×

Multiresolution analysis for implicity defined algebraic spline curves with weighted wavelets. (English) Zbl 1227.65138

Neamtu, Marian (ed.) et al., Approximation theory XII. Proceedings of the 12th international conference, San Antonio, TX, USA, March 4–8, 2007. Brentwood, TN: Nashboro Press (ISBN 978-0-9728482-9-9/hbk). Modern Methods in Mathematics, 191-200 (2008).
Summary: We describe a method to construct a hierarchical representation of a given implicitly defined algebraic spline curve with the help of weighted spline wavelets. These wavelets are adapted to the region of interest, in our case to the region along the curve, by means of a weighted inner product. The application of two different types of weighted spline wavelets is considered and compared with standard spline wavelets.
For the entire collection see [Zbl 1134.41002].

MSC:

65T60 Numerical methods for wavelets
42C40 Nontrigonometric harmonic analysis involving wavelets and other special systems
41A15 Spline approximation