journal6 ›› 2009, Vol. 30 ›› Issue (2): 13-15.

• Mathematics • Previous Articles     Next Articles

Applications of Polynomial Ideals to Trivariate Interpolation


  1. (School of Mathematics,Liaoning Normal University,Dalian 116029,Liaoning China)
  • Online:2009-03-25 Published:2012-04-25

Abstract: By using the basic theories of ideals and algebraic sets in the algebraic geometry,the multivariate Lagrange interpolation problems in the three dimensional Euclidean Space are dealt with in this paper.A new method for constructing properly posed set of nodes along algebraic surfaces is given,i.e.Algebraic Surfaces Superpositon Process,which generalizes the results obtained on this aspect and is of great significance in surface split-joint,scattered data interpolation and fitting,etc.

Key words: ideals, algebraic surface, interpolation, properly posed set of nodes

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