Normal multiresolution approximation of curves
2004 (English)In: Constructive approximation, ISSN 0176-4276, E-ISSN 1432-0940, Vol. 20, no 3, 399-463 p.Article in journal (Refereed) Published
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.
subdivision, wavelet, normal mesh, normal multiresolution, lifting, 2-scale difference-equations, subdivision schemes, regularity
IdentifiersURN: urn:nbn:se:kth:diva-23402DOI: 10.1007/s00365-003-0543-4ISI: 000221343900004ScopusID: 2-s2.0-7444252189OAI: oai:DiVA.org:kth-23402DiVA: diva2:342100
QC 20100525 QC 201111032010-08-102010-08-102011-11-03Bibliographically approved