Grid-Based Decimation for Wavelet Transforms With Stably Invertible Implementation

Parallel Implementation of Fast Wavelet Transforms

Wavelet-Based Fractal Transforms for Image Coding with No Search

The compression performance of fractal image coding is considered using the wavelet-based fractal coder with no search or classi cation of the domain blocks. A new partitioning scheme is introduced as a variant of earlier schemes which further improves the compression performance. The Wavelet-Based Fractal Transform (WBFT) links the theory of multiresolution analysis (MRA) with iterated functio...

Classical Wavelet Transforms over Finite Fields

This article introduces a systematic study for computational aspects of classical wavelet transforms over finite fields using tools from computational harmonic analysis and also theoretical linear algebra. We present a concrete formulation for the Frobenius norm of the classical wavelet transforms over finite fields. It is shown that each vector defined over a finite field can be represented as...

Invertible Linear Transforms Implemented by Integer Mapping

Abstract The general integer mapping theory of invertible linear transforms is considered in this paper. Two terms of integer factor and elementary triangular matrix are introduced. We prove that there exists an integer implementation if a linear transform is invertible and in finite dimensional space. The integer implementation of an invertible linear transform has several advantages such as (...

Implementation of Orthogonal Wavelet Transforms and their Applications

In this paperthe eflcient implementation of different types of orthogonal wavelet transforms with respect to practical applications is discussed. Orthogonal singlewuvelet triinsfornis being based on one scaling function and one wavelet function are used for denosing of signals. Orthogonal multiwavelets are bused on several scaling filnctions and several wavelets. Since they allow properties lik...