ITEM METADATA RECORD
Title: A normalized basis for quintic Powell-Sabin splines
Authors: Speleers, Hendrik
Issue Date: Jan-2010
Publisher: Department of Computer Science, K.U.Leuven
Series Title: TW Reports vol:TW556
Abstract: We construct a suitable normalized B-spline representation for C2-continuous quintic Powell-Sabin splines. The basis functions have a local support, they are nonnegative, and they form a partition of unity. The construction is based on the determination of a set of triangles that must contain a specific set of points. We are able to define control points and cubic control polynomials which are tangent to the spline surface. We also show how to compute the Bézier control net of such a spline in a stable way.
URI: 
Publication status: published
KU Leuven publication type: IR
Appears in Collections:Numerical Analysis and Applied Mathematics Section

Files in This Item:
File Description Status SizeFormat
TW556.pdfDocument Published 646KbAdobe PDFView/Open

 


All items in Lirias are protected by copyright, with all rights reserved.