Geodesic
On the Quasiisometric Mapping Preserving Simplex Orientation
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 1, pp. 20-23

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The paper concerns simplex orientation preserving under the quasiisometric mapping. This problem arises from the problem of mesh generation using different kinds of mappings. We find the conditions for the quasiisometric mapping to be simplex orientation preserving. 
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     author = {A. V. Boluchevskaya},
     title = {On the {Quasiisometric} {Mapping} {Preserving} {Simplex} {Orientation}},
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A. V. Boluchevskaya. On the Quasiisometric Mapping Preserving Simplex Orientation. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 1, pp. 20-23. http://geodesic.mathdoc.fr/item/ISU_2013_13_1_a4/