Geodesic
Algorithm for generating a conformal quasi-hierarchical triangular mesh that weakly $\delta$-approximates given polygonal lines
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 5, pp. 874-878

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An algorithm is proposed for generating a conformal quasi-hierarchical triangular mesh that approximates a set of given polygonal lines to accuracy $\delta$. The solvability of the problem is guaranteed by the possibility of shifting the polygonal lines within their $\delta$-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 $\delta$ (of order $\log_2^2\delta^{-1}$). The algorithm is applied to a particular set of polygonal lines. 
@article{ZVMMF_2009_49_5_a8,
     author = {V. N. Chugunov},
     title = {Algorithm for generating a~conformal quasi-hierarchical triangular mesh that weakly $\delta$-approximates given polygonal lines},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {874--878},
     publisher = {mathdoc},
     volume = {49},
     number = {5},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_5_a8/}
}
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V. N. Chugunov. Algorithm for generating a conformal quasi-hierarchical triangular mesh that weakly $\delta$-approximates given polygonal lines. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 5, pp. 874-878. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_5_a8/