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We propose a multi-model formulation of full-waveform inversion that is similar to image decomposition into a "cartoon" and "texture" used in image processing. Inversion problem is formulated as unconstrained multi-norm optimization that…

Geophysics · Physics 2014-10-28 Musa Maharramov , Biondo Biondi

Mesh denoising, aimed at removing noise from input meshes while preserving their feature structures, is a practical yet challenging task. Despite the remarkable progress in learning-based mesh denoising methodologies in recent years, their…

Computer Vision and Pattern Recognition · Computer Science 2024-05-13 Wenbo Zhao , Xianming Liu , Deming Zhai , Junjun Jiang , Xiangyang Ji

Recently, 2D convolution has been found unqualified in sound event detection (SED). It enforces translation equivariance on sound events along frequency axis, which is not a shift-invariant dimension. To address this issue, dynamic…

Audio and Speech Processing · Electrical Eng. & Systems 2024-08-23 Haobo Yue , Zhicheng Zhang , Da Mu , Yonghao Dang , Jianqin Yin , Jin Tang

We tackle the problem of using 3D information in convolutional neural networks for down-stream recognition tasks. Using depth as an additional channel alongside the RGB input has the scale variance problem present in image convolution based…

Computer Vision and Pattern Recognition · Computer Science 2018-12-05 Hang Chu , Wei-Chiu Ma , Kaustav Kundu , Raquel Urtasun , Sanja Fidler

The first objective of this paper is to introduce a unified approach to the D/A conversion, a real-time algorithm referred to as {\it blending operator}, based on spline functions of arbitrarily desired order, to interpolate the irregular…

Numerical Analysis · Mathematics 2014-06-06 Charles K. Chui , Yu-Ting Lin , Hau-tieng Wu

We propose TrendSegment, a methodology for detecting multiple change-points corresponding to linear trend changes in one dimensional data. A core ingredient of TrendSegment is a new Tail-Greedy Unbalanced Wavelet transform: a conditionally…

Methodology · Statistics 2023-01-09 Hyeyoung Maeng , Piotr Fryzlewicz

Convolutional neural networks are able to perform a hierarchical learning process starting with local features. However, a limited attention is paid to enhancing such elementary level features like edges. We propose and evaluate two…

Computer Vision and Pattern Recognition · Computer Science 2019-02-05 D. D. N. De Silva , S. Fernando , I. T. S. Piyatilake , A. V. S. Karunarathne

Dynamic link prediction plays a crucial role in diverse applications including social network analysis, communication forecasting, and financial modeling. While recent Transformer-based approaches have demonstrated promising results in…

Machine Learning · Computer Science 2026-03-05 Hantong Feng , Yonggang Wu , Duxin Chen , Wenwu Yu

This paper develops a novel encoder-decoder deep network architecture which exploits the several contextual frames of 2D+t sequential images in a sliding window centered at current frame to segment 2D vessel masks from the current frame.…

Computer Vision and Pattern Recognition · Computer Science 2021-02-11 Dongdong Hao , Song Ding , Linwei Qiu , Yisong Lv , Baowei Fei , Yueqi Zhu , Binjie Qin

In many applications, it is necessary to retrieve the sub-signal building blocks of a multi-component signal, which is usually non-stationary in real-world and real-life applications. Empirical mode decomposition (EMD), synchrosqueezing…

Numerical Analysis · Mathematics 2022-05-30 Charles K. Chui , Qingtang Jiang , Lin Li , Jian Lu

We present a convolutional approach to reflection symmetry detection in 2D. Our model, built on the products of complex-valued wavelet convolutions, simplifies previous edge-based pairwise methods. Being parameter-centered, as opposed to…

Computer Vision and Pattern Recognition · Computer Science 2016-09-20 Marcelo Cicconet , Vighnesh Birodkar , Mads Lund , Michael Werman , Davi Geiger

We introduce a wide family of stochastic processes that are obtained as sums of self-similar localized "waveforms" with multiplicative intensity in the spirit of the Richardson cascade picture of turbulence. We establish the convergence and…

Data Analysis, Statistics and Probability · Physics 2019-04-17 Jean-François Muzy

Accurately segmenting 3D curvilinear structures in medical imaging remains challenging due to their complex geometry and the scarcity of diverse, large-scale datasets for algorithm development and evaluation. In this paper, we use dendritic…

Computer Vision and Pattern Recognition · Computer Science 2025-07-15 Leslie Gu , Jason Ken Adhinarta , Mikhail Bessmeltsev , Jiancheng Yang , Yongjie Jessica Zhang , Wenjie Yin , Daniel Berger , Jeff Lichtman , Hanspeter Pfister , Donglai Wei

The symplectic wavelet transformation [Opt. Lett. 31 (2006) 3432], which is related to quantum optical Fresnel transform, is developed to the symplectic-dilation mixed wavelet transform (SDWT). The SDWT involves both a real-variable…

Quantum Physics · Physics 2009-11-13 Hong-yi Fan , Shu-guang Liu , Li-yun Hu

Singular spectrum analysis is developed as a nonparametric spectral decomposition of a time series. It can be easily extended to the decomposition of multidimensional lattice-like data through the filtering interpretation. In this…

Computer Vision and Pattern Recognition · Computer Science 2015-05-08 Kenji Kume , Naoko Nose-Togawa

Point clouds are unstructured and unordered in the embedded 3D space. In order to produce consistent responses under different permutation layouts, most existing methods aggregate local spatial points through maximum or summation operation.…

Computer Vision and Pattern Recognition · Computer Science 2020-09-04 Yuan Fang , Chunyan Xu , Zhen Cui , Yuan Zong , Jian Yang

Convolution neural networks (CNNs) have succeeded in compressive image sensing. However, due to the inductive bias of locality and weight sharing, the convolution operations demonstrate the intrinsic limitations in modeling the long-range…

Image and Video Processing · Electrical Eng. & Systems 2022-01-03 Dongjie Ye , Zhangkai Ni , Hanli Wang , Jian Zhang , Shiqi Wang , Sam Kwong

The discrete wavelet transform can be found at the heart of many image-processing algorithms. Until now, the transform on general-purpose processors (CPUs) was mostly computed using a separable lifting scheme. As the lifting scheme consists…

Computer Vision and Pattern Recognition · Computer Science 2017-09-27 David Barina , Pavel Najman , Petr Kleparnik , Michal Kula , Pavel Zemcik

Image enhancement is a technique that frequently utilized in digital image processing. In recent years, the popularity of learning-based techniques for enhancing the aesthetic performance of photographs has increased. However, the majority…

Computer Vision and Pattern Recognition · Computer Science 2022-12-20 Zinuo Li , Xuhang Chen , Chi-Man Pun , Shuqiang Wang

Transformations for enhancing sparsity in the approximation of color images by 2D atomic decomposition are discussed. The sparsity is firstly considered with respect to the most significant coefficients in the wavelet decomposition of the…

Image and Video Processing · Electrical Eng. & Systems 2021-05-17 Laura Rebollo-Neira , Aurelien Inacio