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Anisotropic mesh quality measures and adaptation for polygonal meshes [PDF]
Journal of Computational Physics, 2020 Anisotropic mesh quality measures and anisotropic mesh adaptation are studied for polygonal meshes. Three sets of alignment and equidistribution measures are developed, one based on least squares fitting, one based on generalized barycentric mapping, and the other based on singular value decomposition of edge matrices.
Weizhang Huang, Yanqiu Wang
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On mesh refinement procedures for polygonal virtual elements
Applications in Engineering ScienceThis work concerns the application of adaptive refinement procedures to meshes of unstructured polygonal virtual elements. Adaptive refinement indicators previously proposed by the authors, and investigated for meshes of structured quadrilateral elements,
Daniel van Huyssteen +3 more
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Polylidar - Polygons From Triangular Meshes [PDF]
IEEE Robotics and Automation Letters, 2020 This paper presents Polylidar, an efficient algorithm to extract non-convex polygons from 2D point sets, including interior holes. Plane segmented point clouds can be input into Polylidar to extract their polygonal counterpart, thereby reducing map size and improving visualization.
Jeremy Castagno, Ella Atkins
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Advances in Civil Engineering, 2021 The polygonal scaled boundary finite element method (PSBFEM) is a novel approach integrating the standard scaled boundary finite element method and the polygonal mesh technique. In this work, a user-defined element (UEL) for dynamic analysis based on the
Nan Ye, Chao Su, Yang Yang
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Deep Neural Network for 3D Shape Classification Based on Mesh Feature
Sensors, 2022 Virtual reality, driverless cars, and robotics all make extensive use of 3D shape classification. One of the most popular ways to represent 3D data is with polygonal meshes. In particular, triangular mesh is frequently employed.
Mengran Gao +3 more
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Repairing 3D Models Obtained From Range Sensors
IEEE Access, 2021 This paper presents a method to restore 3D models created from range sensors. The approach recovers the 3D information that is lost during the scanning process, usually due to inaccessible zones on the object (occluded areas and crevices).
Emiliano Perez +3 more
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Archives of Mechanics, 2020 As a combination of the traditional finite element method and boundary element method, the n-sided polygonal hybrid finite element method with fundamental solution kernels, named as HFS-FEM, is thoroughly studied in this work for two-dimensional heat ...
R.F. Cao, X.J. Zhao, W.Q. Lin, H. Wang
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Polygonal finite element-based content-aware image warping
Computational Visual Media, 2023 Mesh-based image warping techniques typically represent image deformation using linear functions on triangular meshes or bilinear functions on rectangular meshes. This enables simple and efficient implementation, but in turn, restricts the representation
Juan Cao +3 more
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Preparation Of Control Space For Remeshing Of Polygonal Surfaces
Computer Science, 2013 The subject of the article concerns the issues of remeshing, transforming a polygonal mesh into a triangular mesh adapted to surface. From the initial polygonal mesh the curvature of surface and boundary is retrieved and used to calculate a metric tensor
Tomasz Jurczyk, Barbara Glut
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Discrete Laplacians on general polygonal meshes [PDF]
ACM Transactions on Graphics, 2011 While the theory and applications of discrete Laplacians on triangulated surfaces are well developed, far less is known about the general polygonal case. We present here a principled approach for constructing geometric discrete Laplacians on surfaces with arbitrary polygonal faces ...
Marc Alexa, Max Wardetzky
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