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中文摘要：
针对传统的Bérnstein多项式逼近方法进行图像压缩时压缩率和压缩质量不高的问题,提出一种基于希尔伯特扫描和二次有理Bézier曲线逼近进行图像压缩的方法.首先利用希尔伯特扫描曲线将二维灰度图像转化为一维灰度序列;然后采用二次有理Bézier曲线对数据进行分段逼近;最后利用各段数据的逼近参数对图像进行压缩编码.实验结果表明：该方法比传统的Bérnstein多项式逼近方法在图像的压缩率和压缩质量方面都有所提高.
英文摘要：
The polynomial functions only reflects the gradual change of data without the mutability of data. Thus, the compressed ratio and quality of compressed image need further developing when the traditional Bernstein polynomial approximation is used to make image compression. Therefore,an image compression method using quadratic rational Bezier curve approximation was presented. The twodimensional gray-level image was converted to one-dimensional gray-level sequence by using Hilbert scan. Piecewise quadratic rational Bezier curves were used to approximate the scanning data points, and the approximate parameters were stored to code the corresponding data points. Experimental results show that the proposed method has higher compressed ratio and better quality of compressed image than the traditional Bernstein polynomial approximation methods.
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