Image Compression Based On Triangular Bézier Curve

In recent years, with the development of the Internet, information is accepted by more and more people,most of this information is the image information,It needs to occupy a large capacity in terms of information storage and transmission,but the hardware development has not kept keep up the pace of growth of information, So the data compression in particular image compression which has become the focus of the current research.This paper mainly studies the triangular Bézier Curve in the field of image compression, which is different from the mainstream now, this study is based on the compression method of approximation curve, currently,it has some studies in this field at home and abroad, but not many and not deep. Paper is divided into the following chapters:The first chapter introduces the research background and about the significance, and the main work.The second chapter describes some of the basic methods of image compression, while a variety of triangular B é zier curves were studied, given some of their properties, and the nature of the past through the approximate curve analyzes the advantages for image compression, to compress the design and simulation experiments later given a theoretical basis.The third chapter is about theoretical research of triangular B é zier curve compression, which describes curve compression of the entire process, image by using Hilbert scanning into one-dimensional data, and then use the curve approaching its best approximation algorithm, making the storing the data points of the curve becomes stored, greatly reducing the storage capacity. Finally, the entire algorithm flow.The fourth chapter is the focus of this paper, the simulation conducted for this method what to analyze the quadratic triangular Bézier curve and its band parametric form, and three triangular Bézier curve image compression, that compares with three Bézier compression curve, by analyzing the compression ratio, the signal to noise ratio and other data, this paper achieved good results, indicating the practicality of the algorithm.Finally, Summarize the full text, and put forward the further prospect to the research contents.