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Taxonomy of interpolation constraints on recursive subdivision curves

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Abstract

This paper is the first of two, which together describe and classify the various situations that any complete study of interpolation constraints for a recursive subdivision surface needs to consider. They do so in the form of a systematic taxonomy of situations. Presented here are curve cases, which provide good illustrations of principles which will be used in both contexts; surfaces will be addressed in the second paper. Known results are classified and open questions identified.

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Authors and Affiliations

  1. Dept. of Math. & Computer Science, American University of Beirut, Beirut, PO Box 11-236, Lebanon E-mail: anasri@aub.edu.lb, Lebanon

    Ahmad H. Nasri

  2. Numerical Geometry Ltd, 26 Abbey Lane, Lode, Cambridge CB5 9EP, United Kingdom E-mail: malcolm@geometry.demon.co.uk, UK

    Malcolm A. Sabin

Authors
  1. Ahmad H. Nasri
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  2. Malcolm A. Sabin
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Published online: 14 May 2002

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Nasri, A., Sabin, M. Taxonomy of interpolation constraints on recursive subdivision curves. Visual Comp 18, 259–272 (2002). https://doi.org/10.1007/s003710100154

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  • DOI: https://doi.org/10.1007/s003710100154

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