The design process in the automotive industry requires the construction of high-quality surfaces with strong shape conditions. In the interactive interface to the procedure given, the operator controls the shape by setting desired curvature, convexity, smoothness, and fitting conditions. The procedure begins by constructing a preliminary surface with the desired smoothness from a network of curves. Both the network and the patch topology are determined from a set of ordered fitting points. Then the preliminary surface is turned into a convex one by transversal modifications. By a suitable linearization of the normal curvature, the problem is turned into a sequence of linear programming problems. These are solved by an implementation of the Karmarkar method.
Automatic construction of surfaces with prescribed shape
Automatische Konstruktion von Oberflaechen mit vorgegebener Gestalt
Computer Aided Design ; 20 , 6 ; 317-324
1988
8 Seiten, 17 Quellen
Aufsatz (Zeitschrift)
Englisch
CAD/CAM , BENUTZEROBERFLAECHE , RECHNERISCHE GEOMETRIE , KRAFTFAHRZEUGBAU , RECHNERUNTERSTUETZTER ENTWURF , LINEARE OPTIMIERUNG , KRAFTFAHRZEUG , RECHNERUNTERSTUETZTE FERTIGUNG , OBERFLAECHE , ENTWURFSAUTOMATISIERUNG , KURVENANPASSUNG , RECHNERANWENDUNG IM MASCHINENBAU , AUTOMOBILINDUSTRIE , KRAFTWAGEN , MATHEMATICS COMPUTING
Optimal construction of a mass-spring system with prescribed modal and spectral data (sv960777)
Online Contents | 1997
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