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Computational Mesh

by Sagnik Mazumdar, Panos G. Georgopoulos
"... Computational Fluid Dynamics (CFD) is used to investigate localized exposures for two different scenarios: (a) exposures to pesticide in a confined public space like an aircraft cabin; (b) exposure to hazardous chemicals released from transportation in an urban environment ..."
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Computational Fluid Dynamics (CFD) is used to investigate localized exposures for two different scenarios: (a) exposures to pesticide in a confined public space like an aircraft cabin; (b) exposure to hazardous chemicals released from transportation in an urban environment

Progressive Meshes

by Hugues Hoppe
"... Highly detailed geometric models are rapidly becoming commonplace in computer graphics. These models, often represented as complex triangle meshes, challenge rendering performance, transmission bandwidth, and storage capacities. This paper introduces the progressive mesh (PM) representation, a new s ..."
Abstract - Cited by 1315 (11 self) - Add to MetaCart
Highly detailed geometric models are rapidly becoming commonplace in computer graphics. These models, often represented as complex triangle meshes, challenge rendering performance, transmission bandwidth, and storage capacities. This paper introduces the progressive mesh (PM) representation, a new

Efficient representation of computational meshes

by A. Logg - Int. J. Comput. Sc. Engrg
"... Abstract: We present a simple yet general and efficient approach to representation of computational meshes. Meshes are represented as sets of mesh entities of different topological dimensions and their incidence relations. We discuss a straightforward and efficient storage scheme for such mesh repre ..."
Abstract - Cited by 8 (3 self) - Add to MetaCart
Abstract: We present a simple yet general and efficient approach to representation of computational meshes. Meshes are represented as sets of mesh entities of different topological dimensions and their incidence relations. We discuss a straightforward and efficient storage scheme for such mesh

Decimation of triangle meshes

by William J. Schroeder, Jonathan A. Zarge, William E. Lorensen - Computer Graphics (SIGGRAPH '92 Proceedings , 1992
"... The polygon remains a popular graphics primitive for computer graphics application. Besides having a simple representation, computer rendering of polygons is widely supported by commercial graphics hardware and software. ..."
Abstract - Cited by 640 (2 self) - Add to MetaCart
The polygon remains a popular graphics primitive for computer graphics application. Besides having a simple representation, computer rendering of polygons is widely supported by commercial graphics hardware and software.

Multiresolution Analysis of Arbitrary Meshes

by Matthias Eck , Tony DeRose, Tom Duchamp, Hugues Hoppe, Michael Lounsbery, Werner Stuetzle , 1995
"... In computer graphics and geometric modeling, shapes are often represented by triangular meshes. With the advent of laser scanning systems, meshes of extreme complexity are rapidly becoming commonplace. Such meshes are notoriously expensive to store, transmit, render, and are awkward to edit. Multire ..."
Abstract - Cited by 600 (16 self) - Add to MetaCart
In computer graphics and geometric modeling, shapes are often represented by triangular meshes. With the advent of laser scanning systems, meshes of extreme complexity are rapidly becoming commonplace. Such meshes are notoriously expensive to store, transmit, render, and are awkward to edit

Flexible representation of computational meshes

by Matthew G. Knepley, Dmitry A. Karpeev , 2005
"... A new representation of computational meshes is proposed in terms of a covering relation defined by discrete topological objects we call sieves. Fields over a mesh are handled locally by using the notion of refinement, dual to covering, and are later reassembled. In this approach fields are modeled ..."
Abstract - Cited by 2 (1 self) - Add to MetaCart
A new representation of computational meshes is proposed in terms of a covering relation defined by discrete topological objects we call sieves. Fields over a mesh are handled locally by using the notion of refinement, dual to covering, and are later reassembled. In this approach fields are modeled

QSplat: A Multiresolution Point Rendering System for Large Meshes

by Szymon Rusinkiewicz, Marc Levoy , 2000
"... Advances in 3D scanning technologies have enabled the practical creation of meshes with hundreds of millions of polygons. Traditional algorithms for display, simplification, and progressive transmission of meshes are impractical for data sets of this size. We describe a system for representing and p ..."
Abstract - Cited by 502 (8 self) - Add to MetaCart
Advances in 3D scanning technologies have enabled the practical creation of meshes with hundreds of millions of polygons. Traditional algorithms for display, simplification, and progressive transmission of meshes are impractical for data sets of this size. We describe a system for representing

Implicit Fairing of Irregular Meshes using Diffusion and Curvature Flow

by Mathieu Desbrun , Mark Meyer, Peter Schröder, Alan H. Barr , 1999
"... In this paper, we develop methods to rapidly remove rough features from irregularly triangulated data intended to portray a smooth surface. The main task is to remove undesirable noise and uneven edges while retaining desirable geometric features. The problem arises mainly when creating high-fidelit ..."
Abstract - Cited by 542 (23 self) - Add to MetaCart
-fidelity computer graphics objects using imperfectly-measured data from the real world. Our approach contains three novel features: an implicit integration method to achieve efficiency, stability, and large time-steps; a scale-dependent Laplacian operator to improve the diffusion process; and finally, a robust

Reconstruction and Representation of 3D Objects with Radial Basis Functions

by J. C. Carr, R. K. Beatson, J. B. Cherrie, T. J. Mitchell, W. R. Fright, B. C. McCallum, T. R. Evans - Computer Graphics (SIGGRAPH ’01 Conf. Proc.), pages 67–76. ACM SIGGRAPH , 2001
"... We use polyharmonic Radial Basis Functions (RBFs) to reconstruct smooth, manifold surfaces from point-cloud data and to repair incomplete meshes. An object's surface is defined implicitly as the zero set of an RBF fitted to the given surface data. Fast methods for fitting and evaluating RBFs al ..."
Abstract - Cited by 505 (1 self) - Add to MetaCart
We use polyharmonic Radial Basis Functions (RBFs) to reconstruct smooth, manifold surfaces from point-cloud data and to repair incomplete meshes. An object's surface is defined implicitly as the zero set of an RBF fitted to the given surface data. Fast methods for fitting and evaluating RBFs

Using spin images for efficient object recognition in cluttered 3D scenes

by Andrew E. Johnson, Martial Hebert - IEEE Transactions on Pattern Analysis and Machine Intelligence , 1999
"... We present a 3-D shape-based object recognition system for simultaneous recognition of multiple objects in scenes containing clutter and occlusion. Recognition is based on matching surfaces by matching points using the spin-image representation. The spin-image is a data level shape descriptor that i ..."
Abstract - Cited by 582 (9 self) - Add to MetaCart
that is used to match surfaces represented as surface meshes. We present a compression scheme for spin-images that results in efficient multiple object recognition which we verify with results showing the simultaneous recognition of multiple objects from a library of 20 models. Furthermore, we demonstrate
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