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Convexity Preserving Interpolatory Subdivision Schemes

โœ Scribed by F. Kuijt; R. van Damme


Publisher
Springer
Year
1998
Tongue
English
Weight
229 KB
Volume
14
Category
Article
ISSN
0176-4276

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๐Ÿ“œ SIMILAR VOLUMES


Monotonicity Preserving Subdivision Sche
โœ I. Yadshalom ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 479 KB

In this paper we discuss a class of subdivision schemes with a finite support suitable for curve design. We analyze the case where the masks of the scheme and the associated difference process are positive. We show that these schemes generate continuous functions of bounded variation, and that the m

Interpolatory Subdivision Schemes Induce
โœ Rong-Qing Jia ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 77 KB

This paper is devoted to a study of interpolatory refinable functions. If a refinable function ฯ† on R s is continuous and fundamental, i.e., ฯ†(0) = 1 and ฯ†(ฮฑ) = 0 for ฮฑ โˆˆ Z s \{0}, then its corresponding mask b satisfies b(0) = 1 and b(2ฮฑ) = 0 for all ฮฑ โˆˆ Z s \{0}. Such a refinement mask is called a

Approximation order of interpolatory non
โœ Nira Dyn; Philipp Grohs; Johannes Wallner ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 493 KB

Linear interpolatory subdivision schemes of C r smoothness have approximation order at least r + 1. The present paper extends this result to nonlinear univariate schemes which are in proximity with linear schemes in a certain specific sense. The results apply to nonlinear subdivision schemes in Lie

Full rank interpolatory subdivision sche
โœ Costanza Conti; Mariantonia Cotronei; Tomas Sauer ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 652 KB

In this extension of earlier work, we point out several ways how a multiresolution analysis can be derived from a finitely supported interpolatory matrix mask which has a positive definite symbol on the unit circle except at -1. A major tool in this investigation will be subdivision schemes that are