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Algorithm for generating a conformal quasi-hierarchical triangular mesh that weakly δ-approximates given polygonal lines

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Abstract

An algorithm is proposed for generating a conformal quasi-hierarchical triangular mesh that approximates a set of given polygonal lines to accuracy δ. The solvability of the problem is guaranteed by the possibility of shifting the polygonal lines within their δ-neighborhood. The resulting mesh consists of a small number of triangles and admits a multigrid implementation. An estimate is given for the growing number of mesh triangles with decreasing δ (of order log 22 δ−1). The algorithm is applied to a particular set of polygonal lines.

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Authors and Affiliations

  1. Institute of Numerical Mathematics, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991, Russia

    V. N. Chugunov

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  1. V. N. Chugunov
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Correspondence to V. N. Chugunov.

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Original Russian Text © V.N. Chugunov, 2009, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2009, Vol. 49, No. 5, pp. 874–878.

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Chugunov, V.N. Algorithm for generating a conformal quasi-hierarchical triangular mesh that weakly δ-approximates given polygonal lines. Comput. Math. and Math. Phys. 49, 842–845 (2009). https://doi.org/10.1134/S0965542509050091

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  • DOI: https://doi.org/10.1134/S0965542509050091

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