全相位双正交变换及其在图像处理中的应用研究

项目名称： 全相位双正交变换及其在图像处理中的应用研究

项目编号： No.61201371

项目类型： 青年科学基金项目

立项/批准年度： 2013

项目学科： 电子学与信息系统

项目作者： 王成优

作者单位： 山东大学

项目金额： 26万元

中文摘要： 本项目创新性地提出一种高效的信号变换方法-全相位双正交变换(APBOT)，研究双正交变换理论及其在图像处理中的应用。主要包括：（1）深入分析APBOT的性质，在前期工作将其成功用于图像编码的基础上，继续探索其在图像处理领域的其它应用，如图像滤波、频谱分析等；继续研究全相位数字滤波，进一步完善APBOT理论；（2）基于有限小波变换理论和分层DCT，提出分层双正交变换(HBOT)；研究自适应区域分割技术，将变换区域推广到任意形状，提出形状自适应双正交变换(SA-BOT)；（3）通过研究APBOT、HBOT和SA-DCT，建立双正交变换理论体系，分析信号经双正交变换后数据的统计性质，建立基于双正交变换的图像编码理论，研究具有自主知识产权的数字图像和视频压缩新算法。本项目在理论上具有较大创新性，所提出的图像和视频编码方案将为我国数字图像/视频压缩标准的建立做出新贡献。

中文关键词： 图像处理；全相位双正交变换(APBT)；形状自适应全相位双正交变换(SA-APBT)；方向性全相位双正交变换(D-APBT)；GPU并行计算

英文摘要： This project proposes innovatively a high efficient transform method of signal representation-All Phase Bi-Orthogonal Transform (APBOT), and studies the biorthogonal transform theory and its applications in image processing, the main contents in the project are as follows: (1) The properties of the All Phase Bi-Orthogonal Transform (APBOT) will be analyzed in depth. Based on the early work, that the APBOT has been applied successfully in image coding, other applications in image processing, such as image filtering, frequency spectrum analysis will be explored further. Meanwhile, the all phase digital filter is studied continuously and APBOT theory is sophisticated further. (2) In the light of the finite wavelet transform theory and the hierarchical DCT, the Hierarchical Bi-Orthogonal Transform (HBOT) is proposed. According to the study of adaptive area segmentation technology, transform area are extended to arbitrary shape. Based on the adaptive area segmentation technology, the Shape Adaptive Bi-Orthogonal Transform (SA-BOT) is proposed. (3) Through the study of APBOT, HBOT and SA-DCT, the BOT theory system is established. By analyzing the statistical property of the signal data transformed by BOT, the image coding theory based on BOT is created, which researches the new algorithm in the digital image and video

英文关键词： Image Processing；All Phase Biorthogonal Transform (APBT)；Shape-Adaptive APBT (SA-APBT)；Directional APBT (D-APBT)；GPU Parallel Computing