Results 11 to 20 of about 18,772 (276)
Discrete Laplacians on general polygonal meshes [PDF]
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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Regular meshes from polygonal patterns
We present a framework for designing shapes from diverse combinatorial patterns, where the vertex 1-rings and the faces are as rotationally symmetric as possible, and define such meshes as regular. Our algorithm computes the geometry that brings out the symmetries encoded in the combinatorics. We then allow designers and artists to envision and realize
Vaxman, Amir +2 more
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Entropy as a Geometrical Source of Information in Biological Organizations
Considering both biological and non-biological polygonal shape organizations, in this paper we introduce a quantitative method which is able to determine informational entropy as spatial differences between heterogeneity of internal areas from simulation
Juan Lopez-Sauceda +5 more
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Breaking Permutation-Based Mesh Steganography and Security Improvement
Permutation-based steganography in polygonal meshes can provide considerably large embedding capacities for hiding secret messages. However, corresponding steganalysis techniques against such methods have never been studied.
Yimin Wang +5 more
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CITY RECONSTRUCTION FROM AIRBORNE LIDAR: A COMPUTATIONAL GEOMETRY APPROACH [PDF]
We introduce a pipeline that reconstructs buildings of urban environments as concise polygonal meshes from airborne LiDAR scans. It consists of three main steps: classification, building contouring, and building reconstruction, the two last steps being ...
J.-P. Bauchet, J.-P. Bauchet, F. Lafarge
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Colour interpolants for polygonal gradient meshes [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gerben J. Hettinga +2 more
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Urban Building Mesh Polygonization Based on 1-Ring Patch and Topology Optimization
With the development of UAV and oblique photogrammetry technology, the multi-view stereo image has become an important data source for 3D urban reconstruction, and the surface meshes generated by it have become a common way to represent the building ...
Li Yan, Yao Li, Hong Xie
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A virtual element method for the vibration problem of Kirchhoff plates [PDF]
The aim of this paper is to develop a virtual element method (VEM) for the vibration problem of thin plates on polygonal meshes. We consider a variational formulation relying only on the transverse displacement of the plate and propose an $H^2(\Omega ...
Mora, David +2 more
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Progressive compression of manifold polygon meshes [PDF]
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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Mesh quality can affect both the accuracy and efficiency of numerical solutions. This paper first proposes a geometry-based smoothing and untangling method for 2D meshes based on explicit element geometric transformation and element stitching.
Shuli Sun, Zhihong Gou, Mingguang Geng
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