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We revisit classical Virtual Element approximations on polygonal and polyhedral decompositions. We also recall the treatment proposed for dealing with decompositions into polygons with curved edges. In the second part of the paper we…

Numerical Analysis · Mathematics 2023-05-15 Franco Brezzi , L. Donatella Marini

Resolution enhancements are often desired in imaging applications where high-resolution sensor arrays are difficult to obtain. Many computational imaging methods have been proposed to encode high-resolution scene information on…

Image and Video Processing · Electrical Eng. & Systems 2018-10-29 Kevin Beale , Jianbo Chen , Kevin F. Kelly , Justin Romberg

During the last years, many advances have been made in tasks like3D model retrieval, 3D model classification, and 3D model segmentation.The typical 3D representations such as point clouds, voxels, and poly-gon meshes are mostly suitable for…

Computer Vision and Pattern Recognition · Computer Science 2021-03-08 Arniel Labrada , Benjamin Bustos , Ivan Sipiran

In this paper, we study the computation of curvatures at the singular points of algebraic curves and surfaces. The idea is to convert the problem to compute the curvatures of the corresponding regular parametric curves and surfaces, which…

Differential Geometry · Mathematics 2014-05-20 Chong-Jun Li , Ren-Hong Wang

We propose a new method for the visual quality assessment of 360-degree (omnidirectional) videos. The proposed method is based on computing multiple spatio-temporal objective quality features on viewports extracted from 360-degree videos. A…

Multimedia · Computer Science 2021-05-04 Roberto G. de A. Azevedo , Neil Birkbeck , Ivan Janatra , Balu Adsumilli , Pascal Frossard

The present work deals with the formulation of a Virtual Element Method (VEM) for two dimensional structural problems. The contribution is split in two parts: in part I, the elastic problem is discussed, while in part II [3] the method is…

Numerical Analysis · Mathematics 2018-10-24 Edoardo Artioli , Lourenco Beirao da Veiga , Carlo Lovadina , Elio Sacco

Recently, image super-resolution has been widely studied and achieved significant progress by leveraging the power of deep convolutional neural networks. However, there has been limited advancement in video super-resolution (VSR) due to the…

Computer Vision and Pattern Recognition · Computer Science 2019-05-08 Chao Li , Dongliang He , Xiao Liu , Yukang Ding , Shilei Wen

In this work, we introduce VQA 360, a novel task of visual question answering on 360 images. Unlike a normal field-of-view image, a 360 image captures the entire visual content around the optical center of a camera, demanding more…

Computer Vision and Pattern Recognition · Computer Science 2020-01-13 Shih-Han Chou , Wei-Lun Chao , Wei-Sheng Lai , Min Sun , Ming-Hsuan Yang

LiDAR is an important method for autonomous driving systems to sense the environment. The point clouds obtained by LiDAR typically exhibit sparse and irregular distribution, thus posing great challenges to the detection of 3D objects,…

Computer Vision and Pattern Recognition · Computer Science 2020-10-28 Tai Wang , Xinge Zhu , Dahua Lin

A major element of depth perception and 3D understanding is the ability to predict the 3D layout of a scene and its contained objects for a novel pose. Indoor environments are particularly suitable for novel view prediction, since the set…

Computer Vision and Pattern Recognition · Computer Science 2018-08-13 Pulak Purkait , Ujwal Bonde , Christopher Zach

Learning-based 3D reconstruction methods have shown impressive results. However, most methods require 3D supervision which is often hard to obtain for real-world datasets. Recently, several works have proposed differentiable rendering…

Computer Vision and Pattern Recognition · Computer Science 2020-03-24 Michael Niemeyer , Lars Mescheder , Michael Oechsle , Andreas Geiger

Existing 3D Gaussian Splatting (3DGS) super-resolution methods typically perform high-resolution (HR) rendering of fixed scale factors, making them impractical for resource-limited scenarios. Directly rendering arbitrary-scale HR views with…

Computer Vision and Pattern Recognition · Computer Science 2025-11-20 Huimin Zeng , Yue Bai , Yun Fu

We provide a solution method for the polyhedral convex set optimization problem, that is, the problem to minimize a set-valued mapping with polyhedral convex graph with respect to a set ordering relation which is generated by a polyhedral…

Optimization and Control · Mathematics 2024-09-27 Andreas Löhne

Medical images are often acquired in different settings, requiring harmonization to adapt to the operating point of algorithms. Specifically, to standardize the physical spacing of imaging voxels in heterogeneous inference settings, images…

Image and Video Processing · Electrical Eng. & Systems 2024-07-08 Samuel Joutard , Maximilian Pietsch , Raphael Prevost

Recently introduced implicit field representations offer an effective way of generating 3D object shapes. They leverage implicit decoder trained to take a 3D point coordinate concatenated with a shape encoding and to output a value which…

Computer Vision and Pattern Recognition · Computer Science 2021-10-13 Magdalena Proszewska , Marcin Mazur , Tomasz Trzciński , Przemysław Spurek

We propose an efficient radiance field rendering algorithm that incorporates a rasterization process on adaptive sparse voxels without neural networks or 3D Gaussians. There are two key contributions coupled with the proposed system. The…

Computer Vision and Pattern Recognition · Computer Science 2025-03-18 Cheng Sun , Jaesung Choe , Charles Loop , Wei-Chiu Ma , Yu-Chiang Frank Wang

An approach to visualize the accessible reciprocal space accounting the goniometer angles limitation and the resolution element in the reciprocal space is presented. The shapes of the accessible reciprocal space region for coplanar and…

Materials Science · Physics 2018-10-01 T. Ulyanenkova , A. Zhylik , A. Benediktovitch , A. Ulyanenkov

We develop an algorithm capable of imaging a three-dimensional object given a collection of two-dimensional images of that object that are significantly influenced by the curvature of the Ewald sphere. These two-dimensional images cannot be…

Instrumentation and Detectors · Physics 2021-03-02 J. P. J. Chen , K. E. Schmidt , J. C. H. Spence , R. A. Kirian

Delineating the associations between images and a vector of covariates is of central interest in medical imaging studies. To tackle this problem of image response regression, we propose a novel nonparametric approach in the framework of…

Machine Learning · Statistics 2022-03-04 Daiwei Zhang , Lexin Li , Chandra Sripada , Jian Kang

We propose VIAFormer, a Voxel-Image Alignment Transformer model designed for Multi-view Conditioned Voxel Refinement--the task of repairing incomplete noisy voxels using calibrated multi-view images as guidance. Its effectiveness stems from…

Computer Vision and Pattern Recognition · Computer Science 2026-01-22 Tiancheng Fang , Bowen Pan , Lingxi Chen , Jiangjing Lyu , Chengfei Lyu , Chaoyue Niu , Fan Wu