A New Method for Smooth Interpolation without Twist Constraints

Caiming ZHANG; Takeshi AGUI; Hiroshi NAGAHASHI; Tomoharu NAGAO

A New Method for Smooth Interpolation without Twist Constraints

Caiming ZHANG, Takeshi AGUI, Hiroshi NAGAHASHI, Tomoharu NAGAO

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A new method for interpolating boundary function values and first derivatives of a triangle is presented. This method has a relatively simple construction and involves no compatibility constraints. The polynomial precision set of the interpolation function constructed includes all the cubic polynomial and less. The testing results show that the surface produced by the proposed method is better than the ones by weighted combination schemes in both of the fairness and preciseness.

Publication: IEICE TRANSACTIONS on Information Vol.E76-D No.2 pp.243-250

Publication Date: 1993/02/25

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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, Tomoharu NAGAO, "A New Method for Smooth Interpolation without Twist Constraints" in IEICE TRANSACTIONS on Information, vol. E76-D, no. 2, pp. 243-250, February 1993, doi: .
Abstract: A new method for interpolating boundary function values and first derivatives of a triangle is presented. This method has a relatively simple construction and involves no compatibility constraints. The polynomial precision set of the interpolation function constructed includes all the cubic polynomial and less. The testing results show that the surface produced by the proposed method is better than the ones by weighted combination schemes in both of the fairness and preciseness.
URL: https://globals.ieice.org/en_transactions/information/10.1587/e76-d_2_243/_p

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@ARTICLE{e76-d_2_243,
author={Caiming ZHANG, Takeshi AGUI, Hiroshi NAGAHASHI, Tomoharu NAGAO, },
journal={IEICE TRANSACTIONS on Information},
title={A New Method for Smooth Interpolation without Twist Constraints},
year={1993},
volume={E76-D},
number={2},
pages={243-250},
abstract={A new method for interpolating boundary function values and first derivatives of a triangle is presented. This method has a relatively simple construction and involves no compatibility constraints. The polynomial precision set of the interpolation function constructed includes all the cubic polynomial and less. The testing results show that the surface produced by the proposed method is better than the ones by weighted combination schemes in both of the fairness and preciseness.},
keywords={},
doi={},
ISSN={},
month={February},}

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TY - JOUR
TI - A New Method for Smooth Interpolation without Twist Constraints
T2 - IEICE TRANSACTIONS on Information
SP - 243
EP - 250
AU - Caiming ZHANG
AU - Takeshi AGUI
AU - Hiroshi NAGAHASHI
AU - Tomoharu NAGAO
PY - 1993
DO -
JO - IEICE TRANSACTIONS on Information
SN -
VL - E76-D
IS - 2
JA - IEICE TRANSACTIONS on Information
Y1 - February 1993
AB - A new method for interpolating boundary function values and first derivatives of a triangle is presented. This method has a relatively simple construction and involves no compatibility constraints. The polynomial precision set of the interpolation function constructed includes all the cubic polynomial and less. The testing results show that the surface produced by the proposed method is better than the ones by weighted combination schemes in both of the fairness and preciseness.
ER -