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Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 731648, 8 pages
http://dx.doi.org/10.1155/2013/731648
Research Article

An Investigation on Image Compression Using the Trigonometric Bézier Curve with a Shape Parameter

1College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
2College of Mechanical-Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Received 7 March 2013; Revised 14 June 2013; Accepted 19 June 2013

Academic Editor: Sarp Adali

Copyright © 2013 Juncheng Li and Dongbiao Zhao. 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.

Abstract

A trigonometric Bézier curve analogous to the cubic polynomial Bézier curve, with a shape parameter, is presented in this work. The proposed curve inherits properties similar to those of cubic polynomial Bézier curve, and the shape of the curve can be adjusted by altering the value of the shape parameter while the control polygon is fixed. With the shape parameter, the proposed curve can be made closer to the given control polygon than the general cubic Bézier curve. Then, image compression using the trigonometric Bézier curve approximation method is investigated. Experimental results show that the trigonometric Bézier curve approximation is an effective method for dealing with image compression problems.