authors 
Nielson, Gregory M. 
year 
1986 
title 
Rectangular VSplines 
source 
IEEE Computer Graphics and Applications. February, 1986. vol. 6: pp. 3540 : ill. some col. includes bibliography 
summary 
This article describes and presents examples of some techniques for the representation and interactive design of surfaces based on a parametric surface representation that uses vspline curves. These vspline curves, similar in mathematical structure to Bsplines, were developed as a more computationally efficient alternative to splines in tension. Although splines in tension can be modified to allow tension to be applied at each control point, the procedure is computationally expensive. The vspline curve, however, uses more computationally tractable piecewise cubic curves segments, resulting in curves that are just as smoothly joined as those of a standard cubic spine. After presenting a review of vsplines and some new properties, this article extends their application to a rectangular grid of control points. Three techniques and some application examples are presented 
keywords 
parametrization, curved surfaces, representation, curves, Bsplines 
series 
CADline 
references 
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last changed 
2003/06/02 11:58 
