Geometric control of G2-cubic A-splines

被引：16

作者：

Paluszny, M

Patterson, RR

机构：

[1] Cent Univ Venezuela, Fac Ciencias, Ctr Comp Graf & Geometria Aplicada, Caracas 1041 A, Venezuela

[2] Indiana Univ Purdue Univ, Dept Math Sci, Indianapolis, IN 46202 USA

来源：

COMPUTER AIDED GEOMETRIC DESIGN | 1998年 / 15卷 / 03期

关键词：

D O I：

10.1016/S0167-8396(97)00031-9

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

A-splines are piecewise algebraic curves, constructed in a control polygon that is a sequence of triangles meeting at the vertices, The are in a given triangle is a cubic segment that joins these vertices and interpolates also the slope and curvature at each endpoint. This are in each triangle is controlled by three other shape handles: an interior point that is interpolated, the slope at the interior point, and a tension parameter, The individual arcs can never be singular and are always convex. An inflection point of an A-spline must be placed at a junction point. (C) 1998 Elsevier Science B.V.

引用

页码：261 / 287

页数：27

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