Development of n^th DimensionalBi-Orthogonal Wavelets Transform and Its Applications

Abstract

This paper describes that key idea to introduce wavelets transform, one-.two- and. three-dimensional wavelets transforms are introduced by means of Daubechies 2^nd order base function. Finally, n^th order bi-orthogonal wavelets transform algorism is derived in terms of tensor notation. As a result, it is clarified the mathematical as well as physical meaning of the discrete wavelets transform. Thus, this paper suggests that various signal and image processing problems can be carried out by the discrete wavelets transform.