Geodesic
Spline interpolation of huge multivariate data
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 6 (2003) no. 3, pp. 249-261

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The paper deals with the “true” multi-dimensional interpolation problem at scattered meshes with a huge number of interpolating points. For its solution we suggest here a new numerical technology consisting in partitioning of the problem on a number of subproblems and in a successive glueing of solutions to the subproblems. The basis of the partitioning method is the algorithm of optimal hyperplane, dividing a mesh in two intersected ones. 
@article{SJVM_2003_6_3_a2,
     author = {A. Yu. Bezhaev},
     title = {Spline interpolation of huge multivariate data},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {249--261},
     publisher = {mathdoc},
     volume = {6},
     number = {3},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2003_6_3_a2/}
}
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A. Yu. Bezhaev. Spline interpolation of huge multivariate data. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 6 (2003) no. 3, pp. 249-261. http://geodesic.mathdoc.fr/item/SJVM_2003_6_3_a2/