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Evaluation of Boolean operations between free-form solids using extended simplicial chains and PN triangles

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Abstract

This paper presents a method to evaluate Boolean operations between free-form solids modeled using Extended Simplicial Chains (ESCs). The ESC model is a formal system to represent not only the boundary, but also the volume of free-form solids, that allows the development of simple and robust algorithms. In this implementation of the ESC model, the free-form solids and the results of the operations are bounded by PN triangles and represented by ESCs, and the surface intersection and trimming are computed using adaptive subdivision of the patches and a point in solid test specifically designed for ESCs.

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Authors and Affiliations

  1. Departamento de Informática, Universidad de Jaén, Campus de Las Lagunillas s/n, 23071, Jaén, Spain

    Á. L. García, J. Ruiz de Miras & F. R. Feito

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  1. Á. L. García
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  2. J. Ruiz de Miras
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  3. F. R. Feito
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Correspondence to Á. L. García.

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García, Á.L., Ruiz de Miras, J. & Feito, F.R. Evaluation of Boolean operations between free-form solids using extended simplicial chains and PN triangles. Vis Comput 27, 531–541 (2011). https://doi.org/10.1007/s00371-011-0566-y

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