Paper Info
Title
On calculating normalized Powell-Sabin B-splines
Abstract
An algorithm is presented for calculating a suitable normalized B-spline representation for Powell-Sabin splines in which the basis functions are all positive, have local support and form a partition of unity. Computationally, the problem is reduced to the solution of a number of linear or quadratic programming problems of small size. Geometrically, each of these can be interpreted as a problem of determining a triangle of minimal area, containing a specific subset of Bézier points. We further consider a number of CAGD applications such as the determination of a suitable set of tangent control triangles and the efficient and stable calculation of the Bézier net of the PS-spline surface.
Year
DOI
Venue
1997
10.1016/S0167-8396(97)81785-2
Computer Aided Geometric Design
Keywords
Field
DocType
bézier net,control points,quadratic programming,powell-sabin splines,linear programming,normalized b-splines,normalized powell-sabin b-splines,quadratic program,partition of unity,linear program
Spline (mathematics),Mathematical optimization,Partition of unity,Interpolation,Bézier curve,Tangent,Linear programming,Basis function,Quadratic programming,Mathematics
Journal
Volume
Issue
ISSN
15
1
Computer Aided Geometric Design
Citations 
PageRank 
References 
36
3.33
5
Authors
1
Name
Order
Citations
PageRank
Paul Dierckx19612.28