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Robust adaptive meshes for implicit surfaces
2006
Computer Graphics and Image Processing (SIBGRAPI), Proceedings of the Brazilian Symposium on
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Abstract This work introduces a robust algorithm for computing good polygonal approximations of implicit surfaces, where robustness entails recovering the exact topology of the implicit surface. ...
Furthermore, the approximate triangle mesh adapts to the geometry and to the topology of the real implicit surface. ...
In this paper, we describe an algorithm that computes a robust and adaptive triangular approximation for an implicit surface given by a formula. ...
doi:10.1109/sibgrapi.2006.40
dblp:conf/sibgrapi/PaivaLLF06
fatcat:nd255u3cyng5rpt2wynyn3aosu
Freeform Shape Representations for Efficient Geometry Processing
2003
Computer graphics forum (Print)
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These applications include surface remeshing, mesh fairing, global error control for mesh decimation and smoothing, and topology control for levelset surfaces. ...
On the other hand, the topology of a parametrically defined surface can be controlled explicitly while in a volumetric representation, the surface topology can change accidentally during deformation. ...
Implicit surfaces do not provide any means of parameterization. Hence, it is for instance almost impossible to consistently paste textures onto evolving implicit surfaces. ...
doi:10.1111/1467-8659.00667
fatcat:iec4tj57lrefpnmuu4a525wqou
Computational Fluid Dynamics on 3D Point Set Surfaces
[article]
2018
arXiv
pre-print
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The proposed method builds an anisotropic volumetric tetrahedral mesh adapted around a point-sampled surface, without an explicit surface reconstruction step. ...
The surface is represented by a new extended implicit moving least squares (EIMLS) scalar representation that extends the definition of the function to the entire computational domain, which makes it possible ...
Acknowledgment The authors thank Stanford Computer Graphics Laboratory for the Stanford Bunny 3D scan. ...
arXiv:1901.04944v1
fatcat:xboxut3nnzc6da4ywaqyrxu37q
Computational Fluid Dynamics on 3D Point Set Surfaces
2020
Journal of Computational Physics: X
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Acknowledgment The authors thank Stanford Computer Graphics Laboratory for the Stanford Bunny 3D scan. ...
Figure 11 depicts the results of the proposed method for mesh adaptation on 3D point-sampled surfaces. ...
(b) Zero level extracted from the implicit EIMLS function interpolated on the final adapted mesh. (c) Slice of the adapted mesh. (d) Slice of the implicit function. ...
doi:10.1016/j.jcpx.2020.100069
fatcat:4yebedsi5vdxzhh3ehbb3gcjte
Robust and Adaptive Surface Reconstruction using Partition of Unity Implicits
2007
Computer Graphics and Image Processing (SIBGRAPI), Proceedings of the Brazilian Symposium on
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Implicit surface reconstruction from unorganized point sets has been recently approached with methods based on multi-level partition of unity. ...
We improve this approach by addressing local approximation robustness and iso-surface extraction issues. ...
Robust adaptive partition of unity implicits Traditionally, an adaptive partition of unity implicit is built using an octree to partition the space and calculate local approximations that are subsequently ...
doi:10.1109/sibgra.2007.4368173
fatcat:xdb34u3y5jgjdioxehwrvfxiua
Robust and Adaptive Surface Reconstruction using Partition of Unity Implicits
2007
XX Brazilian Symposium on Computer Graphics and Image Processing (SIBGRAPI 2007)
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Implicit surface reconstruction from unorganized point sets has been recently approached with methods based on multi-level partition of unity. ...
We improve this approach by addressing local approximation robustness and iso-surface extraction issues. ...
Robust adaptive partition of unity implicits Traditionally, an adaptive partition of unity implicit is built using an octree to partition the space and calculate local approximations that are subsequently ...
doi:10.1109/sibgrapi.2007.8
dblp:conf/sibgrapi/GoisPETCEN07
fatcat:6fbzhpji35dazh7bwf6jgktivy
Twinned meshes for dynamic triangulation of implicit surfaces
2007
Graphics Interface
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We introduce a new approach to mesh an animated implicit surface for rendering. ...
This method is robust, moreover it provides interactive and quality rendering of animated or manipulated implicit surfaces. ...
Mesh initialization We must have an initial mesh for the implicit surface before we can start tracking how it changes. ...
doi:10.1145/1268517.1268521
dblp:conf/graphicsinterface/BouthorsN07
fatcat:pvfa743uwrdbpft5c4u2jh4ahm
Adapted Dynamic Meshes for Deformable Surfaces
2006
Computer Graphics and Image Processing (SIBGRAPI), Proceedings of the Brazilian Symposium on
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In this paper, we introduce a framework for constructing and maintaining a timevarying adapted mesh structure that conforms to the underlying deformable surface. ...
