Wavelets on Irregular Point Sets


Ingrid Daubechies       Igor Guskov       Peter Schröder       Wim Sweldens


Abstract: In this article we review techniques for building and analyzing wavelets on irregular point sets in one and two dimensions. We discuss current results both on the practical and theoretical side. In particular we focus on subdivision schemes and commutation rules. Several examples are included.

Status: Phil. Trans. R. Soc. Lon. A, 357 (no. 1760), pp. 2397-2413, 1999. (Also as part of book Wavelets: The Key to Intermittent Information, edited by B.W. Silverman and J.C. Vassilicos, September 2000).

BiBTeX entry: 


   @article{royal99,
     author = {I. Daubechies and I. Guskov and P. Schr\"oder and W. Sweldens},
     title = {Wavelets on Irregular Point Sets},
     journal = {Phil. Trans. R. Soc. Lond. A},
     volume = 357,
     number = 1760,
     pages = {2397-2413},
     year = {1999}
   }
This paper was presented at the Royal Society discussion meeeting "Wavelets, the key to intermittend information?" held in February 1999. Slides of the presentations

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Wim Sweldens <wim@bell-labs.com>