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Introduction to normal multiresolution approximation
KTH, School of Computer Science and Communication (CSC), Numerical Analysis and Computer Science, NADA.ORCID iD: 0000-0002-6321-8619
2005 (English)In: Lecture Notes in Computational Science and Engineering, ISSN 1439-7358, Vol. 44, 205-224 p.Article in journal (Refereed) Published
Abstract [en]

A multiresolution analysis of a curve is normal if each wavelet detail vector with respect to a certain subdivision scheme lies in the local normal direction. In this paper we give an introduction to the analysis of normal approximations in [3]. We define the normal approximation in its basic form and show simplified proofs of the method's convergence, approximation quality and stability. We also explain how higher order approximations can be constructed using subdivision operators and give a brief summary of the corresponding results for these more general schemes.

Place, publisher, year, edition, pages
2005. Vol. 44, 205-224 p.
Keyword [en]
Normal mesh, Normal multiresolution, Subdivision, Wavelet
National Category
Computer Science
Identifiers
URN: urn:nbn:se:kth:diva-148549Scopus ID: 2-s2.0-84880268127OAI: oai:DiVA.org:kth-148549DiVA: diva2:737849
Note

QC 20140814

Available from: 2014-08-14 Created: 2014-08-08 Last updated: 2017-12-05Bibliographically approved

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Runborg, Olof

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