Multiscale directional transforms based on cosine-sine modulated filter banks for sparse directional image representation
Multiscale directional transforms based on cosine-sine modulated filter banks for sparse directional image representation
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DOI：
10.1109/apsipa.2017.8282331
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发表时间：
2017-12
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影响因子：
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通讯作者：
Yusuke Nomura;Ryutaro Ogawa;Seisuke Kyochi;Taizo Suzuki
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文献类型：
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作者：
Yusuke Nomura;Ryutaro Ogawa;Seisuke Kyochi;Taizo Suzuki
提出了一种基于余弦-正弦调制滤波器组的多尺度方向变换方法。稀疏图像表示的方向变换是必要的图像分析和处理任务，并已被广泛研究。传统上，余弦-正弦调制滤波器组（CSMFB）已经被提出作为可分离方向变换（SepDT）之一。它们的计算成本比非SepDT低得多，并且它们可以比其他SepDT更好地工作，例如，双树复小波变换（DTCWT）在图像处理中的应用。CSMF的一个缺点是缺乏多尺度方向选择性，即，它不能像DTCWT帧那样提供多尺度方向原子，因此不能实现灵活的图像表示。在这项工作中，我们提出了一种多尺度CSMFB的设计方法，通过扩展调制重叠变换，这是CSMFB的一个子类。我们确认其有效性在非线性逼近和图像去噪作为一个实际应用。
This paper proposes multiscale directional transforms (MDTs) based on cosine-sine modulated filter banks (CSMFBs). Sparse image representation by directional transforms is necessary for image analysis and processing tasks and has been extensively studied. Conventionally, cosine-sine modulated filter banks (CSMFBs) have been proposed as one of separable directional transforms (SepDTs). Their computational cost is much lower than non-SepDTs, and they can work better than other SepDTs, e.g., dual-tree complex wavelet transforms (DTCWTs) in image processing applications. One drawback of CSMFBs is a lack of multiscale directional selectivity, i.e., it cannot provide multiple scale directional atoms as in the DTCWT frame, and thus flexible image representation cannot be achieved. In this work, we show a design method of multiscale CSMFBs by extending modulated lapped transforms, which are a subclass of CSMFBs. We confirm its effectiveness in nonlinear approximation and image denoising as a practical application.