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Determining tension parameters in rational gamma-spline interpolation

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Authors
Xu, Chendong; Kim, Tae-Wan
Issue Date
2011-02-15
Publisher
ELSEVIER SCIENCE INC
Citation
APPLIED MATHEMATICS AND COMPUTATION; Vol.217 12; 5243-5258
Keywords
gamma-SplineGeometric continuityInterpolationEccentricity
Abstract
Inspired by the classic gamma-spline, we propose a method for constructing a G(2) rational gamma-spline curve that interpolates a given set of distinct ordered data-points (planar or spatial). The only input of our method is just these data-points. We also present a procedure to solve the key problem of determining the tension parameters gamma(i) which are computed in terms of exponential functions that determine the eccentricities of the common conic osculants at the junction points while keeping in geometrical agreement with data-points. This allows the resulting curve to be modified in the close vicinity of each data-point. (C) 2010 Elsevier Inc. All rights reserved.
ISSN
0096-3003
Language
English
URI
https://hdl.handle.net/10371/75083
DOI
https://doi.org/10.1016/j.amc.2010.11.013
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College of Engineering/Engineering Practice School (공과대학/대학원)Dept. of Architecture and Architectural Engineering (건축학과)Journal Papers (저널논문_건축학과)
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