SPLINE-WAVELET PROCESSING OF STRUCTURED INFORMATION FLOWS

Abstract

The book is devoted to the processing of spline-wavelet flows of structured numerical information. Adaptive schemes for the simultaneous processing of several flows are proposed. The structure of flows is characterized by variability in both time and space. The concept of a generalized smoothness, due to it is being possible to consider singular spline wavelets, and also setting embedded of spline spaces on embedded grids. The wavelet designing of integer flows is very important. It uses integer arithmetics. Research extends to very general situations: flows of finite and infinite vectors, flows of matrices, as well as flows of elements of normalized spaces. Introduced adaptive spline-wavelet decompositions of flows are associated with the cellular subdivision of arbitrary differentiable manifolds (including smooth surfaces). The publication is intended for researchers, graduate students and students, as well as for persons dealing with the problems of processing numerical information flows.