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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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Progressive compression of manifold polygon meshes [PDF]
Computers & Graphics, 2012 This paper presents a new algorithm for the progressive compression of manifold polygon meshes. The input surface is decimated by several traversals that generate successive levels of detail through a specific patch decimation operator which combines vertex removal and local remeshing.
Maglo, Adrien +3 more
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Consistently Orienting Facets in Polygon Meshes by Minimizing the Dirichlet Energy of Generalized Winding Numbers [PDF]
arXiv, 2014 Jacobson et al. [JKSH13] hypothesized that the local coherency of the generalized winding number function could be used to correctly determine consistent facet orientations in polygon meshes.
Jacobson, Alec +3 more
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Parametric methods for constructing the Islamic ornament [PDF]
E3S Web of Conferences, 2021 The article discusses the method of algorithmic construction of Islamic ornaments, which can be used as a decorative element in architectural design. Two necessary stages are highlighted in the generation of an ornamental motif by means of algorithmic ...
Nadyrshine Neil +4 more
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Osteology, 2023 Background: For almost a decade, virtual reality (VR) has been employed in otology simulation. The realism and accuracy of traditional three-dimensional (3D) mesh models of the middle ear from clinical CT have suffered because of their low resolution ...
Kai Cheng +4 more
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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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The Diamond Laplace for Polygonal and Polyhedral Meshes
Computer Graphics Forum, 2021 AbstractWe introduce a construction for discrete gradient operators that can be directly applied to arbitrary polygonal surface as well as polyhedral volume meshes. The main idea is to associate the gradient of functions defined at vertices of the mesh with diamonds: the region spanned by a dual edge together with its corresponding primal element — an ...
A. Bunge, M. Botsch, M. Alexa
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Equidistant and Uniform Data Augmentation for 3D Objects
IEEE Access, 2022 Data augmentation is commonly used to increase the size and diversity of the datasets in machine learning. It is of particular importance to evaluate the robustness of the existing machine learning methods.
Alexander Morozov +2 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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MeshGraphNet: An Effective 3D Polygon Mesh Recognition With Topology Reconstruction
IEEE Access, 2020 Three-dimensional polygon mesh recognition has a significant impact on current computer graphics. However, its application to some real-life fields, such as unmanned driving and medical image processing, has been restricted due to the lack of inner ...
An Ping Song +3 more
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