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Proceedings of CAD'18, 2018, 42-46
Skeletal Structures for Modeling Complex Chamfers and Fillets

Martin Held, Peter Palfrader, University of Salzburg

Abstract. A chamfer is a sloping surface or edge that provides a transition between two faces of an object. Similarly, a fillet is the rounding-off of an edge.  Both chamfers and fillets may be formed among either inside or outside adjoining faces of an object and are widely applied in manufacturing as well as in other disciplines, e.g., in architecture.  Their use ranges from easing otherwise sharp edges to modeling welds and material unremovable by machine tools and ends in purely aesthetic applications. We use skeletal structures such as the medial axis and its straight-line relative, the straight skeleton, to model both chamfers and fillets. In a nutshell, these skeletal structures partition the plane into regions such that all points of one region are closer to one input entity than to all other input entities. The precise meaning of ``closer'' and ``input entity'' depends on the specific skeletal structure.

Keywords. Roof, Chamfer, Fillet, Voronoi diagram, Straight Skeleton

DOI: 10.14733/cadconfP.2018.42-46