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

A trigonometric Bezier curve analogous to the cubic polynomial Bezier curve, with a shape parameter, is presented in this work. The proposed curve inherits properties similar to those of cubic polynomial Bezier 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 Bezier curve. Then, image compression using the trigonometric Bezier curve approximation method is investigated. Experimental results show that the trigonometric Bezier curve approximation is an effective method for dealing with image compression problems.