Refinable bi-quartics for design and analysis. (September 2018)

• Record Type: Journal Article
• Authors: Karčiauskas, Kȩstutis; Peters, Jörg
• Is Part Of: Computer aided design. Volume 102(2018)
• Page Start: 204
• Page End: 214
• Publication Date: 2018-09
• Subjects: Smooth surface -- Irregularity -- Refinable functions -- Good highlight lines -- Subdivision -- G1 cap; Computer-aided design -- Periodicals; Engineering design -- Data processing -- Periodicals; Computer graphics -- Periodicals; Conception technique -- Informatique -- Périodiques; Infographie -- Périodiques; Computer graphics; Engineering design -- Data processing; Periodicals; Electronic journals; 620.00420285
• DOI: 10.1016/j.cad.2018.05.001
• Languages: English
• ISSNs: 0010-4485

Abstract

Abstract: To be directly useful both for shape design and a thin shell analysis, a surface representation has to satisfy three properties: (1) be compatible with CAD surface representations, (2) yield generically a good highlight distribution, and (3) offer a refinable space of functions on the surface. Here we propose a new construction, based on a number of recently-developed techniques, that satisfies all three criteria. The construction converts quad meshes with irregularities, where more or fewer than four quads meet, to C 1 (or, at the cost of more pieces, C 2 ) bi-4 surface consisting of subdivision rings for the main body completed by a tiny G 1 cap. Graphical abstract: Highlights: The construction converts quad meshes with irregularities to a bi-4 surface. The surface consists of subdivision rings completed by a tiny G 1 cap. The rings join C 1 or, at the cost of more pieces, C 2 . The surface is compatible with CAD, yields good highlight distributions. A refinable space of functions on the surface.