Experimental Generation of the Intersection Curve of Two Cylinders: An Algorithm Based on a New Paradigm
Journal Title: Analele Universitatii "Eftimie Murgu" Resita. Fascicula de Inginerie - Year 2015, Vol 22, Issue 1
Abstract
Computational Geometry is currently using approximation techniques based on convex polygons, with good results in some topics, but with severe limitation of applicability. In this paper we present the first step of a larger project, aiming to lead us to the plane projection of a 3D surface obtained by intersecting two cylinders (a very frequent problem in obtaining the stencils for welded ensembles). As a first step, we present an algorithm for experimentally obtaining the intersection curve of two cylinders. The new paradigm and also the fundamentally new aspect of our project is that we construct our algorithm by simulation of the analytical relations describing the curve, and not by approximation using convex polygons.
Authors and Affiliations
Ioan Halalae, Patrik Silvester Bojan
Keywords
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