Change search
ReferencesLink to record
Permanent link

Direct link
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KTH, Superseded Departments, Numerical Analysis and Computer Science, NADA.ORCID iD: 0000-0002-6321-8619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
URN: urn:nbn:se:kth:diva-23402DOI: 10.1007/s00365-003-0543-4ISI: 000221343900004ScopusID: 2-s2.0-7444252189OAI: diva2:342100
QC 20100525 QC 20111103Available from: 2010-08-10 Created: 2010-08-10 Last updated: 2011-11-03Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

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

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 32 hits
ReferencesLink to record
Permanent link

Direct link