【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。更多还原

【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 ▽~2p.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.更多还原