Spline Functions and Surfaces
Abstract
The goal was to study the use of (smooth) piecewise polynomial spaces for the approximation of functions in one and, preferably, in several variables and find a better understanding of how well one can approximate from specific spaces, for specific schemes for approximation, including good bases for such spaces, and to make inroads on the problem of extending techniques for curve fitting by smoothly patched curves to surface interpolation. Progress was made on these questions, and on two related but unanticipated projects: (i) a monograph on box splines (to make available in easily accessible form the many results on box splines obtained by us and others since their introduction by us ten years ago); and (ii) what now looks like the 'right' approach to polynomial interpolation in several variables.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1990
- Accession Number
- ADA230651
Entities
People
- Carl R. de Boor
Organizations
- University of Wisconsin–Madison