Euclidean position in Euclidean 2-orbifolds

Computational Geometry - Tập 27 - Trang 27-41 - 2004
C. Cortés1, A. Márquez1, J. Valenzuela2
1Dep. Matemática Aplicada I, University of Seville, Spain
2Dep. Matemáticas, University of Extremadura, Spain

Tài liệu tham khảo

Bishop, 1977, Decomposition of cut loci, 65, 133 C. Cortés, D.I. Grima, F. Hurtado, A. Márquez, F. Santos, J. Valenzuela, Transforming triangulations of polygons on nonplanar surfaces, Discrete Appl. Math. (2002), submitted for publication. Preliminary version available at http://www.us.es/dma1euita/Miembros/ccortes/ccortes.htm, 2002 C. Cortés, A. Márquez, J. Valenzuela, Euclidean position in euclidean 2-orbifolds, Extended version available at http://www.us.es/dma1euita/Miembros/ccortes/ccortes.htm, 2003 do Carmo, 1976 Ehrlich, 1979, Dirichlet regions in manifolds without conjugate points, Comment. Math. Helvetici, 54, 642, 10.1007/BF02566298 Grima, 2001 Gruber, 1993, History of convexity Mani-Levitska, 1993, Characterizations of convex sets M. Mazón, Diagramas de Voronoi en caleidoscopios, PhD Thesis, Universidad de Cantabria, Spain, 1992 Mazón, 1997, Voronoi diagrams on orbifolds, Computational Geometry, 8, 219, 10.1016/S0925-7721(96)00017-X Menger, 1928, Urtersuchungen über allgemeine Metrik, Math. Ann., 100, 75, 10.1007/BF01448840 Nikulin, 1987 Tanaka, 1992, On the cut loci of a von Mangoldt's surface of revolution, J. Math. Soc. Japan, 44, 631, 10.2969/jmsj/04440631