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Abstract: . We study the smoothness of the limit function for one dimensional unequally spaced interpolating subdivision schemes. The new grid points introduced at every level can lie in irregularly spaced locations between old, adjacent grid points and not only midway as is usually the case. For the natural generalization of the four point scheme introduced by Dubuc and Dyn, Levin, and Gregory, we show that, under some geometric restrictions, the limit function is always C 1 ; under slightly stronger... (Update)
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.... used for data on irregular point sets, remapping these basis functions to the actual grid, makes the irregularities show up in the output [1, 2]. Contact information: Evelyne Vanraes, Dep. of Comp. Science, Celestijnenlaan 200A, B 3001 Leuven, Belgium, phone: 32 16 32...
...rimtrix, so that lso [ H[ is uniformly bounded. There is a useful connection with irregular Deslauriers Dubuc iterTolatig subdivision [11, 13, 15]. A subdivision step of the sequence Aj in the Deslauriers Dubuc scheme of order 2d evaluates the interpolating polynomial through...
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0.3: Wavelets on Irregular Point Sets - Ingrid Daubechies, Igor Guskov.. (1999) (Correct)
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0.1: Commutation For Irregular Subdivision - Ingrid Daubechies, Igor Guskov.. (1998) (Correct)
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9: The lifting scheme: A construction of second generation wavelets - Sweldens - 1995
6: Interpolation through an iterative scheme (context) - Dubuc - 1986
5: Multivariate Subdivision Schemes and Divided Differences - GUSKOV - 1998
BibTeX entry: (Update)
I. Daubechies, I. Guskov, and W. Sweldens. Regularity of irregular subdivision. Constr. Approx., to appear. http://citeseer.ist.psu.edu/article/daubechies98regularity.html More
@misc{ daubechies-regularity,
author = "I. Daubechies and I. Guskov and W. Sweldens",
title = "Regularity of irregular subdivision",
text = "I. Daubechies, I. Guskov, and W. Sweldens. Regularity of irregular subdivision.
Constr. Approx., to appear.",
url = "citeseer.ist.psu.edu/article/daubechies98regularity.html" }
Citations (may not include all citations):205 Stationary subdivision (context) - Cavaretta, Dahmen et al. - 1991
12 Computing surfaces invariant under subdivision (context) - Cavaretta, Micchelli - 1987
6 Number 27 in Applied Mathematical Sciences (context) - De Boor, guide et al. - 1978
The graph only includes citing articles where the year of publication is known.
Documents on the same site (http://www.math.princeton.edu/~ivguskov/papers.html):
Commutation For Irregular Subdivision - Ingrid Daubechies, Igor Guskov.. (1998) (Correct)
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