Furthermore, it applies to both parametric and implicit surface descriptions. As the result, we obtain a simple and efficient general scheme that can be used for a wide range of computations. ...
surface in a robust and efficient manner. ...
doi:10.1109/sibgrapi.2006.6
dblp:conf/sibgrapi/GoesBFG06
fatcat:4npuwmcqaffkfbhsxdmgqsn434
An Adaptive Collision Detection and Resolution for Deformable Objects Using Spherical Implicit Surface
[chapter]
2005
Lecture Notes in Computer Science
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We present a fast and robust collision detection and resolution scheme for deformable objects using a new enhanced spherical implicit surface hierarchy. ...
Our adaptive hierarchical approach enables us to achieve a real-time simulation rate, well suited for interactive applications. ...
for the robust collision handling. ...
doi:10.1007/11428831_91
fatcat:3jglpl5g5vfe7nn2qor76mwuri
Adaptive surface reconstruction based on implicit PHT-splines
2010
Proceedings of the 14th ACM Symposium on Solid and Physical Modeling - SPM '10
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Given a point cloud, an implicit PHT-spline surface is constructed by interpolating the Hermitian information at the basis vertices of the T-mesh, and the Hermitian information is obtained by estimating ...
We use the natural hierarchical structure of PHT-splines to reconstruct surfaces adaptively, with simple error-guided local refinements that adapt to the regional geometric details of the target object ...
Adaptive implicit PHT-spline surface approximation The algorithm of constructing an implicit PHT-spline surface approximation is driven by the construction of a hierarchical T-mesh. ...
doi:10.1145/1839778.1839792
dblp:conf/sma/WangYJDC10
fatcat:ni5yfvau7nffxh3dhmxaiy6eta
Lines of Curvature for Polyp Detection in Virtual Colonoscopy
2006
IEEE Transactions on Visualization and Computer Graphics
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We have adapted existing approaches on explicit triangular surface meshes, and developed a new algorithm on implicit surfaces embedded in 3D volume data. ...
In this paper, we describe techniques for generating and rendering lines of curvature on surfaces and we show that these lines can be used as part of a polyp detection approach. ...
C. van Wijk for kind advices and helpful discussions, as well as providing the authors with CT scans of patients. ...
doi:10.1109/tvcg.2006.158
pmid:17080813
fatcat:wpjwcsf6qjcythw3dv3w5no5lu
Style Nodes and Repolygonization for Hierarchical Tree-Based Implicit Surface Modelling
[article]
2009
Computational Aesthetics in Graphics
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As visualization of implicit surfaces in interactive environments is often based on polygonization a more accurate curvature based polygonisation algorithm is also presented. ...
In this paper we present an extension to a hierarchical tree based implicit surface modelling system that includes interactively controlling style and appearance, and also creating a more accurate curvature ...
Acknowledgements Bruno Araujo was supported by the Portuguese Foundation for Science and Technology, grant reference SFRH/BD/31020/2006. ...
doi:10.2312/compaesth/compaesth09/041-048
fatcat:d6s3rkbzojbi3igvnwuaqxnxci
Parallel and adaptive surface reconstruction based on implicit PHT-splines
2011
Computer Aided Geometric Design
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We present a new surface reconstruction framework, which uses the implicit PHT-spline for shape representation and allows us to efficiently reconstruct surface models from very large sets of points. ...
Given a point cloud, an implicit PHT-spline surface is constructed by interpolating the Hermitian information at the basis vertices of the T-mesh, and the Hermitian information is obtained by estimating ...
Thanks also go to Aim@Shape project and the Stanford Computer Graphics Laboratory for providing the models in the paper. ...
doi:10.1016/j.cagd.2011.06.004
fatcat:pw6tdgvcabcrnipcwamsxkarly
High-Quality Extraction of Isosurfaces from Regular and Irregular Grids
2006
IEEE Transactions on Visualization and Computer Graphics
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Our work extends the guidance field framework of Schreiner et al. to implicit surfaces, and improves it in significant ways. ...
triangle quality and mesh size. ...
CONCLUSION AND FUTURE WORK We have presented a robust algorithm for extracting surfaces from implicit functions. ...
doi:10.1109/tvcg.2006.149
pmid:17080853
fatcat:aqhhiatmojat7k62irlkgh2p4a
Implicit method and slope limiter in AHMR procedure for high order discontinuous Galerkin methods for compressible flows
2019
Communications in nonlinear science & numerical simulation
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In this paper the robustness and the performance of adaptive hierarchical mesh refinement (AHMR) for high order Discontinuous Galerkin (DG) finite element method with slope limiting procedure combined ...
with an implicit time scheme for the 2D non-linear Euler equations are shown. ...
paper the robustness and the performance of adaptive hierarchical mesh refinement (AHMR) for high order Discontinuous Galerkin (DG) finite element method with slope limiting procedure combined with an ...
doi:10.1016/j.cnsns.2018.12.020
fatcat:l673ohjbb5c47pr7voh5swp5qy
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