The Discrete Shearlet Transform: A New Directional Transform and Compactly Supported Shearlet Frames
The Discrete Shearlet Transform: A New Directional Transform and Compactly Supported Shearlet Frames
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DOI：
10.1109/tip.2010.2041410
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发表时间：
2010-05-01
影响因子：
10.6
通讯作者：
Lim, Wang-Q
中科院分区：
文献类型：
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作者：
Lim, Wang-Q
现在人们普遍认识到，在包括图像处理在内的许多应用中，分析基础图像的内在几何特征至关重要。为了实现这一点，人们已经提出了几种方向图像表示方案。在本文中，我们开发了离散剪切波变换（DST），它提供了有效的多尺度方向表示，并表明该变换的实现是基于多分辨率分析（MRA）在离散框架内构建的。我们评估了离散剪切波变换在图像去噪和逼近应用中的性能。在图像逼近方面，我们使用离散剪切波变换的逼近方案优于离散小波变换（DWT），而我们方案的计算成本与离散小波变换相当。此外，在图像去噪方面，离散剪切波变换与文献中其他现有的变换相比也具有优势。
It is now widely acknowledged that analyzing the intrinsic geometrical features of the underlying image is essential in many applications including image processing. In order to achieve this, several directional image representation schemes have been proposed. In this paper, we develop the discrete shearlet transform (DST) which provides efficient multiscale directional representation and show that the implementation of the transform is built in the discrete framework based on a multiresolution analysis (MRA). We assess the performance of the DST in image denoising and approximation applications. In image approximations, our approximation scheme using the DST outperforms the discrete wavelet transform (DWT) while the computational cost of our scheme is comparable to the DWT. Also, in image denoising, the DST compares favorably with other existing transforms in the literature.