| 基于二次有理Bézier曲线逼近的图像压缩 |
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| 引用本文： | 李军成,赵东标,陆永华. 基于二次有理Bézier曲线逼近的图像压缩[J]. 华中科技大学学报(自然科学版), 2012, 40(1): 21-25 |
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| 作者姓名： | 李军成 赵东标 陆永华 |
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| 作者单位： | 1. 南京航空航天大学自动化学院,江苏南京210016／湖南人文科技学院数学系,湖南娄底417000
2. 南京航空航天大学机电学院,江苏南京,210016 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 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.
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| 关 键 词： | 图像压缩 希尔伯特扫描 二次有理Bézier曲线 曲线逼近 分段逼近 |
Image compression based on quadratic rational B3zier curve approximation |
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| Li Juncheng,a,Zhao Dongbiao,b Lu Yonghua. Image compression based on quadratic rational B3zier curve approximation[J]. JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE, 2012, 40(1): 21-25 |
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| Authors: | Li Juncheng a Zhao Dongbiao b Lu Yonghua |
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| Affiliation: | 1b(1 a College of Automation Engineering,b College of Mechanical-Electrical Engineering, Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China;2 Department of Mathematics,Hunan Institute of Humanities,Science and Technology,Loudi 417000,Hunan China) |
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| Abstract: | 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 Bérnstein polynomial approximation is used to make image compression.Therefore,an image compression method using quadratic rational Bézier curve approximation was presented.The two-dimensional gray-level image was converted to one-dimensional gray-level sequence by using Hilbert scan.Piecewise quadratic rational Bézier 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 Bérnstein polynomial approximation methods. |
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| Keywords: | image compression Hilbert scan quadratic rational Bezier curve curve approximation piecewise approximation |
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