| 基于二次三角Bézier曲线的图像压缩 |
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| 引用本文： | 伏东奇,吴晓勤,彭叶辉.基于二次三角Bézier曲线的图像压缩[J].漳州师院学报,2014(4):35-40. |
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| 作者姓名： | 伏东奇 吴晓勤 彭叶辉 |
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| 作者单位： | 湖南科技大学数学与计算科学学院,湖南湘潭411201 |
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| 基金项目： | 湖南省自然科学基金资助项目（12JJA002）;湖南科技大学研究生创新基金项目（S130031） |
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| 摘 要： | 针对目前图像压缩大量使用变化编码，提出了一种新的图像压缩方法．先使用Hilbert曲线扫描对原图像进行扫描，再用分段的二次三角Bézier曲线对其进行最佳逼近，然后进行编码将原灰度矩阵信息保存在一个列数为6的矩阵里，该矩阵占用的存储空间大大减少，而且具有很好的保密性，可以运用在密码学上，再通过解码可得到复原后的图像．分析了决定最大压缩比的一些因素，并和其他曲线压缩作了对比，结论表明使用该曲线逼近具有较好的压缩效果．
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| 关 键 词： | 二次三角Bézier 图像压缩 Hilbert曲线扫描序列 存储矩阵 |
Image Compression Based on Quadratic Triangular Bézier Curve |
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| FU Dong-qi,WU Xiao-qin,PENG Ye-hui.Image Compression Based on Quadratic Triangular Bézier Curve[J].Journal of ZhangZhou Teachers College(Philosophy & Social Sciences),2014(4):35-40. |
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| Authors: | FU Dong-qi WU Xiao-qin PENG Ye-hui |
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| Institution: | (School of Mathematics and Computation Science, Hunan University of Science and Technology, Xiangtan, Hunan 411201, China) |
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| Abstract: | Proposed a new method for image compression. First use the Hilbert curve scan to scan the original＇image, and then do a best approximation by quadratic triangular Bézier curve. Then, the original gray matrix information is saved in a matrix whose columns is 6.The storage space occupied by the matrix is greatly reduced, and with good privacy, can be used in the cryptography. Finally, the restored image can be obtained by decoding. Analyzed the factors determining the maximum compression ratio, and compare with other curves .The results showed that the curve approximation has a good compression. |
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| Keywords: | quadratic trigonometric polynomial Bézier image compression Hilbert curve scan storage matrix |
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