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Wide field-of-view (FOV) cameras, which capture a larger scene area than narrow FOV cameras, are used in many applications including 3D reconstruction, autonomous driving, and video surveillance. However, wide-angle images contain…

Computer Vision and Pattern Recognition · Computer Science 2021-12-02 Jinlong Fan , Jing Zhang , Stephen J. Maybank , Dacheng Tao

We introduce a new formalism and a number of new results in the context of geometric computational vision. The classical scope of the research in geometric computer vision is essentially limited to static configurations of points and lines…

Algebraic Geometry · Mathematics 2007-07-13 Michael Fryers , Jeremy Yirmeyahu Kaminski , Mina Teicher

We discuss the possibility of introducing a multi-resolution in a Hilbert space which is not necessarily a space of functions. We investigate which of the classical properties can be translated to this more general framework and the way in…

funct-an · Mathematics 2008-02-03 Fabio Bagarello

Many lighting methods used in computer graphics such as indirect illumination can have very high computational costs and need to be approximated for real-time applications. These costs can be reduced by means of upsampling techniques which…

Graphics · Computer Science 2019-06-12 Simon Besenthal , Sebastian Maisch , Timo Ropinski

Of concern is the study of the space of curves in homogeneous spaces. Motivated by applications in shape analysis we identify two curves if they only differ by their parametrization and/or a rigid motion. For curves in Euclidean space the…

Differential Geometry · Mathematics 2017-12-14 Zhe Su , Eric Klassen , Martin Bauer

Here is suggested a solution to the accommodation-vergence mismatch problem in 3D stereoscopic displays. It can be achieved by compensating the mismatched focal length with refractive power of adjustable-focus 3D glasses. The compensation…

Optics · Physics 2012-09-19 Dal-Young Kim

3D object detection and dense depth estimation are one of the most vital tasks in autonomous driving. Multiple sensor modalities can jointly attribute towards better robot perception, and to that end, we introduce a method for jointly…

Computer Vision and Pattern Recognition · Computer Science 2021-09-16 Shubham Shrivastava

In a series of ten two-dimensional graphical vector addition questions with varying visual representations, most students stuck to a single solution method, be it correct or incorrect. Changes to the visual representation include placing…

Physics Education · Physics 2010-08-30 Jeffrey M. Hawkins , John R. Thompson , Michael Wittmann

Object pose estimation is an integral part of robot vision and AR. Previous 6D pose retrieval pipelines treat the problem either as a regression task or discretize the pose space to classify. We change this paradigm and reformulate the…

Computer Vision and Pattern Recognition · Computer Science 2020-12-02 Benjamin Busam , Hyun Jun Jung , Nassir Navab

In recent years there has been a resurgence of interest in our community in the shape analysis of 3D objects represented by surface meshes, their voxelized interiors, or surface point clouds. In part, this interest has been stimulated by…

Computer Vision and Pattern Recognition · Computer Science 2021-12-01 Morteza Rezanejad , Mohammad Khodadad , Hamidreza Mahyar , Herve Lombaert , Michael Gruninger , Dirk B. Walther , Kaleem Siddiqi

Voxel-based 3D object classification has been thoroughly studied in recent years. Most previous methods convert the classic 2D convolution into a 3D form that will be further applied to objects with binary voxel representation for…

Computer Vision and Pattern Recognition · Computer Science 2023-05-01 Ji Luo , Hui Cao , Jie Wang , Siyu Zhang , Shen Cai

For many applications, we need to use techniques to represent convex shapes and objects. In this work, we use level set method to represent shapes and find a necessary and sufficient condition on the level set function to guarantee the…

Numerical Analysis · Mathematics 2018-11-13 Shousheng Luo , Xue-cheng Tai

Real-world vision-language applications demand varying levels of perceptual granularity. However, most existing visual large language models (VLLMs), such as LLaVA, pre-assume a fixed resolution for downstream tasks, which leads to subpar…

Computer Vision and Pattern Recognition · Computer Science 2025-10-14 Weiqing Luo , Zhen Tan , Yifan Li , Xinyu Zhao , Kwonjoon Lee , Behzad Dariush , Tianlong Chen

We show convexity of solutions to a class of convex variational problems in the Gauss and in the Wiener space. An important tool in the proof is a representation formula for integral functionals in this infinite dimensional setting, that…

Analysis of PDEs · Mathematics 2012-05-29 Antonin Chambolle , Michael Goldman , Matteo Novaga

We study evolutes and involutes of space curves. Although much of the material presented is not new and can be found in classic treatises, we believe that a modern and unified treatment, complemented with several novel observations, may be…

Differential Geometry · Mathematics 2024-04-05 Dmitry Fuchs , Ivan Izmestiev , Matteo Raffaelli , Gudrun Szewieczek , Serge Tabachnikov

Voxel coloring is a popular method of reconstructing a three-dimensional surface model from a set of calibrated 2D images. However, the reconstruction quality is largely dependent on a thresholding procedure allowing the authors to decide,…

Computer Vision and Pattern Recognition · Computer Science 2018-09-18 Mohamed Chafik Bakkay , Walid Barhoumi , Ezzeddine Zagrouba

The advent of high resolution imaging has made data on surface shape widespread. Methods for the analysis of shape based on landmarks are well established but high resolution data require a functional approach. The starting point is a…

Computer Vision and Pattern Recognition · Computer Science 2020-03-20 Stanislav Katina , Liberty Vittert , Adrian W. Bowman

The idea of video super resolution is to use different view points of a single scene to enhance the overall resolution and quality. Classical energy minimization approaches first establish a correspondence of the current frame to all its…

Computer Vision and Pattern Recognition · Computer Science 2017-12-05 Jonas Geiping , Hendrik Dirks , Daniel Cremers , Michael Moeller

A virtual element method (VEM) with the first order optimal convergence order is developed for solving two-dimensional Maxwell interface problems on a special class of polygonal meshes that are cut by the interface from a background…

Numerical Analysis · Mathematics 2022-02-17 Shuhao Cao , Long Chen , Ruchi Guo

NeRF-based methods reconstruct 3D scenes by building a radiance field with implicit or explicit representations. While NeRF-based methods can perform novel view synthesis (NVS) at arbitrary scale, the performance in high-resolution novel…

Computer Vision and Pattern Recognition · Computer Science 2025-12-18 Ding-Jiun Huang , Zi-Ting Chou , Yu-Chiang Frank Wang , Cheng Sun
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