A Method for C2 Piecewise Quartic Polynomial Interpolation

Caiming ZHANG
Takeshi AGUI
Hiroshi NAGAHASHI

Publication
IEICE TRANSACTIONS on Information and Systems   Vol.E79-D    No.5    pp.584-590
Publication Date: 1996/05/25
Online ISSN: 
DOI: 
Print ISSN: 0916-8532
Type of Manuscript: PAPER
Category: Image Processing,Computer Graphics and Pattern Recognition
Keyword: 
computer-aided design,  quartic polynomial,  spline,  C2 interpolation,  

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Summary: 
A new global method for constructing a C2 piecewise quartic polynomial curve is presented. The coefficient matrix of equations which must be solved to construct the curve is tridiagonal. The joining points of adjacent curve segments are the given data points. The constructed curve reproduces exactly a polynomial of degree four or less. The results of experiments to test the efficiency of the new method are also shown.


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