Self-intersection avoidance and integral properties of generalized cylinders

Authors:
I. Gansca;W. F. Bronsvoort;G. Coman;L. Tambulea
Affiliations:
Technical University, Department of Mathematics, C. Daicoviciu nr. 15, Cluj-Napoca 3400, Romania;Faculty of Information Technology and Systems, Delft University of Technology, Mekelweg 4, 2628 CD Delft, Netherlands;"Babes-Bolyai" University, Mathematics and Computer Science Faculty, M. Kogalniceanu nr. 1, Cluj-Napoca 3400, Romania;"Babes-Bolyai" University, Mathematics and Computer Science Faculty, M. Kogalniceanu nr. 1, Cluj-Napoca 3400, Romania
Venue:
Computer Aided Geometric Design
Year:
2002

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Abstract

A generalized cylinder is an object bounded by a surface generated by moving a 2D contour curve along a 3D spine curve, possibly scaling the contour along the spine, and two end planes. Several important properties of such objects are presented. In particular, conditions to avoid local and global self-intersection of generalized cylinders are given, and some of their integral properties, such as area and volume, are discussed.