考察下列广义差分方程 ym+n=sum from i=1 to m+n Pi（n）ym+n-i+q（n）,n≥0,（1） 满足初始条件yi=ci（i=0,1,…,m-1）的解。特别,当pi（n）=ai,此即为广义线性差分方程。由于不能写出有限次特征方程,广义线性差分方程不能用经典的方...考察下列广义差分方程 ym+n=sum from i=1 to m+n Pi（n）ym+n-i+q（n）,n≥0,（1） 满足初始条件yi=ci（i=0,1,…,m-1）的解。特别,当pi（n）=ai,此即为广义线性差分方程。由于不能写出有限次特征方程,广义线性差分方程不能用经典的方法来解。最近,张福基用生成函数方法得出广义线性差分方程的显式解。然而,解一般的变系数广义差分方程,至今仍无有效方法。展开更多
A novel subpixel corner detection method based on spatial moment is developed in this paper. Firstly, the spatial-moment-generating function, gradient magnitude and variation of gradientdirection corner are used as th...A novel subpixel corner detection method based on spatial moment is developed in this paper. Firstly, the spatial-moment-generating function, gradient magnitude and variation of gradientdirection corner are used as the decision rule of corner detection by analyzing the mathematical formula of corner-model spatial moment. Then Non-max suppression technique is utilized to detect the vertex of feature corner. Finally, in order to improve its localization performance, subpixel corner detection is implemented by the bilinear interpolation and Newton iteration method. Experiments illustrate that the spatial moment corner detector has better robustness and localization performance than Kitchen detector and Harris detector.展开更多
文摘考察下列广义差分方程 ym+n=sum from i=1 to m+n Pi（n）ym+n-i+q（n）,n≥0,（1） 满足初始条件yi=ci（i=0,1,…,m-1）的解。特别,当pi（n）=ai,此即为广义线性差分方程。由于不能写出有限次特征方程,广义线性差分方程不能用经典的方法来解。最近,张福基用生成函数方法得出广义线性差分方程的显式解。然而,解一般的变系数广义差分方程,至今仍无有效方法。
文摘A novel subpixel corner detection method based on spatial moment is developed in this paper. Firstly, the spatial-moment-generating function, gradient magnitude and variation of gradientdirection corner are used as the decision rule of corner detection by analyzing the mathematical formula of corner-model spatial moment. Then Non-max suppression technique is utilized to detect the vertex of feature corner. Finally, in order to improve its localization performance, subpixel corner detection is implemented by the bilinear interpolation and Newton iteration method. Experiments illustrate that the spatial moment corner detector has better robustness and localization performance than Kitchen detector and Harris detector.
