高维变换域中的系数集中分析及研究  

Coefficients concentration analysis and research in high-dimensional transformation domain

作　　者：桑爱军[1] 崔海廷[1] 王墨林[1] 陈贺新[1] 

机构地区：[1]吉林大学通信工程学院,长春130022

出　　处：《吉林大学学报（工学版）》2013年第S1期96-100,共5页Journal of Jilin University:Engineering and Technology Edition

基　　金：国家自然科学基金项目(61171078);吉林大学科学前沿与交叉学科创新项目(201103256)

摘　　要：针对多视角视频中包含巨大的数据信息,考虑到对存储和传输造成的困难,第一次推导了多视角视频的傅里叶变换(FT)以及多维矢量矩阵离散余弦变换(MVM-DCT)公式。结合多维矢量矩阵可以将多视角视频表示在一个多维的数学模型中以及DCT正交性的优点,推导出的MVM-DCT能够很好地去除空间、帧间和视角间的相关性。导出公式表明,高维变换域中的系数能量主要集中在一个沿时间维度和视角维度均衰减的折叠平面体上,通过仿真实验证明了理论推导的正确性。该公式推导的意义在于揭示了运动矢量,角度变量与高维变换域中系数集中分布的关系。并研究有关运动分析的最小化补充准则。这些将为多视角视频编码系统的进一步压缩提供了理论上的指导。For the enormous data information contained in multi-view video,taking into account the difficulties of storage and transmission,the transform domain features of Fourier transform(FT) and multi-dimensional vector matrix discrete cosine transform(MVM-DCT) of multi-view video are deduced for the first time.Combined with the advantages that multi-dimensional vector matrix could put multi-view video into a multi-dimensional mathematical model,as well as orthogonality of DCT,MVM-DCT deduced could remove correlation among space,inter-frame and inter-view.The deduced formula shows that coefficient energy in high-dimensional transformation domain is mainly concentrated in a folding cuboid which attenuates along both the time dimension and view dimension.Then the experimental simulation verified their correctness.The significance of formula derivation is that they reveal the relationship between motion vector,angle variable and coefficients concentration in high-dimensional transformation domain.Finally,introduce minimize additional criteria about motion analysis briefly.All these will provide a theoretical guidance for the further compression of multi-view video coding system.

关 键 词：信息处理技术 多维矢量矩阵 正交变换 多视角视频编码 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]