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This paper presents a new mesh segmentation method that integrates geometrical and topological features through a flexible Reeb graph representation. The algorithm consists of three phases: construction of the Reeb graph using the improved…

Graphics · Computer Science 2025-01-22 Florian Beguet , Sandrine Lanquetin , Romain Raffin

Mesh repair is a long-standing challenge in computer graphics and related fields. Converting defective meshes into watertight manifold meshes can greatly benefit downstream applications such as geometric processing, simulation, fabrication,…

Graphics · Computer Science 2023-09-04 Zhongtian Zheng , Xifeng Gao , Zherong Pan , Wei Li , Peng-Shuai Wang , Guoping Wang , Kui Wu

Robust 3D mesh watermarking is a traditional research topic in computer graphics, which provides an efficient solution to the copyright protection for 3D meshes. Traditionally, researchers need manually design watermarking algorithms to…

Graphics · Computer Science 2021-09-16 Feng Wang , Hang Zhou , Han Fang , Xiaojuan Dong , Weiming Zhang , Xi Yang , Nenghai Yu

Generative models that produce point clouds have emerged as a powerful tool to represent 3D surfaces, and the best current ones rely on learning an ensemble of parametric representations. Unfortunately, they offer no control over the…

Computer Vision and Pattern Recognition · Computer Science 2019-11-27 Jan Bednarik , Shaifali Parashar , Erhan Gundogdu , Mathieu Salzmann , Pascal Fua

An exact algorithm is presented for solving edge weighted graph partitioning problems. The algorithm is based on a branch and bound method applied to a continuous quadratic programming formulation of the problem. Lower bounds are obtained…

Optimization and Control · Mathematics 2009-12-10 William Hager , Dzung Phan , Hongchao Zhang

Human faces are one interesting object class with numerous applications. While significant progress has been made in the generic deblurring problem, existing methods are less effective for blurry face images. The success of the…

Computer Vision and Pattern Recognition · Computer Science 2018-05-16 Jinshan Pan , Wenqi Ren , Zhe Hu , Ming-Hsuan Yang

In this letter, a new approach to perform edge detection is presented using an all-dielectric CMOS-compatible metasurface. The design is based on guided-mode resonance which provides a high quality factor resonance to make the edge…

Reducing the triangle count in complex 3D models is a basic geometry preprocessing step in graphics pipelines such as efficient rendering and interactive editing. However, most existing mesh simplification methods exhibit a few issues.…

Graphics · Computer Science 2025-09-09 Seonghun Oh , Xiaodi Yuan , Xinyue Wei , Ruoxi Shi , Fanbo Xiang , Minghua Liu , Hao Su

The world around us is full of soft objects we perceive and deform with dexterous hand movements. For a robotic hand to control soft objects, it has to acquire online state feedback of the deforming object. While RGB-D cameras can collect…

Computer Vision and Pattern Recognition · Computer Science 2024-03-28 Elham Amin Mansour , Hehui Zheng , Robert K. Katzschmann

We introduce a smoothing algorithm for triangle, quadrilateral, tetrahedral and hexahedral meshes whose centerpiece is a simple geometric triangle transformation. The first part focuses on the mathematical properties of the element…

Numerical Analysis · Mathematics 2017-08-29 Dimitris Vartziotis , Doris Bohnet

We introduce Neural Deformation Graphs for globally-consistent deformation tracking and 3D reconstruction of non-rigid objects. Specifically, we implicitly model a deformation graph via a deep neural network. This neural deformation graph…

Computer Vision and Pattern Recognition · Computer Science 2020-12-04 Aljaž Božič , Pablo Palafox , Michael Zollhöfer , Justus Thies , Angela Dai , Matthias Nießner

A triangulation of a surface is irreducible if there is no edge whose contraction produces another triangulation of the surface. In this work we propose an algorithm that constructs the set of irreducible triangulations of any surface with…

This paper proposes a method for computing the visible occluding contours of subdivision surfaces. The paper first introduces new theory for contour visibility of smooth surfaces. Necessary and sufficient conditions are introduced for when…

Graphics · Computer Science 2022-06-09 Chenxi Liu , Pierre Bénard , Aaron Hertzmann , Shayan Hoshyari

We present a new method for performing Boolean operations on volumes represented as triangle meshes. In contrast to existing methods which treat meshes as 3D polyhedra and try to partition the faces at their exact intersection curves, we…

Graphics · Computer Science 2016-05-09 Ryan Schmidt , Tyson Brochu

The free-form deformation model can represent a wide range of non-rigid deformations by manipulating a control point lattice over the image. However, due to a large number of parameters, it is challenging to fit the free-form deformation…

Computer Vision and Pattern Recognition · Computer Science 2022-06-10 Takumi Nakane , Haoran Xie , Chao Zhang

This work presents a novel framework for spherical mesh parameterization. An efficient angle-preserving spherical parameterization algorithm is introduced, which is based on dynamic Yamabe flow and the conformal welding method with solid…

Graphics · Computer Science 2018-10-23 Saad Nadeem , Zhengyu Su , Wei Zeng , Arie Kaufman , Xianfeng Gu

Simplifying complex 3D meshes is a crucial step in robotics applications to enable efficient motion planning and physics simulation. Common methods, such as approximate convex decomposition, represent a mesh as a collection of simple parts,…

Robotics · Computer Science 2025-09-30 Brandon Vu , Shameek Ganguly , Pushkar Joshi

We investigate discrete spin transformations, a geometric framework to manipulate surface meshes by controlling mean curvature. Applications include surface fairing -- flowing a mesh onto say, a reference sphere -- and mesh extrusion --…

Computational Geometry · Computer Science 2019-06-11 Loic Le Folgoc , Daniel C. Castro , Jeremy Tan , Bishesh Khanal , Konstantinos Kamnitsas , Ian Walker , Amir Alansary , Ben Glocker

Recent developments for mathematical modeling and numerical simulation of biomolecular systems raise new demands for qualified, stable, and efficient surface meshing, especially in implicit-solvent modeling. In our former work, we have…

Numerical Analysis · Mathematics 2016-11-11 Tiantian Liu , Minxin Chen , Benzhuo Lu

Accurate modeling of moving boundaries and interfaces is a difficulty present in many situations of computational mechanics. We use the eXtreme Mesh deformation approach (X-Mesh) to simulate the interaction between two immiscible flows…

Computational Engineering, Finance, and Science · Computer Science 2024-02-02 Antoine Quiriny , Jonathan Lambrechts , Nicolas Moës , Jean-François Remacle