Image Representation by U moments
Xiaoting Wang, Guangyu He · 2017
This paper introduces a new set of orthogonal moment functions - U moments (UMs). The basis function of UMs is U-system, which is a new complete orthogonal piecewise polynomial function system. Compared with the traditional orthogonal moments such as Legendre moments(LMs) and Zernike moments(ZMs), UMs has rather low computational complexity and have not numerical approximation errors, which benefit from its low-order and simple mathematical expressions. These properties ensure that UMs is a promising method in image reconstruction and real-time applications. Our experimental results indicate that UMs have a better image representation.