A Method for <I>C</I><SUP>2</SUP> Piecewise Quartic Polynomial Interpolation

Caiming ZHANG; Takeshi AGUI; Hiroshi NAGAHASHI

A Method for C² Piecewise Quartic Polynomial Interpolation

Caiming ZHANG, Takeshi AGUI, Hiroshi NAGAHASHI

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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.

Publication: IEICE TRANSACTIONS on Information Vol.E79-D No.5 pp.584-590

Publication Date: 1996/05/25

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Type of Manuscript: PAPER

Category: Image Processing,Computer Graphics and Pattern Recognition

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Caiming ZHANG, Takeshi AGUI, Hiroshi NAGAHASHI, "A Method for C2 Piecewise Quartic Polynomial Interpolation" in IEICE TRANSACTIONS on Information, vol. E79-D, no. 5, pp. 584-590, May 1996, doi: .
Abstract: 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.
URL: https://globals.ieice.org/en_transactions/information/10.1587/e79-d_5_584/_p

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@ARTICLE{e79-d_5_584,
author={Caiming ZHANG, Takeshi AGUI, Hiroshi NAGAHASHI, },
journal={IEICE TRANSACTIONS on Information},
title={A Method for C2 Piecewise Quartic Polynomial Interpolation},
year={1996},
volume={E79-D},
number={5},
pages={584-590},
abstract={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.},
keywords={},
doi={},
ISSN={},
month={May},}

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TY - JOUR
TI - A Method for C2 Piecewise Quartic Polynomial Interpolation
T2 - IEICE TRANSACTIONS on Information
SP - 584
EP - 590
AU - Caiming ZHANG
AU - Takeshi AGUI
AU - Hiroshi NAGAHASHI
PY - 1996
DO -
JO - IEICE TRANSACTIONS on Information
SN -
VL - E79-D
IS - 5
JA - IEICE TRANSACTIONS on Information
Y1 - May 1996
AB - 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.
ER -