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Quadrangular Mesh Generation Using Centroidal Voronoi Tessellation on Voxelized Surface

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Combinatorial Image Analysis (IWCIA 2018)

Part of the book series: Lecture Notes in Computer Science ((LNCCN,volume 11255))

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Abstract

We propose an efficient algorithm for isotropic tessellation on a voxelized surface. Owing to execution in the voxel space, the algorithm is easily compliant to parallel computation. We show how an input triangle mesh can readily be restructured to an isotropic quadrangular mesh after a post-processing on the tessellated surface. We also show how different regions of the quad mesh can be decimated to finer quads in an adaptive manner based on digital planarity. Necessary theoretical analysis and experimental results have been provided to adjudge its merit.

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Authors and Affiliations

  1. Department of Computer Science and Engineering, Indian Institute of Technology, Kharagpur, Kharagpur, India

    Ashutosh Soni & Partha Bhowmick

Authors
  1. Ashutosh Soni
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  2. Partha Bhowmick
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Correspondence to Partha Bhowmick .

Editor information

Editors and Affiliations

  1. State University of New York at Fredonia, Fredonia, NY, USA

    Reneta P. Barneva

  2. State University of New York, Buffalo, NY, USA

    Valentin E. Brimkov

  3. University of Porto, Porto, Portugal

    João Manuel R.S. Tavares

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Soni, A., Bhowmick, P. (2018). Quadrangular Mesh Generation Using Centroidal Voronoi Tessellation on Voxelized Surface. In: Barneva, R., Brimkov, V., Tavares, J. (eds) Combinatorial Image Analysis. IWCIA 2018. Lecture Notes in Computer Science(), vol 11255. Springer, Cham. https://doi.org/10.1007/978-3-030-05288-1_8

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  • DOI: https://doi.org/10.1007/978-3-030-05288-1_8

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  • Print ISBN: 978-3-030-05287-4

  • Online ISBN: 978-3-030-05288-1

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