Boundary Operation of 2-D Nonseparable Linear-Phase Paraunitary Filter Banks
Boundary Operation of 2-D Nonseparable Linear-Phase Paraunitary Filter Banks
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DOI：
10.1109/tip.2011.2181527
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发表时间：
2012-04
影响因子：
10.6
通讯作者：
S. Muramatsu;Tomoya Kobayashi;Minoru Hiki;H. Kikuchi
中科院分区：
文献类型：
--
作者：
S. Muramatsu;Tomoya Kobayashi;Minoru Hiki;H. Kikuchi
提出了一种二维不可分离线性相位仿酉滤波器组（NS-LPPUFB）的边界运算方法。该技术是基于由2-D可分离块离散余弦变换和不可分离的支持扩展过程的晶格结构。允许基是各向异性的，具有固定的临界子采样、重叠、正交、对称、实值和紧支撑属性。首先，开发了块式实现，以便可以局部控制基础图像。的基础图像的本地控制，以保持正交性。这一性质导致基终止（BT）技术作为边界操作。该技术克服了NS-LPPUFB常用的对称扩展方法无效的缺点。通过对角纹理编码的实验结果，验证了BT的重要性。
This paper proposes a boundary operation technique of 2-D nonseparable linear-phase paraunitary filter banks (NS-LPPUFBs) for size limitation. The proposed technique is based on a lattice structure consisting of the 2-D separable block discrete cosine transform and nonseparable support-extension processes. The bases are allowed to be anisotropic with the fixed critically subsampling, overlapping, orthogonal, symmetric, real-valued, and compact-support properties. First, the blockwise implementation is developed so that the basis images can be locally controlled. The local control of basis images is shown to maintain orthogonality. This property leads a basis termination (BT) technique as a boundary operation. The technique overcomes the drawback of NS-LPPUFBs that the popular symmetric extension method is invalid. Through some experimental results of diagonal texture coding, the significance of the BT is verified.