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Research on a Kind of Spline Interpolation

Author: ZhangChangHong
Tutor: FengGuoChen
School: Jilin University
Course: Computer Algebra
Keywords: Interpolation Split Spline
CLC: TP301.6
Type: Master's thesis
Year: 2005
Downloads: 198
Quote: 0
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Abstract


This paper first introduces some of the basic results of the multivariate interpolation and multivariate spline , this is what we use to . Given three points and a given function values ??and the first order derivative , lowest -order interpolation basis three , that is, to determine the minimum number of interpolation polynomial ; then we consider appropriate split constructed spline function do interpolation, and three on a plane different from each other at the point to conduct a detailed study in the given function values ??and the corresponding first-order derivative situation , get the lowest secondary order smoothing spline interpolation polynomial . The specific measures it is appropriate to increase the spline node structure C ~ 1 , so as to reach the minimum number of times ( twice) , we give conditions for the existence and construction algorithm and give a specific example , the main work of this article . The article is divided into two parts, the first chapter introduces the multivariate polynomial interpolation and spline basic knowledge , it will be used in our study . The second chapter is the research spline interpolation .

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CLC: > Industrial Technology > Automation technology,computer technology > Computing technology,computer technology > General issues > Theories, methods > Algorithm Theory
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