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Proceedings Paper

G1 smooth interpolation of curve meshes using rational Bezier patches
Author(s): Xiuzi Ye
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Paper Abstract

In this paper, a new method for GC1 interpolating cubic unrestricted curve meshes is presented. By choosing the rational combination-functions which ensure the compatibility of twists at nodepoints, quintic vector-valued first order cross-boundary derivatives of surface patches are generated. The resulting surface patches are taken to be the Coons-Boolean sum patches interpolating the boundary information obtained, and are converted to rational biquintic Bezier patches. Compared with other similar interpolation methods, this method has the advantages that it uses lower degree (biquintic) Bezier patches, and that it is local.

Paper Details

Date Published: 22 March 1996
PDF: 6 pages
Proc. SPIE 2644, Fourth International Conference on Computer-Aided Design and Computer Graphics, (22 March 1996); doi: 10.1117/12.235539
Show Author Affiliations
Xiuzi Ye, Massachusetts Institute of Technology (United States)

Published in SPIE Proceedings Vol. 2644:
Fourth International Conference on Computer-Aided Design and Computer Graphics
Shuzi Yang; Ji Zhou; Cheng-Gang Li, Editor(s)

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