On the local shape effect of a moving control point

Authors:
G. D. Koras;P. D. Kaklis
Affiliations:
National Technical University of Athens (NTUA), School of Naval Architecture and Marine Engineering, Ship Design Laboratory (SDL), 9 Heroon Polytechneiou, Zografou, Athens 15773, Greece;National Technical University of Athens (NTUA), School of Naval Architecture and Marine Engineering, Ship Design Laboratory (SDL), 9 Heroon Polytechneiou, Zografou, Athens 15773, Greece
Venue:
Computer Aided Geometric Design
Year:
2003

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Abstract

In this paper we prove that the domain, where a control point of a parametric surface is permitted to move in order to ascertain local convexity at a finite set of parametric points, is a convex polyhedron. This result can be exploited for fine surface design, which is herein illustrated for two test surfaces.