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We consider the problem of projecting a convex set onto a subspace, or equivalently formulated, the problem of computing a set obtained by applying a linear mapping to a convex feasible set. This includes the problem of approximating convex…

Optimization and Control · Mathematics 2024-12-11 Gabriela Kováčová , Birgit Rudloff

Online construction of open-ended language scenes is crucial for robotic applications, where open-vocabulary interactive scene understanding is required. Recently, neural implicit representation has provided a promising direction for online…

Computer Vision and Pattern Recognition · Computer Science 2025-04-22 Muer Tie , Julong Wei , Zhengjun Wang , Ke Wu , Shansuai Yuan , Kaizhao Zhang , Jie Jia , Jieru Zhao , Zhongxue Gan , Wenchao Ding

With virtual reality, digital painting on 2D canvases is now being extended to 3D spaces. Tilt Brush and Oculus Quill are widely accepted among artists as tools that pave the way to a new form of art - 3D emmersive painting. Current 3D…

Graphics · Computer Science 2017-04-11 Yeojin Kim , Byungmoon Kim , Jiyang Kim , Young J. Kim

The main objective of the present paper is to investigate a sufficient condition for which a rectifying curve on a smooth surface remains invariant under isometry of surfaces, and also it is shown that under such an isometry the component…

General Mathematics · Mathematics 2018-08-13 Absos Ali Shaikh , Pinaki Ranjan Ghosh

Spatial resolution of depth sensors is often significantly lower compared to that of conventional optical cameras. Recent work has explored the idea of improving the resolution of depth using higher resolution intensity as a side…

Computer Vision and Pattern Recognition · Computer Science 2016-03-08 Ulugbek S. Kamilov , Petros T. Boufounos

3D vector graphics play a crucial role in various applications including 3D shape retrieval, conceptual design, and virtual reality interactions due to their ability to capture essential structural information with minimal representation.…

Computer Vision and Pattern Recognition · Computer Science 2025-05-27 Chuang Wang , Haitao Zhou , Ling Luo , Qian Yu

In the present paper, we discuss the design of a projection system with curved display and its enhancement by variably adjusting the curvature. We demonstrate that the focal surface curvature varies significantly with a change of the object…

Camera-based 3D semantic scene completion (SSC) offers a cost-effective solution for assessing the geometric occupancy and semantic labels of each voxel in the surrounding 3D scene with image inputs, providing a voxel-level scene perception…

Computer Vision and Pattern Recognition · Computer Science 2026-02-04 Zhiwen Yang , Yuxin Peng

In this paper we initiate the investigation of Virtual Elements with curved faces. We consider the case of a fixed curved boundary in two dimensions, as it happens in the approximation of problems posed on a curved domain or with a curved…

Numerical Analysis · Mathematics 2018-10-16 L. Beirão da Veiga , A. Russo , G. Vacca

Video super-resolution (VSR) is a critical task for enhancing low-bitrate and low-resolution videos, particularly in streaming applications. While numerous solutions have been developed, they often suffer from high computational demands,…

Image and Video Processing · Electrical Eng. & Systems 2024-09-27 Marcos V Conde , Zhijun Lei , Wen Li , Christos Bampis , Ioannis Katsavounidis , Radu Timofte

The representation of parallax on virtual environment is still a problem to be studied. Common algorithms, such as Bump Mapping, Parallax Mapping and Displacement Mapping, treats this problem for small disparity between a real object and a…

Graphics · Computer Science 2024-02-27 Alexandre Yip Gonçalves Dias , Marcelo Knörich Zuffo

Humans can easily imagine the complete 3D geometry of occluded objects and scenes. This appealing ability is vital for recognition and understanding. To enable such capability in AI systems, we propose VoxFormer, a Transformer-based…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Yiming Li , Zhiding Yu , Christopher Choy , Chaowei Xiao , Jose M. Alvarez , Sanja Fidler , Chen Feng , Anima Anandkumar

Omnidirectional (360{\deg}) video has got quite popular because it provides a highly immersive viewing experience. For computer vision algorithms, it poses several challenges, like the special (equirectangular) projection commonly employed…

Computer Vision and Pattern Recognition · Computer Science 2019-07-23 Hannes Fassold

In this paper, we focus on recognizing 3D shapes from arbitrary views, i.e., arbitrary numbers and positions of viewpoints. It is a challenging and realistic setting for view-based 3D shape recognition. We propose a canonical view…

Computer Vision and Pattern Recognition · Computer Science 2021-08-18 Xin Wei , Yifei Gong , Fudong Wang , Xing Sun , Jian Sun

We present a novel way of approaching image-based 3D reconstruction based on radiance fields. The problem of volumetric reconstruction is formulated as a non-linear least-squares problem and solved explicitly without the use of neural…

Computer Vision and Pattern Recognition · Computer Science 2021-12-13 Sverker Rasmuson , Erik Sintorn , Ulf Assarsson

Plotting solution sets for particular equations may be complicated by the existence of turning points. Here we describe an algorithm which not only overcomes such problematic points, but does so in the most general of settings. Applications…

Numerical Analysis · Mathematics 2011-07-05 Steven Pollack , Daniel Badali , Jonathan Pollack

Learning object-centric representations from unsupervised videos is challenging. Unlike most previous approaches that focus on decomposing 2D images, we present a 3D generative model named DynaVol-S for dynamic scenes that enables…

Computer Vision and Pattern Recognition · Computer Science 2025-02-17 Yanpeng Zhao , Yiwei Hao , Siyu Gao , Yunbo Wang , Xiaokang Yang

Volumetric video, the capture and display of three-dimensional (3D) imagery, has emerged as a revolutionary technology poised to transform the media landscape, enabling immersive experiences that transcend the limitations of traditional 2D…

Graphics · Computer Science 2025-01-13 Preetish Kakkar , Hariharan Ragothaman

Recent work has demonstrated that volumetric scene representations combined with differentiable volume rendering can enable photo-realistic rendering for challenging scenes that mesh reconstruction fails on. However, these methods entangle…

Computer Vision and Pattern Recognition · Computer Science 2021-03-02 Fanbo Xiang , Zexiang Xu , Miloš Hašan , Yannick Hold-Geoffroy , Kalyan Sunkavalli , Hao Su

Hypersurfaces of arbitrary causal character embedded in a spacetime are studied with the aim of extracting necessary and sufficient free data on the submanifold suitable for reconstructing the spacetime metric and its first derivative along…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Marc Mars