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A minimal and complete set of operators for the development of robust manifold mesh modelers

Ergun Akleman, Jianer Chen, Vinod Srinivasan
2003 Graphical Models  
Using these operators, we have developed a prototype system for robust, interactive and user friendly modeling of orientable 2-manifold meshes.  ...  In this paper, we identify a minimal and complete set of fundamental operators, which is necessary and sufficient for performing all homeomorphic and topological operations on 2-manifold mesh structures  ...  We argue that the above set of operators is minimal and complete in the sense that it is necessary and sufficient for performing any homeomorphic and topological operator on orientable 2-manifold meshes  ... 
doi:10.1016/s1524-0703(03)00047-x fatcat:czrbhc3i25dc7kqueugn3aa2yu


2001 International journal of shape modeling  
A recently developed topological mesh modeling approach allows users to change topology of orientable 2-manifold meshes and to create unusual faces.  ...  Second, we develop careful and efficient remeshing algorithms for our corner cutting scheme that use only the basic operations provided by our topological mesh modeling approach.  ...  set of operations for robust and user-friendly modeling of any orientable 2-manifold mesh.  ... 
doi:10.1142/s0218654301000084 fatcat:clsljzqdovbclkisw4wwydavei

Block meshes: Topologically robust shape modeling with graphs embedded on 3-manifolds

Ergun Akleman, Jianer Chen, Jonathan L. Gross
2015 Computers & graphics  
a minimal set of operations that transform CMMpattern-coverable meshes to CMM-pattern-coverable meshes.  ...  Moreover, the framework includes a set of operations that can preserve CMM-pattern coverability.  ...  This work was partially supported by the National Science Foundation under Grants NSF-CCF-0917288 and NSF-EFRI-1240483.  ... 
doi:10.1016/j.cag.2014.09.020 fatcat:reanmvkyxjcnllkmo4bycezdrq

Interactive Rind Modeling for Architectural Design

Ozan Önder Özener, Ergun Akleman, Vinod Srinivasan
2005 International Journal of Architectural Computing  
Rind modeling method allows us developing a user-friendly tool for designers and architects.  ...  The paper presents a new modeling technique for architectural design. Rind modeling provides for the easy creation of surfaces resembling peeled and punctured rinds.  ...  We have also developed a minimal set of (four) operators (Akleman et al. 2003 ) that can effectively change the topology of a manifold mesh by inserting and deleting handles, opening and closing (a)  ... 
doi:10.1260/1478077053739676 fatcat:pb6l6maiijdpzd5x6lsy4eomsa

Fairing of non-manifolds for visualization

A. Hubeli, M. Gross
2000 Proceedings Visualization 2000. VIS 2000 (Cat. No.00CH37145)  
Our framework works with any of the manifold fairing operators for meshes.  ...  of the shrine are lost. c) Scene faired in the non-manifold setting: the topological type of the scene is preserved, and the model is smooth both along and across intersection curves. a) b) c) Abstract  ...  Furthermore, we plan to develop robust texture parametrization methods that are independent of the fairing operator and the topological type of the two-features.  ... 
doi:10.1109/visual.2000.885722 dblp:conf/visualization/HubeliG00 fatcat:llx3eve5gnfffofcu6yilrzu4q

Fixing Geometric Errors on Polygonal Models: A Survey

Tao Ju
2009 Journal of Computer Science and Technology  
That is, the polygonal model needs to be closed, manifold, and free of self-intersections.  ...  Polygonal models are popular representations of 3D objects. The use of polygonal models in computational applications often requires a model to properly bound a 3D solid.  ...  The minimal variation of sign change is formalized recently in a graph setting by Hornung and Kobbelt [38] , who casted the inside and outside separation task as a min-cut problem in a volume graph where  ... 
doi:10.1007/s11390-009-9206-7 fatcat:55djfs4rlfcihl4ir7fe4sdcx4

Projective dynamics

Sofien Bouaziz, Sebastian Martin, Tiantian Liu, Ladislav Kavan, Mark Pauly
2014 ACM Transactions on Graphics  
We demonstrate the generality and robustness of our approach in many different applications ranging from the simulation of solids, cloths, and shells, to example-based simulation.  ...  Abstract We present a new method for implicit time integration of physical systems.  ...  We are grateful to luismigabril for providing the cartoon house model and to Daniel Grauer for modeling the teaser scene. We also thank Yuliy Schwartzburg for his narration of the accompanying video.  ... 
doi:10.1145/2601097.2601116 fatcat:gluw33r4anbbjdsgkbpkrjj3xm

Robust hex-dominant mesh generation using field-guided polyhedral agglomeration

Xifeng Gao, Wenzel Jakob, Marco Tarini, Daniele Panozzo
2017 ACM Transactions on Graphics  
The ield design phase of our method relies on a compact quaternionic representation of volumetric octa-ields and a corresponding optimization that explicitly models the discrete matchings between neighboring  ...  The positions of the vertices of an input tetrahedral mesh (let, t = 0) are morphed (t = 1) into a hex-dominant mesh (right), guided by an orientation and a position field.  ...  Trif for coding a preliminary prototype, and Olga Sorkine-Hornung for the insightful discussions.  ... 
doi:10.1145/3072959.3073676 fatcat:byywjjojzbduhph37jnj6h4rau

