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In shape optimisation it is desirable to obtain deformations of a given mesh without negative impact on the mesh quality. We propose a new algorithm using least square formulations of the Cauchy-Riemann equations. Our method allows to…

Optimization and Control · Mathematics 2021-06-09 José A. Iglesias , Kevin Sturm , Florian Wechsung

This paper describes an embedded boundary (EB) approach for simulating three-dimensional fluid flow on a staggered mesh where the velocity components are defined on cell faces and the thermodynamic state is defined on cell centers. Most EB…

Computational Engineering, Finance, and Science · Computer Science 2026-04-15 Soonpil Kang , Ann S. Almgren , Mahesh Natarajan , Aaron M. Lattanzi , Jeffrey D. Mirocha , Katie Lundquist , Jordan Musser , Weiqun Zhang

We present a new approach for modelling musculoskeletal anatomy. Unlike previous methods, we do not model individual muscle shapes as geometric primitives (polygonal meshes, NURBS etc.). Instead, we adopt a volumetric segmentation approach…

Graphics · Computer Science 2021-06-10 Rinat Abdrashitov , Seungbae Bang , David I. W. Levin , Karan Singh , Alec Jacobson

We introduce radiance meshes, a technique for representing radiance fields with constant density tetrahedral cells produced with a Delaunay tetrahedralization. Unlike a Voronoi diagram, a Delaunay tetrahedralization yields simple triangles…

The problem of polycube construction or deformation is an essential problem in computer graphics. In this paper, we present a robust, simple, efficient and automatic algorithm to deform the meshes of arbitrary shapes into their polycube…

Graphics · Computer Science 2018-07-24 Hui Zhao , Na Lei , Xuan Li , Peng Zeng , Ke Xu , Xianfeng Gu

In this work a novel method for the analysis with trimmed CAD surfaces is presented. The method involves an additional mapping step and the attraction stems from its sim- plicity and ease of implementation into existing Finite Element (FEM)…

Numerical Analysis · Computer Science 2015-01-28 Gernot Beer , Benjamin Marussig , Jürgen Zechner

Adaptive meshing includes local refinement as well as coarsening of meshes. Typically, coarsening algorithms are based on an explicit refinement history. In this work, we deal with local coarsening algorithms that build on the refinement…

Numerical Analysis · Mathematics 2020-11-06 Stefan A. Funken , Anja Schmidt

Point cloud reconstruction from raw point cloud has been an important topic in computer graphics for decades, especially due to its high demand in modeling and rendering applications. An important way to solve this problem is establishing a…

Computer Vision and Pattern Recognition · Computer Science 2025-03-17 Hui Tian , Kai Xu

The present research aims to provide a practical numerical tool for the mechanical analysis of nanoscale trusses with similar accuracy to molecular dynamics (MD). As a first step, MD simulations of uniaxial tensile and compression tests of…

Applied Physics · Physics 2023-11-29 Marko Čanađija , Valentina Košmerl , Martin Zlatić , Domagoj Vrtovšnik , Neven Munjas

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

Mesh generation is a crucial step in numerical simulations, significantly impacting simulation accuracy and efficiency. However, generating meshes remains time-consuming and requires expensive computational resources. In this paper, we…

Graphics · Computer Science 2024-07-03 Jiaming Peng , Xinhai Chen , Jie Liu

Biomembranes adopt varying morphologies that are vital to cellular functions. Many studies use computational modeling to understand how various mechanochemical factors contribute to membrane shape transformations. Compared to…

Computational Engineering, Finance, and Science · Computer Science 2022-02-23 Cuncheng Zhu , Christopher T. Lee , Padmini Rangamani

This paper proposes fast and novel methods to jointly estimate the target's unknown 3D shape and dynamics. Measurements are noisy and sparsely distributed 3D points from a light detection and ranging (LiDAR) sensor. The methods utilize…

Signal Processing · Electrical Eng. & Systems 2020-02-05 Benjamin Naujoks , Patrick Burger , Hans-Joachim Wuensche

We introduce TetWeave, a novel isosurface representation for gradient-based mesh optimization that jointly optimizes the placement of a tetrahedral grid used for Marching Tetrahedra and a novel directional signed distance at each point.…

Graphics · Computer Science 2025-05-09 Alexandre Binninger , Ruben Wiersma , Philipp Herholz , Olga Sorkine-Hornung

This paper presents TexRO, a novel method for generating delicate textures of a known 3D mesh by optimizing its UV texture. The key contributions are two-fold. We propose an optimal viewpoint selection strategy, that finds the most…

Computer Vision and Pattern Recognition · Computer Science 2024-05-13 Jinbo Wu , Xing Liu , Chenming Wu , Xiaobo Gao , Jialun Liu , Xinqi Liu , Chen Zhao , Haocheng Feng , Errui Ding , Jingdong Wang

This paper presents a novel on-line path planning method that enables aerial robots to interact with surfaces. We present a solution to the problem of finding trajectories that drive a robot towards a surface and move along it. Triangular…

Robotics · Computer Science 2021-02-23 Michael Pantic , Lionel Ott , Cesar Cadena , Roland Siegwart , Juan Nieto

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 introduce a continuous global optimization method to the field of surface reconstruction from discrete noisy cloud of points with weak information on orientation. The proposed method uses an energy functional combining flux-based…

Graphics · Computer Science 2017-08-01 Rongjiang Pan , Vaclav Skala

We consider the task of generating realistic 3D shapes, which is useful for a variety of applications such as automatic scene generation and physical simulation. Compared to other 3D representations like voxels and point clouds, meshes are…

Graphics · Computer Science 2023-04-18 Zhen Liu , Yao Feng , Michael J. Black , Derek Nowrouzezahrai , Liam Paull , Weiyang Liu

The paper presents a novel concept of a 3D structural metasurface with mechanically morphing capability that can be used as a transmit- or reflect-array to manipulate electromagnetic beams for applications in RF sensing and communications…

Space Physics · Physics 2024-08-22 Aakash Bansal , William Whittow