Geodesic
The non-Sibsonian interpolation: A new method of interpolation of the value of a function on an arbitrary set of points
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 37 (1997) no. 1, pp. 11-17 
V. V. Belikov; V. D. Ivanov; V. K. Kontorovich; S. A. Korytnik; A. Yu. Semenov. The non-Sibsonian interpolation: A new method of interpolation of the value of a function on an arbitrary set of points. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 37 (1997) no. 1, pp. 11-17. http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_1_a2/
@article{ZVMMF_1997_37_1_a2,
     author = {V. V. Belikov and V. D. Ivanov and V. K. Kontorovich and S. A. Korytnik and A. Yu. Semenov},
     title = {The {non-Sibsonian} interpolation: {A} new method of interpolation of the value of a function on an arbitrary set of points},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {11--17},
     year = {1997},
     volume = {37},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_1_a2/}
}
TY  - JOUR
AU  - V. V. Belikov
AU  - V. D. Ivanov
AU  - V. K. Kontorovich
AU  - S. A. Korytnik
AU  - A. Yu. Semenov
TI  - The non-Sibsonian interpolation: A new method of interpolation of the value of a function on an arbitrary set of points
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1997
SP  - 11
EP  - 17
VL  - 37
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_1_a2/
LA  - ru
ID  - ZVMMF_1997_37_1_a2
ER  - 
%0 Journal Article
%A V. V. Belikov
%A V. D. Ivanov
%A V. K. Kontorovich
%A S. A. Korytnik
%A A. Yu. Semenov
%T The non-Sibsonian interpolation: A new method of interpolation of the value of a function on an arbitrary set of points
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1997
%P 11-17
%V 37
%N 1
%U http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_1_a2/
%G ru
%F ZVMMF_1997_37_1_a2

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

[1] Sibson R., “A vector identity for the Dirichlet tesselation”, Math. Proc. Cambridge Philos. Soc., 87:1 (1980), 151–155 | DOI | MR | Zbl

[2] Sibson R., “A brief description of the natural neighbour interpolant”, Interpreting Multivariate Data, Wiley, Chichester, UK, 1981, 21–36

[3] Delone B. N., “Geometriya polozhitelnykh kvadratichnykh form”, Uspekhi matem. nauk, 1937, no. 3, 16–62 ; “Ч. 2”, 1938, No 4, 102–164

[4] Delone B. N., Materialy k bibliografii uchenykh SSSR, Nauka, M., 1967 | Zbl

[5] M. J. Fritts, W. P. Crowley, H. Trease (eds.), The free-Lagrange method, Lect. Notes in Phys., 238, Springer, Berlin, 1985 | MR | Zbl

[6] J. U. Brackbill, J. J. Monaghan (eds.), Partial methods in fluid dynamics and plasma physics, Comput. Phys. Communs., 48, no. 1, 1988

[7] Rippa S., “Minimal roughness property of the Delaunay triangulation”, Comput. Aided Geometric Design, 7:6 (1990), 489–497 | DOI | MR | Zbl

[8] Sapidis N., Perucchio R., “Delaunay triangulation of arbitrary shaped planar domains”, Comput. Aided Geometric Design, 8:6 (1991), 421–437 | DOI | MR | Zbl

[9] Preparata F., Shaimos M., Vychislitelnaya geometriya: Vvedenie, Mir, M., 1989 | MR | Zbl

[10] Mikhailova N. V., Tishkin V. F., Tyurina N. N. i dr., Chislennoe modelirovanie dvumernykh gazodinamicheskikh techenii na lagranzhevoi setke peremennoi struktury, Preprint No 156, IPMatem. AN SSSR, M., 1984, 28 pp.

[11] Voronoi G. F., “Issledovaniya o primitivnykh paralleloedrakh”, Sobr. soch., v. 2, Izd-vo AN USSR, Kiev, 1952, 239–368

[12] Matematicheskaya entsiklopediya, v. 1, Sov. entsiklopediya, M., 1977, 1151 pp.

[13] Matematicheskaya entsiklopediya, v. 4, Sov. entsiklopediya, M., 1984, 1215 pp.

[14] Green P. J., Sibson R., “Computing Dirichlet tesselations in the plane”, Comput. J., 21:2 (1977), 168–173 | MR

[15] Bowyer A., “Computing Dirichlet tessellations”, Comput. J., 24:2 (1981), 162–166 | DOI | MR

[16] Gargantini I., “An effective way to represent quadtrees”, Communs ACM, 25:12 (1982), 905–910 | DOI | Zbl

[17] Farin G., “Surfaces over Dirichlet tesselations”, Comput. Aided Geometric Design, 7:1–4 (1990), 281–292 | DOI | MR | Zbl

[18] Solovev A. V., Tishkin V. F., Favorskii A. P., Shashkov M. Yu., O geometricheskikh svoistvakh oblastei sootvetstviya v «svobodno-lagranzhevykh» metodakh, Preprint No 144, IPMatem. AN SSSR, M., 1988, 28 pp.