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首页> 外文期刊>Journal of visual communication & image representation >Ripplet: A new transform for image processing
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Ripplet: A new transform for image processing

机译：Ripplet：图像处理的新转变

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摘要

Efficient representation of images usually leads to improvements in storage efficiency, computational complexity and performance of image processing algorithms. Efficient representation of images can be achieved by transforms. However, conventional transforms such as Fourier transform and wavelet transform suffer from discontinuities such as edges in images. To address this problem, we propose a new transform called ripplet transform. The ripplet transform is a higher dimensional generalization of the curvelet transform, designed to represent images or two-dimensional signals at different scales and different directions. Specifically, the ripplet transform allows arbitrary support c and degree d while the curvelet transform is just a special case of the ripplet transform (Type I) with c = 1 and d = 2. Our experimental results demonstrate that the ripplet transform can provide efficient representation of edges in images. The ripplet transform holds great potential for image processing such as image restoration, image denoising and image compression.
机译：图像的有效表示通常可以提高存储效率，计算复杂度和图像处理算法的性能。图像的有效表示可以通过变换来实现。然而，诸如傅立叶变换和小波变换的常规变换遭受诸如图像中的边缘之类的不连续性的困扰。为了解决这个问题，我们提出了一种新的变换，称为波纹变换。涟漪变换是Curvelet变换的高维概括，旨在表示不同比例和不同方向的图像或二维信号。具体来说，波纹变换允许任意支持c和度d，而Curvelet变换只是c = 1和d = 2的波纹变换（I型）的特例。我们的实验结果表明，波纹变换可以提供有效的表示图像边缘。波纹变换在图像处理（例如图像恢复，图像去噪和图像压缩）中具有巨大的潜力。

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