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We propose a new approach for controlling the characteristics of certain mesh faces during optimization of high-order curved meshes. The practical goals are tangential relaxation along initially aligned curved boundaries and internal…

Numerical Analysis · Mathematics 2021-05-27 Patrick Knupp , Tzanio Kolev , Ketan Mittal , Vladimir Z. Tomov

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 study the problem of moving a vertex in an unstructured mesh of triangular, quadrilateral, or tetrahedral elements to optimize the shapes of adjacent elements. We show that many such problems can be solved in linear time using…

Computational Geometry · Computer Science 2010-01-21 Nina Amenta , Marshall Bern , David Eppstein

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

Skinning is a popular way to rig and deform characters for animation, to compute reduced-order simulations, and to define features for geometry processing. Methods built on skinning rely on weight functions that distribute the influence of…

Graphics · Computer Science 2025-02-07 Ana Dodik , Vincent Sitzmann , Justin Solomon , Oded Stein

For explicit interface tracking in three dimensions, we propose a linear MARS method that (a) represents the interface by a partially ordered set of glued surfaces and approximates each glued surface with a triangular mesh, (b) maintains an…

Numerical Analysis · Mathematics 2025-12-12 Yunhao Qiu , Qinghai Zhang

Triangular meshes are a widely used representation in the field of 3D modeling. In this paper, we present a novel approach for edge length-based linear subdivision on triangular meshes, along with two auxiliary techniques. We conduct a…

Graphics · Computer Science 2023-10-04 Junyi Shen

This paper proposes improvements to the physically-based surface triangulation method, bubble meshing. The method simulates physical bubbles to automatically generate mesh vertices, resulting in high-quality Delaunay triangles. Despite its…

Computational Geometry · Computer Science 2025-08-08 Lei Shangyu , Fan Wei , Ren Hui

Spatial drawing using ruled-surface brush strokes is a popular mode of content creation in immersive VR, yet little is known about the usability of existing spatial drawing interfaces or potential improvements. We address these questions in…

Human-Computer Interaction · Computer Science 2021-09-10 Enrique Rosales , Jafet Rodriguez , Chrystiano Araújo , Nicholas Vining , Dongwook Yoon , Alla Sheffer

In recent work we have shown how an accurate reduced model can be utilized to perform mesh refinement in random space. That work relied on the explicit knowledge of an accurate reduced model which is used to monitor the transfer of activity…

Numerical Analysis · Mathematics 2016-09-21 Jing Li , Panos Stinis

We propose a new framework to discuss the transition from exponential relaxation in a liquid to the regime of slow dynamics. For the purposes of stress relaxation, we show that a liquid can be treated as an elastic medium. We discuss that,…

Disordered Systems and Neural Networks · Physics 2009-11-11 K Trachenko

Pattern analysis is a wide domain that has wide applicability in many fields. In fact, texture analysis is one of those fields, since the texture is defined as a set of repetitive or quasi-repetitive patterns. Despite its importance in…

Computer Vision and Pattern Recognition · Computer Science 2019-06-19 Alice Othmani , Fakhri Torkhani , Jean-Marie Favreau

We propose a novel early-terminating mesh refinement strategy using an integrated residual method to solve dynamic feasibility problems. As a generalization of direct collocation, the integrated residual method is used to approximate an…

Optimization and Control · Mathematics 2024-03-13 Eduardo M. G. Vila , Eric C. Kerrigan , Paul Bruce

State-of-the-art rigging methods typically assume a predefined canonical rest pose. However, this assumption does not hold for dynamic mesh sequences such as DyMesh or DT4D, where no canonical T-pose is available. When applied independently…

Computer Vision and Pattern Recognition · Computer Science 2026-03-16 Ruipeng Wang , Langkun Zhong , Miaowei Wang

We introduce an algorithm to remesh triangle meshes representing developable surfaces to planar quad dominant meshes. The output of our algorithm consists of planar quadrilateral (PQ) strips that are aligned to principal curvature…

Graphics · Computer Science 2021-06-28 Floor Verhoeven , Amir Vaxman , Tim Hoffmann , Olga Sorkine-Hornung

We propose an analysis-by-synthesis method for fast multi-view 3D reconstruction of opaque objects with arbitrary materials and illumination. State-of-the-art methods use both neural surface representations and neural rendering. While…

Computer Vision and Pattern Recognition · Computer Science 2022-12-09 Markus Worchel , Rodrigo Diaz , Weiwen Hu , Oliver Schreer , Ingo Feldmann , Peter Eisert

Skin dynamics contributes to the enriched realism of human body models in rendered scenes. Traditional methods rely on physics-based simulations to accurately reproduce the dynamic behavior of soft tissues. Due to the model complexity and…

Graphics · Computer Science 2022-01-20 Hyewon Seo , Kaifeng Zou , Frederic Cordier

Three-dimensional (3-D) meshes are commonly used to represent virtual surfaces and volumes. Over the past decade, 3-D meshes have emerged in industrial, medical, and entertainment applications, being of large practical significance for 3-D…

Cryptography and Security · Computer Science 2021-04-22 Hang Zhou , Weiming Zhang , Kejiang Chen , Weixiang Li , Nenghai Yu

In this paper we propose a new approach to incrementally initialize a manifold surface for automatic 3D reconstruction from images. More precisely we focus on the automatic initialization of a 3D mesh as close as possible to the final…

Computer Vision and Pattern Recognition · Computer Science 2016-04-22 Andrea Romanoni , Amaël Delaunoy , Marc Pollefeys , Matteo Matteucci

We present semisimp, a tool for semiautomatic simplification of three dimensional polygonal models. Existing automatic simplification technology is quite mature, but is not sensitive to the heightened importance of distinct semantic model…

Graphics · Computer Science 2025-07-03 Gong Li , Benjamin Watson
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