Applications of Polynomial Ideals to Trivariate Interpolation

Abstract

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

CUI Li-Hong, NIU Hui. Applications of Polynomial Ideals to Trivariate Interpolation[J]. journal6, 2009, 30(2): 13-15.

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Applications of Polynomial Ideals to Trivariate Interpolation

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