Polynomial kernel function is applied to map face distribution of low dimension space to that of high dimension space, and decide which set that face to be recognized belongs to.

Then, experiments with the radial basic function and the polynomial kernel function are used to reveal the relationship between kernel functions and the filter algorithm.

In chapter two, using piecewise quartic polynomial as kernel function, we give analytical convolution solutions for points, line segments, arcs, quadratic Bezier curves and triangle segments.