G1 smooth interpolation of curve meshes using rational Bezier patches

Xiuzi Ye

doi:10.1117/12.235539

22 March 1996 G1 smooth interpolation of curve meshes using rational Bezier patches

Xiuzi Ye

Proceedings Volume 2644, Fourth International Conference on Computer-Aided Design and Computer Graphics; (1996) https://doi.org/10.1117/12.235539
Event: Fourth International Conference on Computer-Aided Design and Computer Graphics, 1995, Wuhan, China

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.

Citation Download Citation

Xiuzi Ye "G1 smooth interpolation of curve meshes using rational Bezier patches", Proc. SPIE 2644, Fourth International Conference on Computer-Aided Design and Computer Graphics, (22 March 1996); https://doi.org/10.1117/12.235539

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