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The Convex Hull of Freeform Surfaces

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Abstract

We present an algorithm for computing the convex hull of freeform rational surfaces. The convex hull problem is reformulated as one of finding the zero-sets of polynomial equations; using these zero-sets we characterize developable surface patches and planar patches that belong to the boundary of the convex hull.

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Authors and Affiliations

  1. School of Computer Science and Engineering, Seoul National University, Seoul, 151-742, Korea

    J.-K. Seong

  2. Dept. of Computer Science, Technion, Israel Institute of Technology, Haifa, 32000, Israel

    G. Elber

  3. Dept. of Computer and Information Sciences, University of Alabama at Birmingham, Birmingham, AL 35294-1170

    J. K. Johnstone

  4. School of Computer Science and Engineering, Institute of Computer Technology, Seoul National University, Seoul, 151-742, Korea

    M.-S. Kim

Authors
  1. J.-K. Seong
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  2. G. Elber
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  3. J. K. Johnstone
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  4. M.-S. Kim
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Correspondence to J.-K. Seong.

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Seong, JK., Elber, G., Johnstone, J. et al. The Convex Hull of Freeform Surfaces. Computing 72, 171–183 (2004). https://doi.org/10.1007/s00607-003-0055-x

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  • DOI: https://doi.org/10.1007/s00607-003-0055-x

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