The new graphic description of the Haar wavelet transform

Abstract

The image processing and analysis based on the continuous or discrete image transforms are the classic processing technique. The image transforms are widely used in image filtering, data description, etc. The image transform theory is a well known area, but in many cases some transforms have particular properties which are not still investigated. This paper for the first time presents graphic dependences between parts of Haar and wavelets images. The extraction of image features immediately from spectral coefficients distribution has been shown. In this paper it has been presented that two-dimensional both, the Haar and wavelets functions products, can be treated as extractors of particular image features. © Springer-Verlag Berlin Heidelberg 2004.