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Patchworking is a construction of a one-parameter family of real algebraic hypersurfaces. For sufficiently small positive values of the parameter, the hypersurfaces can be obtained by gluing of given hypersurfaces topologically. The author…

Algebraic Geometry · Mathematics 2007-05-23 Oleg Viro

We study 3D shape modeling from a single image and make contributions to it in three aspects. First, we present Pix3D, a large-scale benchmark of diverse image-shape pairs with pixel-level 2D-3D alignment. Pix3D has wide applications in…

Computer Vision and Pattern Recognition · Computer Science 2018-04-13 Xingyuan Sun , Jiajun Wu , Xiuming Zhang , Zhoutong Zhang , Chengkai Zhang , Tianfan Xue , Joshua B. Tenenbaum , William T. Freeman

Modern product design in the engineering domain is increasingly driven by computational analysis including finite-element based simulation, computational optimization, and modern data analysis techniques such as machine learning. To apply…

Computer Vision and Pattern Recognition · Computer Science 2020-03-20 Skylar Sible , Rodrigo Iza-Teran , Jochen Garcke , Nikola Aulig , Patricia Wollstadt

Compact representations of objects is a common concept in computer science. Automated planning can be viewed as a case of this concept: a planning instance is a compact implicit representation of a graph and the problem is to find a path (a…

Artificial Intelligence · Computer Science 2014-01-24 Christer Bäckström , Peter Jonsson

Shape priors learned from data are commonly used to reconstruct 3D objects from partial or noisy data. Yet no such shape priors are available for indoor scenes, since typical 3D autoencoders cannot handle their scale, complexity, or…

Computer Vision and Pattern Recognition · Computer Science 2020-03-23 Chiyu Max Jiang , Avneesh Sud , Ameesh Makadia , Jingwei Huang , Matthias Nießner , Thomas Funkhouser

3D shape matching is a long-standing problem in computer vision and computer graphics. While deep neural networks were shown to lead to state-of-the-art results in shape matching, existing learning-based approaches are limited in the…

Computer Vision and Pattern Recognition · Computer Science 2022-07-21 Dongliang Cao , Florian Bernard

Although 3D shape matching and interpolation are highly interrelated, they are often studied separately and applied sequentially to relate different 3D shapes, thus resulting in sub-optimal performance. In this work we present a unified…

Computer Vision and Pattern Recognition · Computer Science 2024-03-28 Dongliang Cao , Marvin Eisenberger , Nafie El Amrani , Daniel Cremers , Florian Bernard

Meshes are ubiquitous in visual computing and simulation, yet most existing machine learning techniques represent meshes only indirectly, e.g. as the level set of a scalar field or deformation of a template, or as a disordered triangle soup…

Computer Vision and Pattern Recognition · Computer Science 2025-02-12 Tianchang Shen , Zhaoshuo Li , Marc Law , Matan Atzmon , Sanja Fidler , James Lucas , Jun Gao , Nicholas Sharp

Shadow art is a captivating form of sculptural expression where the projection of a sculpture in a specific direction reveals a desired shape with high precision. In this work, we introduce Neural Shadow Art, which leverages implicit…

Computer Vision and Pattern Recognition · Computer Science 2025-08-26 Caoliwen Wang , Bailin Deng , Juyong Zhang

3D scatterplots are a well-established plotting technique that can be used to represent data with three or more dimensions. On paper and computer monitors they are essentially two-dimensional projections of the three-dimensional Cartesian…

Human-Computer Interaction · Computer Science 2026-01-05 Philippos Papaphilippou , Lucy Hederman

Many man-made objects are characterised by a shape that is symmetric along one or more planar directions. Estimating the location and orientation of such symmetry planes can aid many tasks such as estimating the overall orientation of an…

Computer Vision and Pattern Recognition · Computer Science 2021-07-01 Mihaela Cătălina Stoian , Tommaso Cavallari

Based on the characterization of the polyconvex envelope of isotropic functions by their signed singular value representations, we propose a simple algorithm for the numerical approximation of the polyconvex envelope. Instead of operating…

Numerical Analysis · Mathematics 2023-07-31 Timo Neumeier , Malte A. Peter , Daniel Peterseim , David Wiedemann

Deep convolutional neural networks are powerful tools for learning visual representations from images. However, designing efficient deep architectures to analyse volumetric medical images remains challenging. This work investigates…

Computer Vision and Pattern Recognition · Computer Science 2017-07-10 Wenqi Li , Guotai Wang , Lucas Fidon , Sebastien Ourselin , M. Jorge Cardoso , Tom Vercauteren

There is no settled universal 3D representation for geometry with many alternatives such as point clouds, meshes, implicit functions, and voxels to name a few. In this work, we present a new, compelling alternative for representing shapes…

Graphics · Computer Science 2024-05-31 Nam Anh Dinh , Haochen Wang , Greg Shakhnarovich , Rana Hanocka

With the rapid development of high-resolution 3D vision applications, the traditional way of manipulating surface detail requires considerable memory and computing time. To address these problems, we introduce an efficient surface detail…

Computer Vision and Pattern Recognition · Computer Science 2023-07-18 Wuyuan Xie , Miaohui Wang , Di Lin , Boxin Shi , Jianmin Jiang

Point cloud completion, which aims at recovering original shape information from partial point clouds, has attracted attention on 3D vision community. Existing methods usually succeed in completion for standard shape, while failing to…

Computer Vision and Pattern Recognition · Computer Science 2022-09-07 Junshu Tang , Jiachen Xu , Jingyu Gong , Haichuan Song , Yuan Xie , Lizhuang Ma

We propose a novel and efficient representation for single-view depth estimation using Convolutional Neural Networks (CNNs). Point-cloud is generally used for CNN-based 3D scene reconstruction; however it has some drawbacks: (1) it is…

Computer Vision and Pattern Recognition · Computer Science 2020-03-12 Masaya Kaneko , Ken Sakurada , Kiyoharu Aizawa

We present a new method for generating realistic and view-consistent images with fine geometry from 2D image collections. Our method proposes a hybrid explicit-implicit representation called \textbf{OrthoPlanes}, which encodes fine-grained…

Computer Vision and Pattern Recognition · Computer Science 2023-09-28 Honglin He , Zhuoqian Yang , Shikai Li , Bo Dai , Wayne Wu

Generative models for 2D images has recently seen tremendous progress in quality, resolution and speed as a result of the efficiency of 2D convolutional architectures. However it is difficult to extend this progress into the 3D domain since…

Computer Vision and Pattern Recognition · Computer Science 2022-10-07 Hassan Abu Alhaija , Alara Dirik , André Knörig , Sanja Fidler , Maria Shugrina

Impressive progress in 3D shape extraction led to representations that can capture object geometries with high fidelity. In parallel, primitive-based methods seek to represent objects as semantically consistent part arrangements. However,…

Computer Vision and Pattern Recognition · Computer Science 2021-03-19 Despoina Paschalidou , Angelos Katharopoulos , Andreas Geiger , Sanja Fidler