This paper analyses performance of multiwavelets a variant of wavelet transform on compression of medical images. To do so, two processes namely, transformation for decorrelation and encoding are done. In transformation stage medical images are subjected to multiwavelet transform using multiwavelets such as GeronimoHardin-Massopust, Chui Lian, Cardinal 2 Balanced (Cardbal2) and orthogonal symme...

This paper investigates the emerging notion of multiwavelets in the context of multirate filter banks, and applies a multiwavelet system to image coding and signal denoising. Multiwavelets are of interest because their constituent filters can be simultaneously symmetric and orthogonal (this combination is impossible for 2-band PR-QMFs), and because one can obtain higher orders of approximation ...

Finite element multiwavelets were constructed by Strela and Strang [12]. They simultaneously achieve higher regularity and short support. However, these multiwavelets are not orthogonal with respect to translates. In this notes, we introduced an alternate Sobolev type inner product in which the scaling functions are orthogonal to their translates. We then derive a simple version of the decompos...

Starting with Hermite cubic splines as the primal multigenerator, first a dual multigenerator onR is constructed that consists of continuous functions, has small support, and is exact of order 2. We then derive multiresolution sequences on the interval while retaining the polynomial exactness on the primal and dual sides. This guarantees moment conditions of the corresponding wavelets. The conc...

A new fiber-optic signal processor is proposed to implement systolic matrix-vector multipliers and lattice filters. 10(9) multiplications/sec can be achieved with currently available components for matrix-vector multiplications that involve Toeplitz matrices. A 2 x 2 (Toeplitz) matrix-vector multiplier has been experimentally demonstrated using single-mode fibers and directional couplers. The f...

We describe a new proof of the well-known Lyapunov's matrix inequality about the location of the eigenvalues of a matrix in some region of the complex plane. The proof makes use of standard facts from quadratic and semi-deenite programming. Links are established between the Lyapunov matrix, rank-one LMIs and the Lagrange multiplier arising in duality theory.

AbscrocrWe present a mixed-signal distributed VLSI architecture for massively parallel array processing, with fine-grain embedded memory. The three-transistor processing element in the array combines a charge injection device (CID) binary multiplier and analog accumulator with embedded dynamic random-access memory (DRAM). A prototype 512 x 128 vector-matrix multiplier on a single 3 mm x 3 mm ch...

This paper analyses performance of multiwavelets a variant of wavelet transform on compression of medical images. To do so, two processes namely, transformation for decorrelation and encoding are done. In transformation stage medical images are subjected to multiwavelet transform using multiwavelets such as GeronimoHardin-Massopust, Chui Lian, Cardinal 2 Balanced (Cardbal2) and orthogonal symme...