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参数化的Deslauriers-Dubuc插值小波——构造及图像编码性能分析

刘在德 兰旭光 张明新

刘在德, 兰旭光, 张明新. 参数化的Deslauriers-Dubuc插值小波——构造及图像编码性能分析. 自动化学报, 2014, 40(10): 2334-2345. doi: 10.3724/SP.J.1004.2014.02334
引用本文: 刘在德, 兰旭光, 张明新. 参数化的Deslauriers-Dubuc插值小波——构造及图像编码性能分析. 自动化学报, 2014, 40(10): 2334-2345. doi: 10.3724/SP.J.1004.2014.02334
LIU Zai-De, LAN Xu-Guang, ZHANG Ming-Xin. Parametric Deslauriers-Dubuc Interpolating Wavelets:Construction and Performance Analysis for Image Coding. ACTA AUTOMATICA SINICA, 2014, 40(10): 2334-2345. doi: 10.3724/SP.J.1004.2014.02334
Citation: LIU Zai-De, LAN Xu-Guang, ZHANG Ming-Xin. Parametric Deslauriers-Dubuc Interpolating Wavelets:Construction and Performance Analysis for Image Coding. ACTA AUTOMATICA SINICA, 2014, 40(10): 2334-2345. doi: 10.3724/SP.J.1004.2014.02334

参数化的Deslauriers-Dubuc插值小波——构造及图像编码性能分析

doi: 10.3724/SP.J.1004.2014.02334
基金项目: 

国家重点基础研究发展计划(973计划) (2012CB316400), 国家自然科学基金(61175010, 61173130)资助

详细信息
    作者简介:

    兰旭光 西安交通大学电子与信息工程学院副教授. 2005 年在西安交通大学控制科学与工程专业获得博士学位. 主要研究方向包括计算机视觉, 媒体内容分析, 图像与视频编码, VLSI 设计.E-mail: xglan@mail.xjtu.edu.cn

Parametric Deslauriers-Dubuc Interpolating Wavelets:Construction and Performance Analysis for Image Coding

Funds: 

Supported by National Basic Research Program of China (973 Program) (2012CB316400), National Natural Science Foundation of China (61175010, 61173130)

  • 摘要: 研究了采用提升构造具有任意偶数阶消失矩, 满足对称性, 且仅用一个自由参数表达的 Deslauriers-Dubuc (D-D)双正交插值小波. 首先,采用多相矩阵理论推导出了此类小波存在的条件; 然后,给出了对应小波滤波器和插值小波变换的构造算法. 采用算法具体构造了分别具有消失矩对(4, 2)、(4, 4)、(6, 2)以及(6, 4) 等4类一参数表达的D-D插值小波; 最后, 以自由参数为自变量, 根据编码增益准则, 优化设计了4种用于图像编码的插值小波, 其滤波器系数全为二进制分数, 可实现非乘法运算的离散小波变换(Discrete wavelet transform, DWT). 系统分析表明, 两种小波的压缩性能超过CDF-9/7小波, 对于纹理图像, PSNR增益达到0.44.dB, 并且计算复杂度可降低17%以上. 实验同时表明, 新小波的重构图像具有更好的主观可视质量.
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出版历程
  • 收稿日期:  2013-12-17
  • 修回日期:  2014-05-30
  • 刊出日期:  2014-10-20

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