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This paper develops a constructive numerical scheme for Fourier-Bessel approximations on disks compatible with convolutions supported on disks. We address accurate finite Fourier-Bessel transforms (FFBT) and inverse finite Fourier-Bessel…

数值分析 · 数学 2023-11-08 Arash Ghaani Farashahi , Gregory S. Chirikjian

Establishing accurate 3D correspondences between shapes stands as a pivotal challenge with profound implications for computer vision and robotics. However, existing self-supervised methods for this problem assume perfect input shape…

计算机视觉与模式识别 · 计算机科学 2024-04-23 Chunghyun Park , Seungwook Kim , Jaesik Park , Minsu Cho

Text-to-image generation powered by Diffusion Transformers (DiTs) has made remarkable strides, yet remote sensing (RS) synthesis lags behind due to two barriers: the absence of a domain-specialized DiT prior and the prohibitive cost of…

计算机视觉与模式识别 · 计算机科学 2026-05-05 Bingxuan Zhao , Qing Zhou , Chuang Yang , Qi Wang

Four different applications of spectral proper orthogonal decomposition (SPOD): low-rank reconstruction, denoising, frequency-time analysis, and prewhitening are demonstrated on large-eddy simulation data of a turbulent jet. SPOD-based…

流体动力学 · 物理学 2021-09-22 Akhil Nekkanti , Oliver T. Schmidt

Ultrasound Tomography has seen a revival of interest in the past decade, especially for breast imaging, due to improvements in both ultrasound and computing hardware. In particular, three-dimensional ultrasound tomography, a fully…

计算物理 · 物理学 2020-05-27 Ashkan Javaherian , Felix Lucka , Ben Cox

The Fast Fourier Transform (FFT) is the most efficiently known way to compute the Discrete Fourier Transform (DFT) of an arbitrary n-length signal, and has a computational complexity of O(n log n). If the DFT X of the signal x has only k…

信息论 · 计算机科学 2015-01-05 Sameer Pawar , Kannan Ramchandran

The Dirac-{\delta} distribution may be realized through sequences of convlutions, the latter being also regarded as approximation to the identity. The present study proposes the so called pre-orthogonal adaptive Fourier decomposition…

经典分析与常微分方程 · 数学 2020-08-04 Wei Qu , Tao Qian , Guan-Tie Deng

Many modern robotics systems employ LiDAR as their main sensing modality due to its geometrical richness. Rolling shutter LiDARs are particularly common, in which an array of lasers scans the scene from a rotating base. Points are emitted…

计算机视觉与模式识别 · 计算机科学 2020-11-16 Davi Frossard , Simon Suo , Sergio Casas , James Tu , Rui Hu , Raquel Urtasun

The two-layer quasi-geostrophic equations (2QGE) serve as a simplified model for simulating wind-driven, stratified ocean flows. However, their numerical simulation remains computationally expensive due to the need for high-resolution…

数值分析 · 数学 2025-04-23 Lander Besabe , Michele Girfoglio , Annalisa Quaini , Gianluigi Rozza

We propose DLTPose, a novel method for 6DoF object pose estimation from RGBD images that combines the accuracy of sparse keypoint methods with the robustness of dense pixel-wise predictions. DLTPose predicts per-pixel radial distances to a…

计算机视觉与模式识别 · 计算机科学 2025-08-19 Akash Jadhav , Michael Greenspan

Consensus-based decentralized stochastic gradient descent (D-SGD) is a widely adopted algorithm for decentralized training of machine learning models across networked agents. A crucial part of D-SGD is the consensus-based model averaging,…

信息论 · 计算机科学 2025-02-12 Daniel Pérez Herrera , Zheng Chen , Erik G. Larsson

We propose a sampling scheme on the sphere and develop a corresponding spherical harmonic transform (SHT) for the accurate reconstruction of the diffusion signal in diffusion magnetic resonance imaging (dMRI). By exploiting the antipodal…

医学物理 · 物理学 2015-02-26 Alice P. Bates , Zubair Khalid , Rodney A. Kennedy

Purpose: Quasi-random Sobol-based sampling schemes exhibit deterministic structural artifacts when aggressively undersampled, particularly at low encoding densities required for accelerated 2D SPI/CSI. To address these limitations, two…

医学物理 · 物理学 2026-04-22 Fabian Bschorr , Pia Gebhard , Tobias Speidel , Volker Rasche

Over the past year, 3D Gaussian Splatting (3DGS) has received significant attention for its ability to represent 3D scenes in a perceptually accurate manner. However, it can require a substantial amount of storage since each splat's…

计算机视觉与模式识别 · 计算机科学 2025-04-11 Brent Zoomers , Maarten Wijnants , Ivan Molenaers , Joni Vanherck , Jeroen Put , Lode Jorissen , Nick Michiels

This paper provides a detailed theoretical analysis of methods to approximate the solutions of high-dimensional (>10^6) linear Bayesian problems. An optimal low-rank projection that maximizes the information content of the Bayesian…

数据分析、统计与概率 · 物理学 2019-10-28 Nicolas Bousserez , Daven K. Henze

Multi-channel short-time Fourier transform (STFT) domain-based processing of reverberant microphone signals commonly relies on power-spectral-density (PSD) estimates of early source images, where early refers to reflections contained within…

音频与语音处理 · 电气工程与系统科学 2022-11-21 T. Dietzen , S. Doclo , M. Moonen , T. van Waterschoot

We propose a pivotal method for estimating high-dimensional sparse linear regression models, where the overall number of regressors $p$ is large, possibly much larger than $n$, but only $s$ regressors are significant. The method is a…

统计方法学 · 统计学 2015-03-17 Alexandre Belloni , Victor Chernozhukov , Lie Wang

We propose a new algorithm to compute a shifted proper orthogonal decomposition (sPOD) for systems dominated by multiple transport velocities. The sPOD is a recently proposed mode decomposition technique which overcomes the poor performance…

数值分析 · 数学 2018-03-06 Philipp Schulze , Julius Reiss , Volker Mehrmann

Anisotropic rotation averaging has recently been explored as a natural extension of respective isotropic methods. In the anisotropic formulation, uncertainties of the estimated relative rotations -- obtained via standard two-view…

计算机视觉与模式识别 · 计算机科学 2025-09-09 Yaroslava Lochman , Carl Olsson , Christopher Zach

Traditional range-instantaneous Doppler (RID) methods for rigid-body target imaging often suffer from low resolution due to the limitations of time-frequency analysis (TFA). To address this challenge, our primary focus is on obtaining high…

计算机视觉与模式识别 · 计算机科学 2025-03-31 Boan Zhang , Hang Dong , Jiongge Zhang , Long Tian , Rongrong Wang , Zhenhua Wu , Xiyang Liu , Hongwei Liu