Title
Alpha-spline: a C2 continuous spline with weights and tension control
Abstract
The β-spline provides bins and tension control facilities for creating geometrically continuous curves and surfaces. Although geometric continuity is a more appropriate geometric measurement of smoothness than parametric continuity, parametric continuity is still necessary in some applications. The paper proposes a new C2 continuous spline scheme called the α-spline which provides weights and tension control. The new scheme is based on blending a sequence of singular reparametrized line segments with a piecewise NURBS curve. The idea is extended to produce α-spline surfaces
Year
DOI
Venue
1999
10.1109/SMA.1999.749333
Shape Modeling International
Keywords
DocType
ISBN
geometrically continuous curves,α-spline surfaces,parametric continuity,single domain,n object,singular reparametrized line segments,alpha-spline,piecewise NURBS curve,topological design method,surface fitting,computational geometry,curve fitting,existing geometric design method,c2 continuous spline,infinitely smooth genus,β-spline,C2 continuous spline scheme,splines (mathematics),geometric continuity,geometric measurement,simpler data,tension control
Conference
0-7695-0065-X
Citations 
PageRank 
References 
4
0.49
0
Authors
2
Name
Order
Citations
PageRank
Chiew-Lan Tai1164077.68
Kia-Fock Loe218020.88