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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…

Computational Physics · Physics 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…

Mathematical Physics · Physics 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Signal Processing · Electrical Eng. & Systems 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…

Computer Vision and Pattern Recognition · Computer Science 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,…

Differential Geometry · Mathematics 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Graphics · Computer Science 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…

High Energy Physics - Theory · Physics 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…

Computational Geometry · Computer Science 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Computer Vision and Pattern Recognition · Computer Science 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…

High Energy Physics - Theory · Physics 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Graphics · Computer Science 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…

Quantitative Methods · Quantitative Biology 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Computer Vision and Pattern Recognition · Computer Science 2023-02-24 Lin Zhan , Jiayuan Fan , Peng Ye , Jianjian Cao