Convexity Preserving Interpolatory Subdivision Schemes
โ 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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๐ SIMILAR VOLUMES
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
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 โ Z s \{0}, then its corresponding mask b satisfies b(0) = 1 and b(2ฮฑ) = 0 for all ฮฑ โ Z s \{0}. Such a refinement mask is called a
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
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