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The proper orthogonal decomposition (POD) is a powerful classical tool in fluid mechanics used, for instance, for model reduction and extraction of coherent flow features. However, its applicability to high-resolution data, as produced by…

Fluid Dynamics · Physics 2020-11-11 Philipp Krah , Thomas Engels , Kai Schneider , Julius Reiss

Currently, many face forgery detection methods aggregate spatial and frequency features to enhance the generalization ability and gain promising performance under the cross-dataset scenario. However, these methods only leverage one level…

Computer Vision and Pattern Recognition · Computer Science 2022-10-11 Jie Liu , Jingjing Wang , Peng Zhang , Chunmao Wang , Di Xie , Shiliang Pu

We investigate the use of wavelet-space feature decomposition in neural super-resolution for rendering pipelines. Building on recent neural upscaling frameworks, we introduce a formulation that predicts stationary wavelet coefficients…

Graphics · Computer Science 2025-09-23 Prateek Poudel , Prashant Aryal , Kirtan Kunwar , Navin Nepal , Dinesh Baniya Kshatri

Discrete wavelet transform of finite-length signals must necessarily handle the signal boundaries. The state-of-the-art approaches treat such boundaries in a complicated and inflexible way, using special prolog or epilog phases. This holds…

Signal Processing · Electrical Eng. & Systems 2017-09-26 David Barina , Pavel Zemcik , Michal Kula

Thanks to the application of deep learning technology in point cloud processing of the remote sensing field, point cloud segmentation has become a research hotspot in recent years, which can be applied to real-world 3D, smart cities, and…

Computer Vision and Pattern Recognition · Computer Science 2024-08-06 Yong-Qiang Mao , Hanbo Bi , Xuexue Li , Kaiqiang Chen , Zhirui Wang , Xian Sun , Kun Fu

Existing networks directly learn feature representations on 3D point clouds for shape analysis. We argue that 3D point clouds are highly redundant and hold irregular (permutation-invariant) structure, which makes it difficult to achieve…

Machine Learning · Computer Science 2020-07-21 Sameera Ramasinghe , Salman Khan , Nick Barnes , Stephen Gould

The Easy Path Wavelet Transform is an adaptive transform for bivariate functions (in particular natural images) which has been proposed in [1]. It provides a sparse representation by finding a path in the domain of the function leveraging…

Information Theory · Computer Science 2017-02-16 Renato Budinich

The finite STFT Synchrosqueezing transform is a time-frequency analysis method that can decompose finite complex signals into time-varying oscillatory components. This representation is sparse and invertible, allowing recovery of the…

Numerical Analysis · Mathematics 2017-09-26 Mozhgan Mohammadpour , Bastiaan Kleijn , Rajab Ali Kamyabi Gol

We present a Multimodal Interlaced Transformer (MIT) that jointly considers 2D and 3D data for weakly supervised point cloud segmentation. Research studies have shown that 2D and 3D features are complementary for point cloud segmentation.…

Computer Vision and Pattern Recognition · Computer Science 2024-01-23 Cheng-Kun Yang , Min-Hung Chen , Yung-Yu Chuang , Yen-Yu Lin

Recent developments of imaging techniques enable researchers to visualize materials at the atomic resolution to better understand the microscopic structures of materials. This paper aims at automatic and quantitative characterization of…

Materials Science · Physics 2018-05-11 Jianfeng Lu , Haizhao Yang

Segmentation, a useful/powerful technique in pattern recognition, is the process of identifying object outlines within images. There are a number of efficient algorithms for segmentation in Euclidean space that depend on the variational…

Computer Vision and Pattern Recognition · Computer Science 2019-11-12 Xiaohao Cai , Christopher G. R. Wallis , Jennifer Y. H. Chan , Jason D. McEwen

Modern data is customarily of multimodal nature, and analysis tasks typically require separation into the single components. Although a highly ill-posed problem, the morphological difference of these components sometimes allow a very…

Functional Analysis · Mathematics 2012-04-30 Gitta Kutyniok

A novel method for learning optimal, orthonormal wavelet bases for representing 1- and 2D signals, based on parallels between the wavelet transform and fully connected artificial neural networks, is described. The structural similarities…

Neural and Evolutionary Computing · Computer Science 2018-09-03 Andreas Søgaard

P- and S-wave decomposition is essential for imaging multi-component seismic data in elastic media. A data-driven workflow is proposed to obtain a set of spatial filters that are highly accurate and artifact-free in decomposing the P- and…

Geophysics · Physics 2021-12-22 Wenlong Wang , Jianwei Ma , George A. McMechan

In nature, signals often appear in the form of the superposition of multiple non-stationary signals. The overlap of signal components in the time-frequency domain poses a significant challenge for signal analysis. One approach to addressing…

Signal Processing · Electrical Eng. & Systems 2025-10-14 Shuixin Li , Jiecheng Chen , Qingtang Jiang , Jian Lu

Very deep convolutional neural networks (CNNs) have been firmly established as the primary methods for many computer vision tasks. However, most state-of-the-art CNNs are large, which results in high inference latency. Recently, depth-wise…

Computer Vision and Pattern Recognition · Computer Science 2025-01-07 Yihui He , Jianing Qian , Jianren Wang , Cindy X. Le , Congrui Hetang , Qi Lyu , Wenping Wang , Tianwei Yue

We propose an unsupervised image fusion architecture for multiple application scenarios based on the combination of multi-scale discrete wavelet transform through regional energy and deep learning. To our best knowledge, this is the first…

Computer Vision and Pattern Recognition · Computer Science 2021-10-12 Shaolei Liu , Manning Wang , Zhijian Song

Over the past years, various representation systems which sparsely approximate functions governed by anisotropic features such as edges in images have been proposed. We exemplarily mention the systems of contourlets, curvelets, and…

Numerical Analysis · Mathematics 2012-04-01 Gitta Kutyniok , Wang-Q Lim , Xiaosheng Zhuang

In this work we present an extension of the Virtual Element Method with curved edges for the numerical approximation of the second order wave equation in a bidimensional setting. Curved elements are used to describe the domain boundary, as…

Numerical Analysis · Mathematics 2021-06-14 Franco Dassi , Alessio Fumagalli , Ilario Mazzieri , Anna Scotti , Giuseppe Vacca

Over the past years, various representation systems which sparsely approximate functions governed by anisotropic features such as edges in images have been proposed. We exemplarily mention the systems of contourlets, curvelets, and…

Numerical Analysis · Mathematics 2011-06-13 G. Kutyniok , W. -Q Lim , X. Zhuang