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We present fast simulation methods for the self-assembly of complex shapes in two dimensions. The shapes are modeled via a general boundary curve and interact via a standard volume term promoting overlap and an interpenetration penalty. To…

计算物理 · 物理学 2023-12-11 Lukas Mayrhofer , Myfanwy E. Evans , Gero Friesecke

The derivation scheme for hyperspherical harmonics (HSH) with arbitrary arguments is proposed. It is demonstrated that HSH can be presented as the product of HSH corresponding to spaces with lower dimensionality multiplied by the orthogonal…

数学物理 · 物理学 2009-11-13 A. V. Meremianin

Automatic mammogram classification and mass segmentation play a critical role in a computer-aided mammogram screening system. In this work, we present a unified mammogram analysis framework for both whole-mammogram classification and…

计算机视觉与模式识别 · 计算机科学 2018-09-03 Rongzhao Zhang , Han Zhang , Albert C. S. Chung

Heatmap regression (HR) has become one of the mainstream approaches for face alignment and has obtained promising results under constrained environments. However, when a face image suffers from large pose variations, heavy occlusions and…

计算机视觉与模式识别 · 计算机科学 2020-12-30 Jun Wan , Zhihui Lai , Jun Liu , Jie Zhou , Can Gao

Human pose and shape (HPS) estimation with lensless imaging is not only beneficial to privacy protection but also can be used in covert surveillance scenarios due to the small size and simple structure of this device. However, this task…

计算机视觉与模式识别 · 计算机科学 2024-04-09 Haoyang Ge , Qiao Feng , Hailong Jia , Xiongzheng Li , Xiangjun Yin , You Zhou , Jingyu Yang , Kun Li

Hybrid beamforming architectures reduce hardware complexity but restrict access to full array observations, rendering direct implementation of classical covariance based methods such as minimum variance distortionless response (MVDR) and…

信号处理 · 电气工程与系统科学 2026-04-22 Tarun Suman Cousik , Rohit Rangaraj , Nishith Tripathi , Jeffrey H Reed , Daniel Jakubisin , Jon Kraft

This paper proposes a geometric interpretation of the angles and scales which the orientation- and scale-covariant feature detectors, e.g. SIFT, provide. Two new general constraints are derived on the scales and rotations which can be used…

计算机视觉与模式识别 · 计算机科学 2019-07-01 Daniel Barath , Zuzana Kukelova

We prove that given a pseudo-Riemannian conformal structure whose conformal holonomy representation fixes a totally lightlike subspace of arbitrary dimension, there is, wrt. a local metric in the conformal class defined off a singular set,…

微分几何 · 数学 2014-08-08 Andree Lischewski

3D Hand reconstruction from a single RGB image is challenging due to the articulated motion, self-occlusion, and interaction with objects. Existing SOTA methods employ attention-based transformers to learn the 3D hand pose and shape, yet…

计算机视觉与模式识别 · 计算机科学 2025-11-27 Haoye Dong , Aviral Chharia , Wenbo Gou , Francisco Vicente Carrasco , Fernando De la Torre

In this paper, we present a spectral graph wavelet approach for shape analysis of carpal bones of human wrist. We apply a metric called global spectral graph wavelet signature for representation of cortical surface of the carpal bone based…

图形学 · 计算机科学 2018-03-14 Majid Masoumi , A. Ben Hamza

The conformal symmetry algebra in 2D (Diff($S^{1}$)$\oplus$Diff($S^{1}$)) is shown to be related to its ultra/non-relativistic version (BMS$_{3}$$\approx$GCA$_{2}$) through a nonlinear map of the generators, without any sort of limiting…

高能物理 - 理论 · 物理学 2021-12-08 Pablo Rodríguez , David Tempo , Ricardo Troncoso

Comparison between multidimensional persistent Betti numbers is often based on the multidimensional matching distance. While this metric is rather simple to define and compute by considering a suitable family of filtering functions…

计算几何 · 计算机科学 2016-03-15 Andrea Cerri , Marc Ethier , Patrizio Frosini

2D to 3D registration is essential in tasks such as diagnosis, surgical navigation, environmental understanding, navigation in robotics, autonomous systems, or augmented reality. In medical imaging, the aim is often to place a 2D image in a…

计算机视觉与模式识别 · 计算机科学 2024-10-25 Stefan Brandstätter , Philipp Seeböck , Christoph Fürböck , Svitlana Pochepnia , Helmut Prosch , Georg Langs

Recognizing handwritten mathematical expressions (HMER) is a challenging task due to the inherent two-dimensional structure, varying symbol scales, and complex spatial relationships among symbols. In this paper, we present a self-supervised…

计算机视觉与模式识别 · 计算机科学 2025-09-01 Shree Mitra , Ritabrata Chakraborty , Nilkanta Sahu

We generalize the connection between 2t physics and noncommutative geometry. In particular, we apply our formalism to a target spacetime of signature (2+2). Specifically, we compute an algebra of a generalized SL(2, R)-Hamiltonian…

高能物理 - 理论 · 物理学 2009-04-22 J. A. Nieto

Low-rank sparse regression models have been widely adopted in face recognition due to their robustness against occlusion and illumination variations. However, existing methods often suffer from insufficient feature representation and…

计算机视觉与模式识别 · 计算机科学 2025-11-18 Hongxia Li , Ying Ji , Yongxin Dong , Yuehua Feng

Spherical harmonics are a favorable technique for 3D representation, employing a frequency-based approach through the spherical harmonic transform (SHT). Typically, SHT is performed using equiangular sampling grids. However, these grids are…

图形学 · 计算机科学 2025-02-28 Zikuan Li , Anyi Huang , Wenru Jia , Qiaoyun Wu , Mingqiang Wei , Jun Wang

This paper presents a method to identify substructures in NMR spectra of mixtures, specifically 2D spectra, using a bespoke image-based Convolutional Neural Network application. This is done using HSQC and HMBC spectra separately and in…

定量方法 · 定量生物学 2021-11-01 Stefan Kuhn , Eda Tumer , Simon Colreavy-Donnelly , Ricardo Moreira Borges

In this paper, we propose a method to represent a fingerprint image by an ordered, fixed-length bit-string providing improved accuracy performance, faster matching time and compressibility. First, we devise a novel minutia-based local…

计算机视觉与模式识别 · 计算机科学 2018-11-29 Jun Beom Kho , Andrew B. J. Teoh , Wonjune Lee , Jaihie Kim

Existing deep learning-based hyperspectral image (HSI) classification works still suffer from the limitation of the fixed-sized receptive field, leading to difficulties in distinctive spectral-spatial features for ground objects with…

计算机视觉与模式识别 · 计算机科学 2023-02-24 Lin Zhan , Jiayuan Fan , Peng Ye , Jianjian Cao