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Many phenomena are naturally characterized by measuring continuous transformations such as shape changes in medicine or articulated systems in robotics. Modeling the variability in such datasets requires performing statistics on Lie groups,…

Methodology · Statistics 2025-08-19 Johannes Schade , Christoph von Tycowicz , Martin Hanik

We propose a real-time 3D human pose estimation and motion analysis method termed RePose for rehabilitation training. It is capable of real-time monitoring and evaluation of patients'motion during rehabilitation, providing immediate…

Computer Vision and Pattern Recognition · Computer Science 2026-01-05 Junxiao Xue , Pavel Smirnov , Ziao Li , Yunyun Shi , Shi Chen , Xinyi Yin , Xiaohan Yue , Lei Wang , Yiduo Wang , Feng Lin , Yijia Chen , Xiao Ma , Xiaoran Yan , Qing Zhang , Fengjian Xue , Xuecheng Wu

Geometric mechanics models of locomotion have provided insight into how robots and animals use environmental interactions to convert internal shape changes into displacement through the world, encoding this relationship in a ``motility…

Robotics · Computer Science 2025-12-30 Ross L. Hatton , Yousef Salaman , Shai Revzen

Registration of 3D human body has been a challenging research topic for over decades. Most of the traditional human body registration methods require manual assistance, or other auxiliary information such as texture and markers. The…

Graphics · Computer Science 2018-11-27 Zongyi Xu , Qianni Zhang , Shiyang Cheng

Human pose estimation in two-dimensional images videos has been a hot topic in the computer vision problem recently due to its vast benefits and potential applications for improving human life, such as behaviors recognition, motion capture…

Computer Vision and Pattern Recognition · Computer Science 2022-02-08 Thong Duy Nguyen , Milan Kresovic

Humans have the remarkable ability to use held objects as tools to interact with their environment. For this to occur, humans internally estimate how hand movements affect the object's movement. We wish to endow robots with this capability.…

Robotics · Computer Science 2024-07-16 Weiming Zhi , Haozhan Tang , Tianyi Zhang , Matthew Johnson-Roberson

This paper presents a mathematical framework for analyzing machine learning models through the geometry of their induced partitions. By representing partitions as Riemannian simplicial complexes, we capture not only adjacency relationships…

Machine Learning · Computer Science 2025-08-05 Pawel Gajer , Jacques Ravel

Human pose estimation (i.e., locating the body parts / joints of a person) is a fundamental problem in human-computer interaction and multimedia applications. Significant progress has been made based on the development of depth sensors,…

Computer Vision and Pattern Recognition · Computer Science 2016-08-16 Keze Wang , Shengfu Zhai , Hui Cheng , Xiaodan Liang , Liang Lin

Human activity recognition in videos has been widely studied and has recently gained significant advances with deep learning approaches; however, it remains a challenging task. In this paper, we propose a novel framework that simultaneously…

Computer Vision and Pattern Recognition · Computer Science 2021-01-25 Dong-Gyu Lee , Seong-Whan Lee

Parametric 3D models have enabled a wide variety of tasks in computer graphics and vision, such as modeling human bodies, faces, and hands. However, the construction of these parametric models is often tedious, as it requires heavy manual…

Computer Vision and Pattern Recognition · Computer Science 2021-08-06 Pablo Palafox , Aljaž Božič , Justus Thies , Matthias Nießner , Angela Dai

This study investigates the application of Riemannian geometry-based methods for brain decoding using invasive electrophysiological recordings. Although previously employed in non-invasive, the utility of Riemannian geometry for invasive…

Egocentric human pose estimation aims to estimate human body poses and develop body representations from a first-person camera perspective. It has gained vast popularity in recent years because of its wide range of applications in sectors…

Computer Vision and Pattern Recognition · Computer Science 2024-04-19 Md Mushfiqur Azam , Kevin Desai

This paper presents a new axis-based shape representation scheme along with a matching framework to address the problem of generic shape recognition. The main idea is to define the relative spatial arrangement of local symmetry axes and…

Computer Vision and Pattern Recognition · Computer Science 2011-04-15 Cagri Aslan , Sibel Tari

Most of the previous 3D human pose estimation work relied on the powerful memory capability of the network to obtain suitable 2D-3D mappings from the training data. Few works have studied the modeling of human posture deformation in motion.…

Computer Vision and Pattern Recognition · Computer Science 2023-08-22 Haorui Ji , Hui Deng , Yuchao Dai , Hongdong Li

Newtonian, Lagrangian, and Hamiltonian dynamical systems are well formalized mathematically. They give rise to geometric structures describing motion of a point in smooth manifolds. Riemannian metric is a different geometric structure…

Differential Geometry · Mathematics 2007-05-23 Ruslan Sharipov

Human similarity judgments are inconsistent with Euclidean, Hamming, Mahalanobis, and the majority of measures used in the extensive literatures on similarity and dissimilarity. From intrinsic properties of brain circuitry, we derive…

Neurons and Cognition · Quantitative Biology 2017-09-27 Antonio M Rodriguez , Richard Granger

We investigate the problem of estimating the 3D shape of an object, given a set of 2D landmarks in a single image. To alleviate the reconstruction ambiguity, a widely-used approach is to confine the unknown 3D shape within a shape space…

Computer Vision and Pattern Recognition · Computer Science 2015-06-03 Xiaowei Zhou , Spyridon Leonardos , Xiaoyan Hu , Kostas Daniilidis

Constructing and animating humans is an important component for building virtual worlds in a wide variety of applications such as virtual reality or robotics testing in simulation. As there are exponentially many variations of humans with…

Computer Vision and Pattern Recognition · Computer Science 2021-01-19 Ze Yang , Shenlong Wang , Sivabalan Manivasagam , Zeng Huang , Wei-Chiu Ma , Xinchen Yan , Ersin Yumer , Raquel Urtasun

We propose a novel efficient and lightweight model for human pose estimation from a single image. Our model is designed to achieve competitive results at a fraction of the number of parameters and computational cost of various…

Computer Vision and Pattern Recognition · Computer Science 2020-02-11 Hossam Isack , Christian Haene , Cem Keskin , Sofien Bouaziz , Yuri Boykov , Shahram Izadi , Sameh Khamis

The estimation of surface integrals on the boundary of an unknown body is a challenge for nonparametric methods in statistics, with powerful applications to physics and image analysis, among other fields. Provided that one can determine…

Statistics Theory · Mathematics 2011-03-09 Raúl Jiménez , J. E. Yukich
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