Daubechies, Ingrid and Guskov, Igor and Schröder, Peter and Sweldens, Wim (1999) Wavelets on irregular point sets. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, 357 (1760). pp. 2397-2413. ISSN 1364-503X. doi:10.1098/rsta.1999.0439. https://resolver.caltech.edu/CaltechAUTHORS:20200929-143508083
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Abstract
In this article we review techniques for building and analysing 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.
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| Additional Information: | © 1999 The Royal Society. The work reviewed in this paper was supported in part by grants from the NSF (ACI-9624957, ACI-9721349, DMS-9874082, DMS-9872890), DOE (W-7405-ENG-48), ONR (N00014-96-1-0367 P00004) and AFOSR (F49620-98-1-0044). I.G. was partly supported by a Harold W. Dodds Fellowship and a Summer Internship at Bell Laboratories, Lucent Technologies. | ||||||||||||||||||
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| Subject Keywords: | multiresolution; wavelets; irregular grid; subdivision; mesh; commutation | ||||||||||||||||||
| Issue or Number: | 1760 | ||||||||||||||||||
| DOI: | 10.1098/rsta.1999.0439 | ||||||||||||||||||
| Record Number: | CaltechAUTHORS:20200929-143508083 | ||||||||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20200929-143508083 | ||||||||||||||||||
| Official Citation: | Daubechies Ingrid, Guskov Igor, Schröder Peter and Sweldens Wim 1999 Wavelets on irregular point sets Phil. Trans. R. Soc. A. 357:2397–2413 http://doi.org/10.1098/rsta.1999.0439 | ||||||||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||||||
| ID Code: | 105652 | ||||||||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||||||||
| Deposited By: | George Porter | ||||||||||||||||||
| Deposited On: | 30 Sep 2020 14:36 | ||||||||||||||||||
| Last Modified: | 16 Nov 2021 18:45 |
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