Skip to Main content Skip to Navigation
Journal articles

Filling n-sided regions with G1 triangular Coons B-spline patches

Kan-Le Shi 1 Jun-Hai yong 1 Jia-Guang Sun 1, 2 Jean-Claude Paul 2 He-Jin Gu 3 
2 CAD - Computer Aided Design
LIAMA - Laboratoire Franco-Chinois d'Informatique, d'Automatique et de Mathématiques Appliquées, Inria Paris-Rocquencourt
Abstract : Filling n-sided regions is an essential operation in shape and surface modeling. Positional and tangential continuities are highly required in designing and manufacturing. We propose a method for filling n-sided regions with untrimmed triangular Coons B-spline patches, preserving G1 continuity exactly. The algorithm first computes a central point, a central normal, the central, and the corner derivative vectors. Then the region is split into n triangular areas by connecting the central point to each corner of the boundary. These inner curves and all cross-boundary derivatives are computed fulfilling G1 compatibility conditions. And finally, the triangular patches are generated in the Coons B-spline form, one boundary of which is regressed to the central vertex. Neither positional nor tangential error is introduced by this method. And only one degree elevation is needed.
Document type :
Journal articles
Complete list of metadata

Cited literature [19 references]  Display  Hide  Download
Contributor : Thss Tsinghua Connect in order to contact the contributor
Submitted on : Thursday, September 16, 2010 - 5:46:32 AM
Last modification on : Friday, February 4, 2022 - 3:08:32 AM
Long-term archiving on: : Friday, December 17, 2010 - 2:40:04 AM


Files produced by the author(s)




Kan-Le Shi, Jun-Hai yong, Jia-Guang Sun, Jean-Claude Paul, He-Jin Gu. Filling n-sided regions with G1 triangular Coons B-spline patches. The Visual Computer, Springer Verlag, 2010, 26 (6-8), pp.791-800. ⟨10.1007/s00371-010-0468-4⟩. ⟨inria-00517938⟩



Record views


Files downloads