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Hypernom is a virtual reality game. The cells of a regular 4D polytope are radially projected to S^3, the sphere in 4D space, then stereographically projected to 3D space where they are viewed in the headset. The orientation of the headset…

History and Overview · Mathematics 2015-07-22 Vi Hart , Andrea Hawksley , Henry Segerman , Marc ten Bosch

In this paper, we address the problem of stabilizing a system around a desired manifold determined by virtual nonlinear nonholonomic constraints. Virtual constraints are relationships imposed on a control system that are rendered invariant…

Systems and Control · Electrical Eng. & Systems 2025-02-07 Efstratios Stratoglou , Alexandre Anahory Simoes , Anthony Bloch , Leonardo Colombo

Legged robots have the potential to expand the reach of autonomy beyond paved roads. In this work, we consider the difficult problem of locomotion on challenging terrains using a single forward-facing depth camera. Due to the partial…

Robotics · Computer Science 2023-04-04 Ruihan Yang , Ge Yang , Xiaolong Wang

A Voronoi diagram is a basic geometric structure that partitions the space into regions associated with a given set of sites, such that all points in a region are closer to the corresponding site than to all other sites. While being…

Computational Geometry · Computer Science 2023-01-27 Tobias Friedrich , Maximilian Katzmann , Leon Schiller

Learning in hyperbolic spaces has attracted increasing attention due to its superior ability to model hierarchical structures of data. Most existing hyperbolic learning methods use fixed distance measures for all data, assuming a uniform…

Computer Vision and Pattern Recognition · Computer Science 2025-06-24 Pengxiang Li , Yuwei Wu , Zhi Gao , Xiaomeng Fan , Wei Wu , Zhipeng Lu , Yunde Jia , Mehrtash Harandi

Hyperbolic embeddings are a class of representation learning methods that offer competitive performances when data can be abstracted as a tree-like graph. However, in practice, learning hyperbolic embeddings of hierarchical data is…

Machine Learning · Computer Science 2024-07-24 Zhangyu Wang , Lantian Xu , Zhifeng Kong , Weilong Wang , Xuyu Peng , Enyang Zheng

Understanding the intricate mappings between visual stimuli and neural responses is a fundamental challenge in cognitive neuroscience. While current approaches predominantly align images and functional magnetic resonance imaging (fMRI)…

Computer Vision and Pattern Recognition · Computer Science 2026-05-12 Zihan Ma , Tian Xia , Kexin Wang , Xiao Li , Xiaowei He , Yudan Ren

We present Holoview, an augmented reality (AR) system designed to support immersive and interactive learning of human anatomy. Holoview enables users to dynamically explore volumetric anatomical data through intuitive hand gestures in a 3D…

Graphics · Computer Science 2025-07-15 Anshul Goswami , Ojaswa Sharma

Holography is capable of rendering three-dimensional scenes with full-depth control, and delivering transformative experiences across numerous domains, including virtual and augmented reality, education, and communication. However,…

Optics · Physics 2024-09-12 Zhenxing Dong , Yuye Ling , Yan Li , Yikai Su

This paper investigates the notion of learning user and item representations in non-Euclidean space. Specifically, we study the connection between metric learning in hyperbolic space and collaborative filtering by exploring Mobius…

Information Retrieval · Computer Science 2019-12-02 Lucas Vinh Tran , Yi Tay , Shuai Zhang , Gao Cong , Xiaoli Li

During medicine studies, visualization of certain elements is common and indispensable in order to get more information about the way they work. Currently, we resort to the use of photographs -which are insufficient due to being static- or…

Graphics · Computer Science 2016-07-21 Juan Perozo , Mimia Lo Leung , Esmitt Ramírez

What is Virtual Reality? A professional tool, made to facilitate our everyday tasks? A conceptual mistake, accompanied by cybersickness and unsolved locomotion issues since the very beginning? Or just another source of entertainment that…

Human-Computer Interaction · Computer Science 2020-09-10 Andrey Krekhov

Medical anomaly detection has emerged as a promising solution to challenges in data availability and labeling constraints. Traditional methods extract features from different layers of pre-trained networks in Euclidean space; however,…

Computer Vision and Pattern Recognition · Computer Science 2025-05-28 Alvaro Gonzalez-Jimenez , Simone Lionetti , Ludovic Amruthalingam , Philippe Gottfrois , Fabian Gröger , Marc Pouly , Alexander A. Navarini

Modeling the inherent hierarchical structure of 3D objects and 3D scenes is highly desirable, as it enables a more holistic understanding of environments for autonomous agents. Accomplishing this with implicit representations, such as…

Computer Vision and Pattern Recognition · Computer Science 2025-10-27 Lisa Weijler , Sebastian Koch , Fabio Poiesi , Timo Ropinski , Pedro Hermosilla

This paper presents a new technique for the virtual reality (VR) visu-alization of complex volume images obtained from computer tomography (CT) and Magnetic Resonance Imaging (MRI) by combining three-dimensional (3D) mesh processing and…

Multimedia · Computer Science 2023-05-02 Iva Vasic , Roberto Pierdicca , Emanuele Frontoni , Bata Vasic

In this paper, we describe the development and operating principles of an immersive virtual reality (VR) visualisation environment that is designed around the use of consumer VR headsets in an existing wide area motion capture suite. We…

Human-Computer Interaction · Computer Science 2016-04-21 Stefan Marks , Javier E. Estevez , Andy M. Connor

Metric learning plays a critical role in training image retrieval and classification. It is also a key algorithm in representation learning, e.g., for feature learning and its alignment in metric space. Hyperbolic embedding has been…

Computer Vision and Pattern Recognition · Computer Science 2023-10-24 Shiyang Yan , Zongxuan Liu , Lin Xu

Virtual Reality (VR) is an exciting new consumer technology which offers an immersive audio-visual experience to users through which they can navigate and interact with a digitally represented 3D space (i.e., a virtual world) using a…

Cryptography and Security · Computer Science 2024-04-16 Mohd Sabra , Nisha Vinayaga Sureshkanth , Ari Sharma , Anindya Maiti , Murtuza Jadliwala

Mobile navigation apps are among the most used mobile applications and are often used as a baseline to evaluate new mobile navigation technologies in field studies. As field studies often introduce external factors that are hard to control…

Graph representation learning in Euclidean space, despite its widespread adoption and proven utility in many domains, often struggles to effectively capture the inherent hierarchical and complex relational structures prevalent in real-world…

Machine Learning · Computer Science 2025-08-26 Menglin Yang , Min Zhou , Tong Zhang , Jiahong Liu , Zhihao Li , Lujia Pan , Hui Xiong , Irwin King