On the stability of the Voronoĭ diagram
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 36 (1996) no. 3, pp. 147-158 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_1996_36_3_a15,
     author = {M. N. Vyalyǐ and E. N. Gordeev and S. P. Tarasov},
     title = {On the stability of the {Vorono\u{i}} diagram},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {147--158},
     year = {1996},
     volume = {36},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_3_a15/}
}
TY  - JOUR
AU  - M. N. Vyalyǐ
AU  - E. N. Gordeev
AU  - S. P. Tarasov
TI  - On the stability of the Voronoĭ diagram
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1996
SP  - 147
EP  - 158
VL  - 36
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_3_a15/
LA  - ru
ID  - ZVMMF_1996_36_3_a15
ER  - 
%0 Journal Article
%A M. N. Vyalyǐ
%A E. N. Gordeev
%A S. P. Tarasov
%T On the stability of the Voronoĭ diagram
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1996
%P 147-158
%V 36
%N 3
%U http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_3_a15/
%G ru
%F ZVMMF_1996_36_3_a15
M. N. Vyalyǐ; E. N. Gordeev; S. P. Tarasov. On the stability of the Voronoĭ diagram. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 36 (1996) no. 3, pp. 147-158. http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_3_a15/

[1] Abellanas M., Garcia J., Hernandez G. et al., “Updating polygonizations”, Comput. Graphics Forum, 12:3 (1993), 143–152 | DOI

[2] Abellanas M., Hurtado F., Ramos P., “Redrawing a graph within a geometric tolerance”, Graph Drawing, Lect. Notes Computer Sci., Springer, Berlin–Heidelberg, 1995 | MR

[3] Preparata F., Sheimos M., Vychislitelnaya geometriya, Mir, M., 1989 | MR | Zbl

[4] Aurenhammer F., “Voronoi diagram — a survey of a fundamental geometric data structure”, ACM Computing Surveys, 23:3 (1991), 345–405 | DOI

[5] Gordeev E. N., “Diagramma Voronogo: obzor”, Raspoznavanie. Klassifikatsiya. Prognoz, Nauka, M., 1991, 41–66 | MR

[6] Klark F., Optimizatsiya i negladkii analiz, Nauka, M., 1988 | MR | Zbl

[7] Makeev V. V., “Stepen otobrazheniya v nekotorykh zadachakh kombinatornoi geometrii”, Geometrich. sb., Kharkov, 1987, 62–66 | Zbl

[8] Voronoi G. F., “Recherches sur les paralleloédres primitifs”, Crelle J., 134 (1908), 198–287 ; 136 (1909), 67–179 | DOI | Zbl | DOI

[9] Burnikel C., Mehlhorn K., Schirra S., “On degeneracy in geometric computations”, Proc. 5th Internat. Conf. on Discrete Opt., Arlington, 1994, 16–23 | MR | Zbl

[10] Leontev V. K., Gordeev E. N., “Kachestvennoe issledovanie traektornykh zadach”, Kibernetika, 1985, no. 5, 81–90

[11] Delone B. N., “Geometriya polozhitelnykh kvadratichnykh form. I; II”, Uspekhi matem. nauk, 1937, no. 3, 16–62 ; 1938, No 4, 102–164