用于图象边缘检测的拉普拉斯-多项式算子
LAPLACIAN OF POLYNOMIAL OPERATOR FOR IMAGE EDGE DETECTION
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摘要: 将用于求解二阶导数的▽2算子与多项式局部曲面拟合相结合，构造了用于边缘检测的拉普拉斯-多项式（Laplacian of Polynomial：▽2P）算子．图象物体边缘定义为▽2P与图象卷积的过零点．证明了：采用正交多项式作为拟合基函数时，可用卷积方法实现局部曲面拟合，使得计算效率大大提高．Abstract: An edge detection operator ▽2 p is developed by polynomial local surface fittingcombined with Laplacian operator.Edge point is defined as zero-crossing point ofthe output of ▽2 p.It is proved that,based on the orthogonal polynomiel function,the local surface fitting can be realized by convolution,thus the amount of operationis largely reduced.
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