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We describe a method for discretizing planar C2-regular domains immersed in non-conforming triangulations. The method consists in constructing mappings from triangles in a background mesh to curvilinear ones that conform exactly to the…

Numerical Analysis · Mathematics 2012-01-25 Ramsharan Rangarajan , Adrian J. Lew

In this work, we present a general, efficient, and provably robust representation for intrinsic triangulations. These triangulations have emerged as a powerful tool for robust geometry processing of surface meshes, taking a low-quality mesh…

Graphics · Computer Science 2021-06-02 Mark Gillespie , Nicholas Sharp , Keenan Crane

Surfaces are typically represented as meshes, which can be extracted from volumetric fields via meshing or optimized directly as surface parameterizations. Volumetric representations occupy 3D space and have a large effective receptive…

Graphics · Computer Science 2026-02-03 Ruiqi Zhang , Jiacheng Wu , Jie Chen

Geometric priors are often used to enhance 3D reconstruction. With many smartphones featuring low-resolution depth sensors and the prevalence of off-the-shelf monocular geometry estimators, incorporating geometric priors as regularization…

Computer Vision and Pattern Recognition · Computer Science 2024-12-17 Xuqian Ren , Matias Turkulainen , Jiepeng Wang , Otto Seiskari , Iaroslav Melekhov , Juho Kannala , Esa Rahtu

This paper presents an adaptive and intelligent sparse model for digital image sampling and recovery. In the proposed sampler, we adaptively determine the number of required samples for retrieving image based on space-frequency-gradient…

Computer Vision and Pattern Recognition · Computer Science 2017-11-27 Ali Taimori , Farokh Marvasti

In this paper, we propose a new variational framework for 3D surface denoising over triangulated meshes, which is inspired by the success of semi-sparse regularization in image processing. Differing from the uniformly sampled image data,…

Computational Geometry · Computer Science 2025-10-16 Junqing Huang , Haihui Wang , Michael Ruzhansky

In this paper, we present a surface remeshing method with high approximation quality based on Principal Component Analysis. Given a triangular mesh and a user assigned polygon/vertex budget, traditional methods usually require the extra…

Graphics · Computer Science 2018-04-10 Yiqi Cai , Xiaohu Guo , Yang Liu , Wenping Wang , Weihua Mao , Zichun Zhong

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

Triangle meshes remain the most popular data representation for surface geometry. This ubiquitous representation is essentially a hybrid one that decouples continuous vertex locations from the discrete topological triangulation.…

Computer Vision and Pattern Recognition · Computer Science 2021-09-23 Marie-Julie Rakotosaona , Noam Aigerman , Niloy Mitra , Maks Ovsjanikov , Paul Guerrero

We introduce a novel approach to learn geometries such as depth and surface normal from images while incorporating geometric context. The difficulty of reliably capturing geometric context in existing methods impedes their ability to…

Computer Vision and Pattern Recognition · Computer Science 2024-04-02 Xiaoxiao Long , Yuhang Zheng , Yupeng Zheng , Beiwen Tian , Cheng Lin , Lingjie Liu , Hao Zhao , Guyue Zhou , Wenping Wang

During a surface acquisition process using 3D scanners, noise is inevitable and an important step in geometry processing is to remove these noise components from these surfaces (given as points-set or triangulated mesh). The noise-removal…

Graphics · Computer Science 2022-05-16 Sunil Kumar Yadav , Martin Skrodzki , Eric Zimmermann , Konrad Polthier

The I-patch is a multi-sided surface representation, defined as a combination of implicit ribbon and bounding surfaces, whose pairwise intersections determine the natural boundaries of the patch. Our goal is to show how a collection of…

Computational Geometry · Computer Science 2022-04-26 Ágoston Sipos , Tamás Várady , Péter Salvi

We present a suite of techniques for jointly optimizing triangle meshes and shading models to match the appearance of reference scenes. This capability has a number of uses, including appearance-preserving simplification of extremely…

Graphics · Computer Science 2021-04-12 Jon Hasselgren , Jacob Munkberg , Jaakko Lehtinen , Miika Aittala , Samuli Laine

This work introduces a novel method for surface normal estimation from rectified stereo image pairs, leveraging affine transformations derived from disparity values to achieve fast and accurate results. We demonstrate how the rectification…

Computer Vision and Pattern Recognition · Computer Science 2025-04-22 Csongor Csanad Kariko , Muhammad Rafi Faisal , Levente Hajder

Image segmentation is an inherently ill-posed problem and thus requires regularization in order to limit the search space to reasonable solutions. A majority of segmentation methods integrates these regularization terms in one way or the…

Numerical Analysis · Mathematics 2018-10-31 Uri Nahum , Philippe C. Cattin

This paper solves the problem of computing conformal structures of general 2-manifolds represented as triangle meshes. We compute conformal structures in the following way: first compute homology bases from simplicial complex structures,…

Graphics · Computer Science 2007-05-23 Xianfeng Gu , Shing-Tung Yau

In computer graphics and vision, recovering easily modifiable scene appearance from image data is crucial for applications such as content creation. We introduce a novel method that integrates 3D Gaussian Splatting with an implicit surface…

Computer Vision and Pattern Recognition · Computer Science 2025-02-11 Jakub Szymkowiak , Weronika Jakubowska , Dawid Malarz , Weronika Smolak-Dyżewska , Maciej Zięba , Przemyslaw Musialski , Wojtek Pałubicki , Przemysław Spurek

We propose Differentiable Stereopsis, a multi-view stereo approach that reconstructs shape and texture from few input views and noisy cameras. We pair traditional stereopsis and modern differentiable rendering to build an end-to-end model…

Computer Vision and Pattern Recognition · Computer Science 2022-09-27 Shubham Goel , Georgia Gkioxari , Jitendra Malik

3D printing of surfaces has become an established method for prototyping and visualisation. However, surfaces often contain certain degenerations, such as self-intersecting faces or non-manifold parts, which pose problems in obtaining a 3D…

Computational Geometry · Computer Science 2024-05-28 Christian Amend , Tom Goertzen

We propose a hybrid image-space/object-space solution to the classical hidden surface removal problem: Given n disjoint triangles in Real^3 and p sample points (``pixels'') in the xy-plane, determine the first triangle directly behind each…

Computational Geometry · Computer Science 2007-05-23 Jeff Erickson