ISSN:
1432-0940
Keywords:
Key words. Regularity, Irregular samples, Subdivision, Interpolation, Scaling function, Wavelet. AMS Classification. 41A05, 65Y25, 26A16, 65905.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
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 restrictions we show that the limit function is almost C 2 , the same regularity as in the regularly spaced case.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s003659900114
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