Finite Curvature Continuous Polar Patchworks

Authors:
K. Karčiauskas;J. Peters
Affiliations:
Vilnius University, Lithuania;University of Florida, USA
Venue:
Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII
Year:
2009

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Abstract

We present an algorithm for completing a C 2 surface of up to degree bi-6 by capping an n -sided hole with polar layout. The cap consists of n tensor-product patches, each of degree 6 in the periodic and degree 5 in the radial direction. To match the polar layout, one edge of these patches is collapsed. We explore and compare with alternative constructions, based on more pieces or using total-degree, triangular patches.