Multimaterial Front Tracking [article]

Fang Da, Christopher Batty, Eitan Grinspun
2014 arXiv   pre-print
We advect the vertices of the mesh in a Lagrangian manner, and employ a complete set of collision-safe mesh improvement and topological operations that track and update material labels.  ...  In particular, we develop a unified, collision-safe strategy for handling complex topological operations acting on evolving triple- and higher-valence junctions, and a flexible method to merge colliding  ...  Non-manifold mesh-based algorithms for simulating T1 (and the simpler T2) processes have been developed by authors studying minimal surfaces, foams, and grain growth [Brakke 1992; Lazar 2011] .  ... 
arXiv:1306.3113v2 fatcat:mdprnjk4nrghtnfllx3wxx4b6m

Integrated thermo-fluid analysis towards helium flow path design for an ITER solid breeder blanket module

A. Ying, M. Narula, R. Hunt, M. Abdou, Y. Ando, I. Komada
2007 Fusion engineering and design  
The primary objective of this paper is to introduce the procedure for carrying out complex thermo-fluid analysis using the complete three dimensional CAD models of the TBM to evaluate the performance of  ...  In this light, a sophisticated numerical flow solver ('SC/Tetra' by CRADLE ® ), with a robust CAD interface, has been used to develop and evaluate helium coolant flow schemes for a solid breeder test blanket  ...  Acknowledgement This work was supported in part by the US Department of Energy Office of Fusion Energy Science under DE-FC02-04ER54698.  ... 
doi:10.1016/j.fusengdes.2007.05.080 fatcat:rfw73ipuvnez5fh7ldbeo2zsaq

Cartesian Mesh Generation with Local Refinement for Immersed Boundary Approaches

Luca Di Di Angelo, Francesco Duronio, Angelo De De Vita, Andrea Di Di Mascio
2021 Journal of Marine Science and Engineering  
Starting from the discrete manifold model of the object to be analyzed, the proposed model generates Cartesian adaptive grids for a CFD simulation, with minimal user interactions; the most innovative aspect  ...  In this paper, an efficient and robust Cartesian Mesh Generation with Local Refinement for an Immersed Boundary Approach is proposed, whose key feature is the capability of high Reynolds number simulations  ...  Figure 2 . 2 Key steps of the proposed grid generation method: (a) the imported discretised manifold model; (b) the oriented discretised manifold model; (c) the results of the discretised manifold model  ... 
doi:10.3390/jmse9060572 fatcat:gcwqo6ur4fczlkcza7iifbdrj4

An Application of Manifold Learning in Global Shape Descriptors

Fereshteh S. Bashiri, Reihaneh Rostami, Peggy Peissig, Roshan M. D'Souza, Zeyun Yu
2019 Algorithms  
In this paper, for the first time, we incorporate a specific manifold learning technique, introduced in statistics and machine learning, to develop a global, spectral-based shape descriptor in the computer  ...  As a result, our descriptor eliminates the limitations tied to the existing spectral descriptors, namely dependency on triangular mesh representation and high intra-class quality of 3D models.  ...  Tafti and C. David Page for their expertise and constructive comments. Any errors are our own and should not tarnish the reputation of these esteemed scientists.  ... 
doi:10.3390/a12080171 fatcat:mhlcbqsxyrhp5l7oivuvvxgenq

Using Polyhedral Models to Automatically Sketch Idealized Geometry for Structural Analysis

P. Véron, J.-C. Léon
2001 Engineering with Computers  
To this end, within this paper a new approach is proposed to simplify an initial manifold or non-manifold polyhedral model with respect to bounded errors specified by the user or set up, for example, from  ...  Such a simplification process must be adapted to the use of the resulting polyhedral model.  ...  Processing overlapping areas This operator is dedicated to the dimensional reduction of volumes (subsets of two manifold and closed face sets) into surfaces (two manifold and opened face sets).  ... 
doi:10.1007/s366-001-8303-6 fatcat:zs2i4hhij5e75kmoenzkuvzhhm

Layered Depth-Normal Images: a Sparse Implicit Representation of Solid Models [article]

Charlie C. L. Wang, Yong Chen
2010 arXiv   pre-print
Based on this implicit representation - LDNIs, solid modeling operations including the Boolean operations and the offsetting operation have been developed.  ...  The layered depth-normal images for a solid model, whose boundary is presented by a polygonal mesh, can be generated efficiently with help of the graphics hardware accelerated sampling.  ...  Benefited from the compact and intuitive mathematical representation, the solid modeling operations developed for implicit representations are usually robust and easy to implement.  ... 
arXiv:1009.0794v1 fatcat:smrpttx4n5hf5kov5n2vnhvkza

A lightweight approach to repairing digitized polygon meshes

Marco Attene
2010 The Visual Computer  
On the other hand, polygon meshes obtained from acquisition of real-world objects typically exhibit several defects, and thus are not appropriate for a widespread exploitation.  ...  When designing novel algorithms for geometric processing and analysis, researchers often assume that the input conforms to several requirements.  ...  Last but not least, I am grateful to Bianca Falcidieno, Michela Spagnuolo and all the members of the Shape Modeling Group at IMATI-CNR for helpful discussions.  ... 
doi:10.1007/s00371-010-0416-3 fatcat:ax5pyow3prew3mvx2zmgfxb4um
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