A class of cubic trigonometric automatic interpolation curves and surfaces with parameters

Juncheng Li; Mehmet Pakdemirli

doi:10.3390/mca21020018

A class of cubic trigonometric automatic interpolation curves and surfaces with parameters

Juncheng Li^*
, Mehmet Pakdemirli

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

This paper presents the cubic trigonometric interpolation curves with two parameters generated over the space {1, sint, cost, sin²t, sin³t, cos³t}. The new curves can not only automatically interpolate the given data points without solving equation systems, but are also C² and adjust their shape by altering values of the two parameters. The optimal interpolation curves can be determined by an energy optimization model. The corresponding interpolation surfaces have characteristics similar to the new curves.

Original language	English
Article number	18
Journal	Mathematical and Computational Applications
Volume	21
Issue number	2
DOIs	https://doi.org/10.3390/mca21020018
State	Published - 20 May 2016

Bibliographical note

Publisher Copyright:
© 2016 by the author; licensee MDPI, Basel, Switzerland.

Keywords

C continuity
Interpolation curves and surfaces
Shape adjustment
Trigonometric polynomial

ASJC Scopus subject areas

General Engineering
Computational Mathematics
Applied Mathematics

Access to Document

10.3390/mca21020018

Cite this

@article{9f18631080f145fe8ace689e2e768b19,

title = "A class of cubic trigonometric automatic interpolation curves and surfaces with parameters",

abstract = "This paper presents the cubic trigonometric interpolation curves with two parameters generated over the space \{1, sint, cost, sin2t, sin3t, cos3t\}. The new curves can not only automatically interpolate the given data points without solving equation systems, but are also C2 and adjust their shape by altering values of the two parameters. The optimal interpolation curves can be determined by an energy optimization model. The corresponding interpolation surfaces have characteristics similar to the new curves.",

keywords = "C continuity, Interpolation curves and surfaces, Shape adjustment, Trigonometric polynomial",

author = "Juncheng Li and Mehmet Pakdemirli",

note = "Publisher Copyright: {\textcopyright} 2016 by the author; licensee MDPI, Basel, Switzerland.",

year = "2016",

month = may,

day = "20",

doi = "10.3390/mca21020018",

language = "English",

volume = "21",

journal = "Mathematical and Computational Applications",

issn = "1300-686X",

publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",

number = "2",

}

TY - JOUR

T1 - A class of cubic trigonometric automatic interpolation curves and surfaces with parameters

AU - Li, Juncheng

AU - Pakdemirli, Mehmet

PY - 2016/5/20

Y1 - 2016/5/20

N2 - This paper presents the cubic trigonometric interpolation curves with two parameters generated over the space {1, sint, cost, sin2t, sin3t, cos3t}. The new curves can not only automatically interpolate the given data points without solving equation systems, but are also C2 and adjust their shape by altering values of the two parameters. The optimal interpolation curves can be determined by an energy optimization model. The corresponding interpolation surfaces have characteristics similar to the new curves.

AB - This paper presents the cubic trigonometric interpolation curves with two parameters generated over the space {1, sint, cost, sin2t, sin3t, cos3t}. The new curves can not only automatically interpolate the given data points without solving equation systems, but are also C2 and adjust their shape by altering values of the two parameters. The optimal interpolation curves can be determined by an energy optimization model. The corresponding interpolation surfaces have characteristics similar to the new curves.

KW - C continuity

KW - Interpolation curves and surfaces

KW - Shape adjustment

KW - Trigonometric polynomial

UR - https://www.scopus.com/pages/publications/84994531660

U2 - 10.3390/mca21020018

DO - 10.3390/mca21020018

M3 - Article

AN - SCOPUS:84994531660

SN - 1300-686X

VL - 21

JO - Mathematical and Computational Applications

JF - Mathematical and Computational Applications

IS - 2

M1 - 18

ER -

A class of cubic trigonometric automatic interpolation curves and surfaces with parameters

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this