Generalized offsetting of planar structures using skeletons. Issue 5 (2nd September 2016)

• Record Type: Journal Article
• Authors: Held, Martin; Huber, Stefan; Palfrader, Peter
• Is Part Of: Computer-aided design and applications. Volume 13:Issue 5(2016)
• Page Start: 712
• Page End: 721
• Publication Date: 2016-09-02
• Subjects: Weighted offset -- variable-radius offset -- generalized Voronoi diagram; Computer-aided design -- Congresses; Computer-aided design -- Periodicals; Engineering design -- Data processing -- Congresses; Engineering design -- Periodicals; 620.00420285
• DOI: 10.1080/16864360.2016.1150718
• Languages: English
• ISSNs: 1686-4360

Abstract

ABSTRACT: We study different means to extend offsetting based on skeletal structures beyond the well-known constant-radius and mitered offsets supported by Voronoi diagrams and straight skeletons, for which the orthogonal distance of offset elements to their respective input elements is constant and uniform over all input elements. Our main contribution is a new geometric structure, called variable-radius Voronoi diagram, which supports the computation of variable-radius offsets, i.e., offsets whose distance to the input is allowed to vary along the input. We discuss properties of this structure and sketch a prototype implementation that supports the computation of variable-radius offsets based on this new variant of Voronoi diagrams. GRAPHICAL ABSTRACT: