Construction of curves and surfaces using numerical optimization techniques

Authors:
David R Ferguson
Affiliations:
-
Venue:
Computer-Aided Design
Year:
1986

Citing 3
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Mathematical and Computer Modelling: An International Journal

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Abstract

This paper considers the problems that lie in the construction of curves and surfaces. In particular, it is concerned with the modelling of curves and surfaces using spline curves and tensor product spline surfaces. It aims to show that many of the problems in this area (which are described in the paper) can be handled by the use of B-spline representation of splines and by the employment of numerical optimization and linear algebra techniques. Examples are presented, using the techniques discussed to solve some problems.