An algorithm for constructing biorthogonal multiwavelets with higher approximation orders
TL;DR: In this paper, given a pair of biorthogonal multiscaling functions, an algorithm for raising their approximation orders to any desired level is presented. But this algorithm is not suitable for the case of integer s.
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Abstract: Given a pair of biorthogonal multiscaling functions, we present an algorithm for raising their approximation orders to any desired level Precisely, let 8x/ and Q 8x/ be a pair of biorthogonal multiscaling functions of multiplicity r , with approximation orders m and Q m, respectively Then for some integer s, we can construct a pair of new biorthogonal
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Citations
Biorthogonal interpolatory multiscaling functions and corresponding multiwavelets
TL;DR: In this article, a method for constructing a pair of biorthogonal interpolatory multiscaling functions is given and an explicit formula for constructing the corresponding biorhogonal multiwavelets is obtained.
Biorthogonal interpolatory multiscaling functions and corresponding multiwavelets
Shou Zhi Yang
- 01 Jan 2007
TL;DR: In this paper, a method for constructing a pair of biorthogonal interpolatory multiscaling functions is given and an explicit formula for constructing the corresponding biorhogonal multiwavelets is obtained.
1
References
Mathematical Methods for Curves and Surfaces
Michael S. Floater,Tom Lyche,Marie-Laurence Mazure,Knut Mørken,Larry L. Schumaker +4 more
- 01 Jan 2010
TL;DR: A construction of rational isotropic curves with a prescribed tangent field which leads to the description of all rational minimal surfaces is presented.
478
A study of orthonormal multi-wavelets
Charles K. Chui,Jian-ao Lian +1 more
TL;DR: In this paper, a general scheme for constructing symmetric and/or antisymmetric compactly supported orthonormal multi-scaling functions and multi-wavelets is introduced, where the main emphasis is on maximum order of polynomial-reproduction by the scaling functions, or equivalently maximum number of vanishing moments for the corresponding wavelets.
397
Refinable function vectors
TL;DR: Regularity of function vectors gives smoothness orders in the time domain and decay rates at infinity in the frequency domain and regularity criteria are established in terms of the vanishing moment order of the matrix mask.
162
Construction of biorthogonal multiwavelets
TL;DR: In this article, the authors give a formula for compactly supported biorthogonal multi-wavelets, which makes construction of compactly supportable biorghogonal uniwavelets easy like in the construction of BOWs.
117
Construction of multiscaling functions with approximation and symmetry
Gerlind Plonka,Vasily Strela +1 more
TL;DR: This paper presents a new and efficient way to create multiscaling functions with given approximation order, regularity, symmetry, and short support by switching to the frequency domain and employing the latest results of the multiwavelet theory.
98