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Finite Curvature Continuous Polar Patchworks

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Mathematics of Surfaces XIII (Mathematics of Surfaces 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5654))

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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.

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References

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Author information

Authors and Affiliations

  1. Vilnius University, Lithuania

    K. Karčiauskas

  2. University of Florida, USA

    J. Peters

Authors
  1. K. Karčiauskas
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  2. J. Peters
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Editor information

Editors and Affiliations

  1. Computer Vision and Pattern Recognition Group,Computer Science, University of York Heslington, YO10-5DD, York, United Kingdom

    Edwin R. Hancock

  2. School of Computer Science, Cardiff University, Cardiff, UK

    Ralph R. Martin

  3. Numerical Geometry Ltd, 26 Abbey Lane, Lode, CB5 9EP, Cambridge, UK

    Malcolm A. Sabin

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© 2009 Springer-Verlag Berlin Heidelberg

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Karčiauskas, K., Peters, J. (2009). Finite Curvature Continuous Polar Patchworks. In: Hancock, E.R., Martin, R.R., Sabin, M.A. (eds) Mathematics of Surfaces XIII. Mathematics of Surfaces 2009. Lecture Notes in Computer Science, vol 5654. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03596-8_12

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  • DOI: https://doi.org/10.1007/978-3-642-03596-8_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-03595-1

  • Online ISBN: 978-3-642-03596-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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