1992•Unpublished venueRequires access

Parametric Surface Intersections for Geometric Modeling

J.-M. Chen, Yu Wang, E. L. Guroz, Fritz B. Prinz

Abstract

Abstract A surface-surface intersection algorithm is an important element in the development of a geometric modeler. This paper presents a new algorithm for calculating the intersection curves of two parametric surfaces. Combining the merits of subdivision and global exploration methods, this algorithm is efficient and robust in dealing with the issues related to small loops and singularities. This algorithm is demonstrated with examples of non-uniform rational B-spline surfaces.

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Available abstract

Key concepts: Parametric surface, Intersection (aeronautics), Subdivision, Geometric design, Surface (topology), Parametric statistics, Geometric modeling, Spline (mechanical)