Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Normal multiresolution approximation of curves
KTH, Superseded Departments, Numerical Analysis and Computer Science, NADA.ORCID iD: 0000-0002-6321-8619
2004 (English)In: Constructive approximation, ISSN 0176-4276, E-ISSN 1432-0940, Vol. 20, no 3, 399-463 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 study properties such as regularity, convergence, and stability of a normal multiresolution analysis. In particular, we show that these properties critically depend on the underlying subdivision scheme and that, in general, the convergence of normal multiresolution approximations equals the convergence of the underlying subdivision scheme.

Place, publisher, year, edition, pages
2004. Vol. 20, no 3, 399-463 p.
Keyword [en]
subdivision, wavelet, normal mesh, normal multiresolution, lifting, 2-scale difference-equations, subdivision schemes, regularity
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-23402DOI: 10.1007/s00365-003-0543-4ISI: 000221343900004Scopus ID: 2-s2.0-7444252189OAI: oai:DiVA.org:kth-23402DiVA: diva2:342100
Note
QC 20100525 QC 20111103Available from: 2010-08-10 Created: 2010-08-10 Last updated: 2017-12-12Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Authority records BETA

Runborg, Olof

Search in DiVA

By author/editor
Runborg, Olof
By organisation
Numerical Analysis and Computer Science, NADA
In the same journal
Constructive approximation
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 42 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf