Two-dimensional local moment, surface fitting and their fast computation

摘要

It is proved that local moments are related to their surface fitting coefficients by a linear transform, and by this the surface-fitting-based-feature extraction is converted into the computation of 2D local moments. A NPT recursive method is proposed to compute 2D local moments quickly and then to efficiently implement surface fitting. The new method has a novel advantage that its computational complexity for both 2D local moment computation and surface fitting is independent of the mask size, which much efficiently speed up the feature extraction.