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Robust adaptive meshes for implicit surfaces

Afonso Paiva, Helio Lopes, Thomas Lewiner, Luiz De Figueiredo
2006 Computer Graphics and Image Processing (SIBGRAPI), Proceedings of the Brazilian Symposium on  
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

Leif Kobbelt
2003 Computer graphics forum (Print)  
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]

Hassan Bouchiba, Simon Santoso, Jean-Emmanuel Deschaud, Luisa Rocha-Da-Silva, François Goulette, Thierry Coupez
2018 arXiv   pre-print
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

Hassan Bouchiba, Simon Santoso, Jean-Emmanuel Deschaud, Luisa Rocha-Da-Silva, François Goulette, Thierry Coupez
2020 Journal of Computational Physics: X  
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

Joao Paulo Gois, Valdecir Po, Tiago Etiene, Eduardo Tejada, Antonio Castelo, Thomas Ertl, Luis Gustavo Nonato
2007 Computer Graphics and Image Processing (SIBGRAPI), Proceedings of the Brazilian Symposium on  
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

Joao Paulo Gois, Valdecir Polizelli-Junior, Tiago Etiene, Eduardo Tejada, Antonio Castelo, Thomas Ertl, Luis Gustavo Nonato
2007 XX Brazilian Symposium on Computer Graphics and Image Processing (SIBGRAPI 2007)  
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

Antoine Bouthors, Matthieu Nesme
2007 Graphics Interface  
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

Fernando Goes, Felipe G. Bergo, Alexandre Falcao, Siome Goldenstein
2006 Computer Graphics and Image Processing (SIBGRAPI), Proceedings of the Brazilian Symposium on  
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]

Sunhwa Jung, Min Hong, Min-Hyung Choi
2005 Lecture Notes in Computer Science  
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

Jun Wang, Zhouwang Yang, Liangbing Jin, Jiansong Deng, Falai Chen
2010 Proceedings of the 14th ACM Symposium on Solid and Physical Modeling - SPM '10  
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

Lingxiao Zhao, Charl Botha, Javier Bescos, Roel Truyen, Frans Vos, Frits Post
2006 IEEE Transactions on Visualization and Computer Graphics  
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]

Pauline Jepp, Bruno Araujo, Joaquim Jorge, Brian Wyvill, Mario Costa Sousa
2009 Computational Aesthetics in Graphics  
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

Jun Wang, Zhouwang Yang, Liangbing Jin, Jiansong Deng, Falai Chen
2011 Computer Aided Geometric Design  
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

John Schreiner, Carlos Scheidegger, Claudio Silva
2006 IEEE Transactions on Visualization and Computer Graphics  
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

Eric Schall, Nicolas Chauchat
2019 Communications in nonlinear science & numerical simulation  
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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