Finite curvature continuous polar patchworks

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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. © 2009 Springer Berlin Heidelberg.

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Karčiauskas, K., & Peters, J. (2009). Finite curvature continuous polar patchworks. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5654 LNCS, pp. 222–234). https://doi.org/10.1007/978-3-642-03596-8_12

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