The Shiftable Complex Directional Pyramid—Part II: Implementation and Applications
The Shiftable Complex Directional Pyramid—Part II: Implementation and Applications
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DOI：
10.1109/tsp.2008.927461
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发表时间：
2008-10
影响因子：
5.4
通讯作者：
Truong T. Nguyen;S. Oraintara
中科院分区：
文献类型：
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作者：
Truong T. Nguyen;S. Oraintara
在第I部分[“The shiftable complex directional pyramid-Part I：Theoretical Aspects，”IEEE TRANSACTIONS on Signal Processing，vol.56，no.10，October 2008]中，我们提出了一种称为可移位复方向金字塔的新颖图像分解。利用金字塔双树方向滤波器组（PDTDFB）实现了图像的平移、多分辨率、多方向分解。在这第二部分中，我们考虑PDTDFB的设计和实现问题及其在图像处理中的应用。PDTDFB由一个多分辨率滤波器组（FB）和一对方向滤波器组（DFB）组成，每个FB的设计被单独考虑。在对称扩展的情况下，为了减少边界伪影，修改了DFB的二叉树结构以最小化相位延迟因子。本文提出的滤波器是在频域中设计的，并且用有限脉冲响应（FIR）滤波器来近似。数值实验表明，从双分支的滤波器近似的希尔伯特变换的原始的，和由此产生的PDTDFB产生可接受的移位。然后在图像处理应用中测试可移位金字塔分解，包括图像去噪、纹理检索和地震图像偏移。
In Part I ["The shiftable complex directional pyramid-Part I: Theoretical Aspects," IEEE TRANSACTIONS on Signal Processing, vol. 56, no. 10, October 2008], we proposed a novel image decomposition called the shiftable complex directional pyramid. The shiftable, multiresolution and multidirectional image decomposition is constructed by the pyramidal dual-tree directional filter bank (PDTDFB). In this Part II, we consider the design and implementation issues of the PDTDFB and its applications in image processing. The PDTDFB is composed of a multiresolution filter bank (FB) and a pair of directional filter banks (DFB); the design of each FB is considered separately. The binary tree structure of the DFB is modified to minimize the phase delay factor in order to reduce the border artifact in case symmetric extension is used. The filters presented in this paper are designed in frequency domain, and approximated by finite-impulse-response (FIR) filters. Numerical experiments show that the filters from the dual branches approximate the Hilbert transform of those from the primal ones, and the resulting PDTDFB yields acceptable shiftability. The shiftable pyramid decomposition is then tested in image processing applications, including image denoising, texture retrieval and seismic image migration.