Cumincad : CUMINCAD Papers : Paper 60c5:An Operator Calculus for Surface and Volume Modeling

authors	Gordon, William J.
year	1983
title	An Operator Calculus for Surface and Volume Modeling
source	IEEE Computer Graphics and Applications October, 1983. vol. 3: pp. 18-22 : ill. includes bibliography.
summary	This article briefly describes the mathematical techniques underlying surface and volume modeling techniques in current practice. The first part outlines what might be termed an operator calculus for the approximation and interpolation of functions of more than one independent variable. This operator calculus uses operator multiplication and Boolean addition to compound the linear operators associated with simple bivariate and multivariate interpolation/approximation schemes. The result is a distributive lattice of approximation operators. The other two sections of the article contain specific examples of how this operator calculus leads to practical techniques for sculptured surface and volume modeling
keywords	curved surfaces, representation, solid modeling, boolean operations
series	CADline
references	Content-type: text/plain
last changed	2003/06/02 13:58