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A Laplacian for Nonmanifold Triangle Meshes
AbstractWe describe a discrete Laplacian suitable for any triangle mesh, including those that are nonmanifold or nonorientable (with or without boundary). Our Laplacian is a robust drop‐in replacement for the usual cotan matrix, and is guaranteed to have nonnegative edge weights on both interior and boundary edges, even for extremely poor‐quality ...
Nicholas Sharp, Keenan Crane
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Progressive Compression of Triangle Meshes
This paper details the first publicly available implementation of the progressive mesh compression algorithm described in the paper entitled "Compressed Progressive Meshes" [R. Pajarola and J. Rossignac, IEEE Transactions on Visualization and Computer Graphics, 6 (2000), pp. 79-93].
Vidal, Vincent+3 more
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Well-Centered Triangulation [PDF]
Meshes composed of well-centered simplices have nice orthogonal dual meshes (the dual Voronoi diagram). This is useful for certain numerical algorithms that prefer such primal-dual mesh pairs.
Guoy, Damrong+3 more
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An Effective Method for Slicing Triangle Meshes Using a Freeform Curve
Slicing 3D polygonal meshes is a fundamental operation in various applications such as virtual surgery, garment simulation, and game development. Existing methods primarily slice meshes using either a single line or a set of line segments approximating a
Seung-Yong Lee+2 more
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Segmenting reliefs on triangle meshes [PDF]
Sculptural reliefs are widely used in various industries for purposes such as applying brands to packaging and decorating porcelain. In order to easily apply reliefs to CAD models, it is often desirable to reverse-engineer previously designed and manufactured reliefs. 3D scanners can generate triangle meshes from objects with reliefs; however, previous
Frank C. Langbein+3 more
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Multiresolution Computation of Conformal Structures of Surfaces [PDF]
An efficient multiresolution method to compute global conformal structures of nonzero genus triangle meshes is introduced. The homology, cohomology groups of meshes are computed explicitly, then a basis of harmonic one forms and a basis of holomorphic ...
Xianfeng Gu, Yalin Wang, Shing-Tung Yau
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The utilization of Building Information Modeling (BIM) on-site has been limited due to the lack of an appropriate medium for visualizing and accessing models and project data intuitively in the field.
Youngsu Yu, Haein Jeon, Bonsang Koo
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A Topological Framework for Interactive Queries on 3D Models in the Web
Several technologies exist to create 3D content for the web. With X3D, WebGL, and X3DOM, it is possible to visualize and interact with 3D models in a web browser.
Mauro Figueiredo+3 more
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This research paper tackles the problem of determining displacements of complex-shaped shell structures, measured periodically using laser scanning. Point clouds obtained during different measurement epochs can be compared with each other directly or ...
Lenda Grzegorz, Abrachamowicz Katarzyna
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A tetrahedral space-filling curve for non-conforming adaptive meshes
We introduce a space-filling curve for triangular and tetrahedral red-refinement that can be computed using bitwise interleaving operations similar to the well-known Z-order or Morton curve for cubical meshes.
Burstedde, Carsten, Holke, Johannes
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