摘要
本文深入研究了三维矩阵 ,首次提出了一种新的基于三维矩阵的宽离散余弦变换 (3 DWDCT) ,并且定义了它的运算准则 ,证明了它的正反变换和相关性质 ,将之应用到彩色图像的压缩编码中 .我们知道 ,彩色图像的三帧是同一物理模型的映射 ,具有相同的纹理 ,边缘和灰度变化等 .本文充分考虑了彩色图像三帧间的结构相似性 ,把彩色图像的各个分量表示在一个统一的数学模型里 ,使彩色图像的R ,G ,B三帧第一次作为一个整体进行压缩编码 ,同时去除帧间的与帧内的冗余 ,而不是象其他方法那样把各个分量独立处理 .实验结果表明 ,这种方法的重建图像无论是压缩比 ,信噪比 ,还是视觉效果都有明显提高 .本文运用并发展了目前较为成熟的离散余弦变换技术 。
In this paper,a new mathematics model,3D matrix,is researched.Its application in color digital image compression coding,3 D wide discrete cosine transform (WDCT) compression coding,has been proposed.We also gave its calculate method,transform,inverse transform,performance and proof them.As we known,it is identity physics model unify reflect into that of colour image′s three frame,possess same texture,same fringe and same gray change,the information of the each frame almost could reflect the source image except colour,the vision similitude are very strong.Human vision characteristic express that the relation of the each component is unlinely.It is clear that if we encode Y Cr Cb data separately,among each component potential relativity can be incapable of plenitude utilize colour image So we regard R,G,and B as a whole and make it into the single mathematics model,3D matrix,and transform it with3D WDCT.Different from other transform coding method,in which each component was compressed and encoded separately,it combined the intra and inter component compressions encoding together.Simulation results demonstrate good reconstruction image quality and high compression ratio of method.It use adult discrete cosine transform technology,and have good compatible for the moment universal JPEG and MPEG standard.
出处
《电子学报》
EI
CAS
CSCD
北大核心
2002年第4期594-597,共4页
Acta Electronica Sinica
基金
国家自然科学基金 (No .60 1 72 0 4 6)
