Geodesic
On the length preserving approximation of plane curves by circular arcs
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 4, pp. 588-604

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A technique for the length preserving approximation of plane curves by two circular arcs is analyzed. The conditions under which this technique can be applied are extended, and certain consequences of the proved results unrelated to the approximation problem are discussed. More precisely, inequalities for the length of a convex spiral arc subject to the given boundary conditions are obtained. Conjectures on curve closeness conditions obtained using computer simulation are discussed. 
@article{ZVMMF_2017_57_4_a1,
     author = {A. I. Kurnosenko},
     title = {On the length preserving approximation of plane curves by circular arcs},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {588--604},
     publisher = {mathdoc},
     volume = {57},
     number = {4},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_4_a1/}
}
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A. I. Kurnosenko. On the length preserving approximation of plane curves by circular arcs. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 4, pp. 588-604. http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_4_a1/