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We develop a new dispersion minimizing compact finite difference scheme for the Helmholtz equation in 2 and 3 dimensions. The scheme is based on a newly developed ray theory for difference equations. A discrete Helmholtz operator and a…

Numerical Analysis · Mathematics 2016-04-13 Christiaan C. Stolk

Joint image filters are used to transfer structural details from a guidance picture used as a prior to a target image, in tasks such as enhancing spatial resolution and suppressing noise. Previous methods based on convolutional neural…

Computer Vision and Pattern Recognition · Computer Science 2020-10-22 Beomjun Kim , Jean Ponce , Bumsub Ham

With the development of human communications the usage of Visual Communications has also increased. The advancement of image compression methods is one of the main reasons for the enhancement. This paper first presents main modes of image…

Computer Vision and Pattern Recognition · Computer Science 2017-09-04 Yaser Sadra

We construct a directional spin wavelet framework on the sphere by generalising the scalar scale-discretised wavelet transform to signals of arbitrary spin. The resulting framework is the only wavelet framework defined natively on the…

Information Theory · Computer Science 2017-06-06 Jason D. McEwen , Boris Leistedt , Martin Büttner , Hiranya V. Peiris , Yves Wiaux

This article is about the architecture of a lossless wavelet filter bank with reprogrammable logic. It is based on second generation of wavelets with a reduced of number of operations. A new basic structure for parallel architecture and…

Hardware Architecture · Computer Science 2021-08-20 Vasil Kolev

Wavelet theory has been well studied in recent decades. Due to their appealing features such as sparse multiscale representation and fast algorithms, wavelets have enjoyed many tremendous successes in the areas of signal/image processing…

Numerical Analysis · Mathematics 2019-09-27 Bin Han , Michelle Michelle , Yau Shu Wong

Low-light images suffer from complex degradation, and existing enhancement methods often encode all degradation factors within a single latent space. This leads to highly entangled features and strong black-box characteristics, making the…

Computer Vision and Pattern Recognition · Computer Science 2025-07-17 Shuangli Du , Siming Yan , Zhenghao Shi , Zhenzhen You , Lu Sun

Vertex-frequency analysis, particularly the windowed graph Fourier transform (WGFT), is a significant challenge in graph signal processing. Tight frame theories is known for its low computational complexity in signal reconstruction, while…

Signal Processing · Electrical Eng. & Systems 2024-12-31 Linbo Shang , Zhichao Zhang

We introduce a wavelength-multiplexed massively parallel diffractive information storage platform composed of dielectric surfaces that are structurally optimized at the wavelength scale using deep learning to store and project thousands of…

In this paper, we present an image separation method for separating images into point- and curvelike parts by employing a combined dictionary consisting of wavelets and compactly supported shearlets utilizing the fact that they sparsely…

Numerical Analysis · Mathematics 2011-06-13 Gitta Kutyniok , Wang-Q Lim

One of the key challenges in the area of signal processing on graphs is to design transforms and dictionaries methods to identify and exploit structure in signals on weighted graphs. In this paper, we first generalize graph Fourier…

Computer Vision and Pattern Recognition · Computer Science 2019-02-28 Jiasong Wu , Fuzhi Wu , Qihan Yang , Youyong Kong , Xilin Liu , Yan Zhang , Lotfi Senhadji , Huazhong Shu

Wavelet transforms are widely used in various fields of science and engineering as a mathematical tool with features that reveal information ignored by the Fourier transform. Unlike the Fourier transform, which is unique, a wavelet…

Quantum Physics · Physics 2024-04-23 Mohsen Bagherimehrab , Alan Aspuru-Guzik

It is shown how various ideas that are well established for the solution of Poisson's equation using plane wave and multigrid methods can be combined with wavelet concepts. The combination of wavelet concepts and multigrid techniques turns…

Computational Physics · Physics 2007-05-23 S. Goedecker

A cascaded iterative Fourier transform (CIFT) algorithm is presented for optical security applications. Two phase-masks are designed and located in the input and the Fourier domains of a 4-f correlator respectively, in order to implement…

Optics · Physics 2009-11-10 Guohai Situ , Jingjuan Zhang

The tradeoff between receptive field size and efficiency is a crucial issue in low level vision. Plain convolutional networks (CNNs) generally enlarge the receptive field at the expense of computational cost. Recently, dilated filtering has…

Computer Vision and Pattern Recognition · Computer Science 2018-05-23 Pengju Liu , Hongzhi Zhang , Kai Zhang , Liang Lin , Wangmeng Zuo

This paper considers a convolutional neural network transformation that reduces computation complexity and thus speedups neural network processing. Usage of convolutional neural networks (CNN) is the standard approach to image recognition…

Computer Vision and Pattern Recognition · Computer Science 2020-02-19 Elena Limonova , Alexander Sheshkus , Dmitry Nikolaev

In this paper, we propose a new convolutional layer called Depthwise-STFT Separable layer that can serve as an alternative to the standard depthwise separable convolutional layer. The construction of the proposed layer is inspired by the…

Computer Vision and Pattern Recognition · Computer Science 2020-01-29 Sudhakar Kumawat , Shanmuganathan Raman

This paper develops new theory and algorithms for 1D general mode decompositions. First, we introduce the 1D synchrosqueezed wave packet transform and prove that it is able to estimate the instantaneous information of well-separated modes…

Numerical Analysis · Mathematics 2014-04-02 Haizhao Yang

Even though convolutional neural networks have become the method of choice in many fields of computer vision, they still lack interpretability and are usually designed manually in a cumbersome trial-and-error process. This paper aims at…

Computer Vision and Pattern Recognition · Computer Science 2019-12-12 Maria Ximena Bastidas Rodriguez , Adrien Gruson , Luisa F. Polania , Shin Fujieda , Flavio Prieto Ortiz , Kohei Takayama , Toshiya Hachisuka

Discrete transforms play an important role in many signal processing applications, and low-complexity alternatives for classical transforms became popular in recent years. Particularly, the discrete cosine transform (DCT) has proven to be…

Signal Processing · Electrical Eng. & Systems 2020-06-23 D. R. Canterle , T. L. T. da Silveira , F. M. Bayer , R. J. Cintra
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