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   -> Volume 4, Issue 9


Preprint: Two conference papers concerning the lifting scheme
 
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Wim Sweldens (sweldens@interval.com)
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PostPosted: Fri Dec 06, 2002 9:33 am    
Subject: Preprint: Two conference papers concerning the lifting scheme
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Preprint: Two conference papers concerning the lifting scheme

The following two introductory conference papers concerning wavelet
transforms and the lifting scheme are available:

1:

Title: The lifting scheme: A five minute tour

Author: Wim Sweldens

Abstract: In this paper, we give a brief introductory tour to the
lifting scheme, an new method to construct wavelets. We show its
advantages over classical constructions and give pointers to the
literature.

Status: To appear in the proceedings of ICIAM 1995, Hamburg (4 p.)

Available as ftp://ftp.math.sc.edu/pub/wavelet/papers/varia/iciam95.ps.gz


2:

Title: The Lifting Scheme: A new philosophy in biorthogonal
wavelet constructions

Author: Wim Sweldens

Abstract: In this paper we present the basic idea behind the lifting
scheme, a new construction of biorthogonal wavelets which does not use
the Fourier transform. In contrast with earlier papers we introduce
lifting purely from a wavelet transform point of view and only
consider the wavelet basis functions in a later stage. We show how
lifting leads to a faster, fully in-place implementation of the
wavelet transform. Moreover, it can be used in the construction of
second generation wavelets, wavelets that are not necessarily
translates and dilates of one function. A typical example of the
latter are wavelets on the sphere.

Status: To appear in the proceedings of the SPIE 1995 meeting in San
Diego: Wavelet Applications in Signal and Image Processing III
(12 p.).

Available as ftp://ftp.math.sc.edu/pub/wavelet/papers/varia/spie95.ps.gz
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