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HOLONOMY is a virtual environment based on the mathematical concept of hyperbolic geometry. Unlike other environments, HOLONOMY allows users to seamlessly explore an infinite hyperbolic space by physically walking. They use their body as…

Graphics · Computer Science 2024-09-10 Martin Skrodzki , Scott Jochems , Joris Rijsdijk , Ravi Snellenberg , Rafael Bidarra

Large curved displays are ideal for viewing 360 degree content, such as 3D maps, but typically restrict users to a 180 degree viewport, leaving information off-screen. Since users naturally direct their heads toward regions on-screen before…

Human-Computer Interaction · Computer Science 2026-03-16 A K M Amanat Ullah , David Ahlström , Khalad Hasan

Virtual-reality simulations of curved space are most effective and most fun when presented as a game (for example, curved-space billiards), so the user not only has something to see in the curved space, but also has something fun to do…

Physics Education · Physics 2021-05-06 Jeff Weeks

Mental rotation -- the ability to compare objects seen from different viewpoints -- is a fundamental example of mental simulation and spatial world modeling in humans. Here we propose a mechanistic model of human mental rotation, leveraging…

Neurons and Cognition · Quantitative Biology 2026-05-29 Raymond Khazoum , Daniela Fernandes , Aleksandr Krylov , Qin Li , Stephane Deny

We propose an efficient Stereographic Projection Neural Network (SPNet) for learning representations of 3D objects. We first transform a 3D input volume into a 2D planar image using stereographic projection. We then present a shallow 2D…

Computer Vision and Pattern Recognition · Computer Science 2019-01-25 Mohsen Yavartanoo , Eu Young Kim , Kyoung Mu Lee

Solving image-to-3D from a single view is an ill-posed problem, and current neural reconstruction methods addressing it through diffusion models still rely on scene-specific optimization, constraining their generalization capability. To…

Computer Vision and Pattern Recognition · Computer Science 2024-01-09 Christian Simon , Sen He , Juan-Manuel Perez-Rua , Mengmeng Xu , Amine Benhalloum , Tao Xiang

The semi-random hypergraph process is a natural generalisation of the semi-random graph process, which can be thought of as a one player game. For fixed $r < s$, starting with an empty hypergraph on $n$ vertices, in each round a set of $r$…

Combinatorics · Mathematics 2025-11-20 Natalie Behague , Pawel Pralat , Andrzej Rucinski

A method to visualize polytopes in a four dimensional euclidian space $(x,y,z,w)$ is proposed. A polytope is sliced by multiple hyperplanes that are parallel each other and separated by uniform intervals. Since the hyperplanes are…

Graphics · Computer Science 2016-07-06 Akira Kageyama

We introduce \textit{HeadZoom}, a hands-free interaction technique for navigating two-dimensional visual content using head movements. HeadZoom enables fluid zooming and panning using only real-time head tracking. It supports natural…

Human-Computer Interaction · Computer Science 2025-08-12 Kaining Zhang , Catarina Moreira , Pedro Belchior , Gun Lee , Mark Billinghurst , Joaquim Jorge

We consider a four-player game on the discrete hypercube $Q_n = \{0,1\}^n$, where each of the four players has chosen a single vertex of the hypercube. Such a position is called a profile. Imagine there is a voter at every vertex, and each…

Combinatorics · Mathematics 2025-10-30 Stelios Stylianou

Virtual Reality, and Extended Reality in general, connect the physical body with the virtual world. Movement of our body translates to interactions with this virtual world. Only by moving our head will we see a different perspective. By…

Multimedia · Computer Science 2022-12-09 Glenn Van Wallendael , Lucas Liegeois , Julie Artois , Peter Lambert

We present HOReeNet, which tackles the novel task of manipulating images involving hands, objects, and their interactions. Especially, we are interested in transferring objects of source images to target images and manipulating 3D hand…

Computer Vision and Pattern Recognition · Computer Science 2022-11-14 Changhwa Lee , Junuk Cha , Hansol Lee , Seongyeong Lee , Donguk Kim , Seungryul Baek

This work focuses on object goal visual navigation, aiming at finding the location of an object from a given class, where in each step the agent is provided with an egocentric RGB image of the scene. We propose to learn the agent's policy…

Computer Vision and Pattern Recognition · Computer Science 2021-04-21 Bar Mayo , Tamir Hazan , Ayellet Tal

We study the task of semantic mapping - specifically, an embodied agent (a robot or an egocentric AI assistant) is given a tour of a new environment and asked to build an allocentric top-down semantic map ("what is where?") from egocentric…

Computer Vision and Pattern Recognition · Computer Science 2021-03-12 Vincent Cartillier , Zhile Ren , Neha Jain , Stefan Lee , Irfan Essa , Dhruv Batra

An aspirational goal for virtual reality (VR) is to bring in a rich diversity of real world objects losslessly. Existing VR applications often convert objects into explicit 3D models with meshes or point clouds, which allow fast interactive…

Computer Vision and Pattern Recognition · Computer Science 2022-08-19 Naruya Kondo , So Kuroki , Ryosuke Hyakuta , Yutaka Matsuo , Shixiang Shane Gu , Yoichi Ochiai

Hyperdimensional (HD) computing is a set of neurally inspired methods for obtaining high-dimensional, low-precision, distributed representations of data. These representations can be combined with simple, neurally plausible algorithms to…

Machine Learning · Computer Science 2022-02-21 Anthony Thomas , Sanjoy Dasgupta , Tajana Rosing

The space of finite games can be decomposed into three orthogonal subspaces [5], which are the subspaces of pure potential games, nonstrategic games and pure harmonic games. The orthogonal projections onto these subspaces are represented as…

Optimization and Control · Mathematics 2015-12-29 Kuize Zhang

Embodied reasoning is inherently viewpoint-dependent: what is visible, occluded, or reachable depends critically on where the agent stands. However, existing spatial memory systems for embodied agents typically store either multi-view…

Artificial Intelligence · Computer Science 2026-03-17 JooHyun Park , HyeongYeop Kang

Virtual reality (VR) interfaces for robots provide a three-dimensional (3D) view of the robot in its environment, which allows people to better plan complex robot movements in tight or cluttered spaces. In our prior work, we created a VR…

Robotics · Computer Science 2021-04-27 Gregory LeMasurier , Jordan Allspaw , Holly A. Yanco

Vision Transformer has shown great visual representation power in substantial vision tasks such as recognition and detection, and thus been attracting fast-growing efforts on manually designing more effective architectures. In this paper,…

Computer Vision and Pattern Recognition · Computer Science 2021-11-30 Minghao Chen , Kan Wu , Bolin Ni , Houwen Peng , Bei Liu , Jianlong Fu , Hongyang Chao , Haibin Ling
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