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Convergence of Cascade Algorithms in Sobolev Spaces Associated with Inhomogeneous Refinement Equations

โœ Scribed by Song Li


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
117 KB
Volume
104
Category
Article
ISSN
0021-9045

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๐Ÿ“œ SIMILAR VOLUMES


Convergence of Cascade Algorithms in Sob
โœ Song Li ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 130 KB

This paper is concerned with multivariate inhomogeneous refinement equations written in the form ฯ• x = ฮฑโˆˆ s a ฮฑ ฯ• Mx -ฮฑ + g x x โˆˆ s , where ฯ• is the unknown function defined on the s-dimentional Euclidean space s g is a given compactly supported function on s , a is a finitely supported sequence on

Stability Implies Convergence of Cascade
โœ Di-Rong Chen; Xiaobo Zheng ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 113 KB

This article proves that the stability of the shifts of a refinable function vector ensures the convergence of the corresponding cascade algorithm in Sobolev space to which the refinable function vector belongs. An example of Hermite interpolants is presented to illustrate the result. ๏ฃฉ 2002 Elsevie