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Math. Comput. Appl. 2016, 21(2), 18; doi:10.3390/mca21020018

A Class of Cubic Trigonometric Automatic Interpolation Curves and Surfaces with Parameters

College of Mathematics and Finance, Hunan University of Humanities, Science and Technology, Loudi 417000, China
Academic Editor: Mehmet Pakdemirli
Received: 5 March 2016 / Revised: 3 May 2016 / Accepted: 16 May 2016 / Published: 20 May 2016
View Full-Text   |   Download PDF [1193 KB, uploaded 20 May 2016]   |  

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. View Full-Text
Keywords: trigonometric polynomial; interpolation curves and surfaces; C2 continuity; shape adjustment trigonometric polynomial; interpolation curves and surfaces; C2 continuity; shape adjustment
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Li, J. A Class of Cubic Trigonometric Automatic Interpolation Curves and Surfaces with Parameters. Math. Comput. Appl. 2016, 21, 18.

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