On the Choice of the Exterior Knots in the B-Spline Basis for a Spline Space.
Abstract
The B-spline representation of a spline on some interval (a,b) requires the introduction of additional knots outside (a,b) that have nothing in common with the spline space itself. Nevertheless, their choice influences the numerical accuracy when the B-spline representation of a spline approximant is to be constructed. In this note we prove that locating all the additional knots at the endpoints a and b of the interval minimizes the norm and is therefore preferable.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1980
- Accession Number
- ADA096665
Entities
People
- Joseph P. Kozak
Organizations
- University of Wisconsin–Madison