Geodesic
Object search. Dynamics. Geometry. Graphics
Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 1, pp. 3-34.

Voir la notice de l'article provenant de la source Math-Net.Ru

The paper describes certain geometric methods for solution of the search problem of several searching and several evading objects in the plane. 
@article{FPM_2005_11_1_a0,
     author = {E. V. Shikin and S. B. Berezin},
     title = {Object search. {Dynamics.} {Geometry.} {Graphics}},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {3--34},
     publisher = {mathdoc},
     volume = {11},
     number = {1},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2005_11_1_a0/}
}
TY  - JOUR
AU  - E. V. Shikin
AU  - S. B. Berezin
TI  - Object search. Dynamics. Geometry. Graphics
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2005
SP  - 3
EP  - 34
VL  - 11
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FPM_2005_11_1_a0/
LA  - ru
ID  - FPM_2005_11_1_a0
ER  - 
%0 Journal Article
%A E. V. Shikin
%A S. B. Berezin
%T Object search. Dynamics. Geometry. Graphics
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2005
%P 3-34
%V 11
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FPM_2005_11_1_a0/
%G ru
%F FPM_2005_11_1_a0
E. V. Shikin; S. B. Berezin. Object search. Dynamics. Geometry. Graphics. Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 1, pp. 3-34. http://geodesic.mathdoc.fr/item/FPM_2005_11_1_a0/

[1] Adzhiev V., Pasko A., Savchenko V., Surin A., “Modelirovanie form s ispolzovaniem veschestvennykh funktsii”, Otkrytye sistemy, 1996, no. 5, 14–18

[2] Berezin S. B., Teoretiko-mnozhestvennye operatsii v zadache vizualizatsii peremennykh informatsionnykh mnozhestv, Dep. v VINITI, No 127-B00, 2000

[3] Berezin S. B., “Informatsionnye mnozhestva v zadache dinamicheskogo poiska ob'ektov s neskolkimi ischuschimi”, Vestn. Mosk. un-ta. Ser. 15, Vychislitelnaya matematika i kibernetika, 2001, no. 3, 14–18 | MR | Zbl

[4] Berezin S. B., Reshenie zadachi dinamicheskogo poiska v monotonnom mnogougolnike, Dep. v VINITI, No 1330-B2002, 2002

[5] Debelov V. A., Matsokin A. M., “Algoritm realizatsii teoretiko-mnozhestvennykh operatsii”, Trudy 8-i mezhdunarodnoi konferentsii po kompyuternoi grafike i vizualizatsii Grafikon'98 (7–11 sentyabrya 1998), VMK MGU, Moskva, 1998, 174–181

[6] Debelov V. A., Matsokin A. M., Upolnikov S. A., “Razbienie ploskosti i teoretiko-mnozhestvennye operatsii”, Sibirskii zhurnal vychislitelnoi matematiki, 1, no. 3, RAN. Sibirskoe otdelenie, Novosibirsk, 1998, 227–247 | MR

[7] Skvortsov A. A., Dinamicheskii poisk v ploskoi vypukloi oblasti, Dep. v VINITI 10 noyabrya 1995 g., No2985-V95

[8] Chkhartishvili A. G., Shikin E. V., “Dinamicheskii poisk ob'ektov. Geometricheskii vzglyad na problemu”, Fundam. i prikl. mat., 1:4 (1995), 827–862 | MR | Zbl

[9] Saeed S. E. O., de Pennington A., Dodsworth J. R., “Offsetting in geometric modelling”, Comput. Aided Design., 20:2 (1988), 67–74 | DOI | Zbl

[10] Sugihara K., Iri M., “A solid modelling system free from topological inconsistency”, J. Inform. Process., 12:4 (1989), 380–393 | Zbl