacian operation and zerocrossing detection are performed on the smoothed image to detect the edge points effectively. The LOB operator is derived and tbe fast algorithm of LOB edge detection is proposed. Even if the scale space constant n is smaller, the spectrum of LOB operator has better bandpass characteristics and high frequency attenuation performance. The zero-crossing points are detected successfully using 9-point plane fitting in the least squares sense. The slope threshold of fitting plane can be selected to extract the edge points and reduce the noise efficiently.