Various calculations of derivatives, dealing with specific spaces, have been studied to define cubic splines. Some Modified 3-Point Methods have been proposed which would reduce the amount of calculations required. These methods enable us to preceive the result from a computer by lines. Some theorems that are useful for the discussion of local calculations are given and examples are executed to compare our methods with the original cubic spline functions. The results given in this paper have demonstrated a relation to the interactive computer graphics as well as the interpolation of data points.
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Koichi HARADA, Eihachiro NAKAMAE, "Local Curve Fitting Procedures Using Cubic Splines" in IEICE TRANSACTIONS on transactions,
vol. E64-E, no. 5, pp. 309-313, May 1981, doi: .
Abstract: Various calculations of derivatives, dealing with specific spaces, have been studied to define cubic splines. Some Modified 3-Point Methods have been proposed which would reduce the amount of calculations required. These methods enable us to preceive the result from a computer by lines. Some theorems that are useful for the discussion of local calculations are given and examples are executed to compare our methods with the original cubic spline functions. The results given in this paper have demonstrated a relation to the interactive computer graphics as well as the interpolation of data points.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e64-e_5_309/_p
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@ARTICLE{e64-e_5_309,
author={Koichi HARADA, Eihachiro NAKAMAE, },
journal={IEICE TRANSACTIONS on transactions},
title={Local Curve Fitting Procedures Using Cubic Splines},
year={1981},
volume={E64-E},
number={5},
pages={309-313},
abstract={Various calculations of derivatives, dealing with specific spaces, have been studied to define cubic splines. Some Modified 3-Point Methods have been proposed which would reduce the amount of calculations required. These methods enable us to preceive the result from a computer by lines. Some theorems that are useful for the discussion of local calculations are given and examples are executed to compare our methods with the original cubic spline functions. The results given in this paper have demonstrated a relation to the interactive computer graphics as well as the interpolation of data points.},
keywords={},
doi={},
ISSN={},
month={May},}
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TY - JOUR
TI - Local Curve Fitting Procedures Using Cubic Splines
T2 - IEICE TRANSACTIONS on transactions
SP - 309
EP - 313
AU - Koichi HARADA
AU - Eihachiro NAKAMAE
PY - 1981
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E64-E
IS - 5
JA - IEICE TRANSACTIONS on transactions
Y1 - May 1981
AB - Various calculations of derivatives, dealing with specific spaces, have been studied to define cubic splines. Some Modified 3-Point Methods have been proposed which would reduce the amount of calculations required. These methods enable us to preceive the result from a computer by lines. Some theorems that are useful for the discussion of local calculations are given and examples are executed to compare our methods with the original cubic spline functions. The results given in this paper have demonstrated a relation to the interactive computer graphics as well as the interpolation of data points.
ER -