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Efficient Adaptive Meshing of Parametric Models

by Alla Sheffer, Alper Üngör , 2001
"... Parametric modeling is becoming the representation of choice for most modern solid modelers. However, when generating the finite-element mesh of the model for simulation and analysis, most meshing tools ignore the parametric information and use only the boundary representation of the model for mes ..."
Abstract - Cited by 7 (0 self) - Add to MetaCart
Parametric modeling is becoming the representation of choice for most modern solid modelers. However, when generating the finite-element mesh of the model for simulation and analysis, most meshing tools ignore the parametric information and use only the boundary representation of the model

Abstract Efficient Adaptive Meshing of Parametric Models

by Alla Sheffer
"... Parametric modeling is becoming the representation of choice for most modern solid modelers. However, when generating the finiteelement mesh of the model for simulation and analysis, most meshing tools ignore the parametric information and use only the boundary representation of the model for meshin ..."
Abstract - Add to MetaCart
. The paper examines existing meshing techniques developed for other purposes, which can be applied to this problem. It also suggests several new mesh modification techniques specifically designed for efficient mesh adjustment after parametric model changes.

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 605 (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

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 1321 (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 region tracking with parametric models of geometry and illumination

by Gregory D. Hager, Peter N. Belhumeur - PAMI , 1998
"... Abstract—As an object moves through the field of view of a camera, the images of the object may change dramatically. This is not simply due to the translation of the object across the image plane. Rather, complications arise due to the fact that the object undergoes changes in pose relative to the v ..."
Abstract - Cited by 555 (26 self) - Add to MetaCart
to the viewing camera, changes in illumination relative to light sources, and may even become partially or fully occluded. In this paper, we develop an efficient, general framework for object tracking—one which addresses each of these complications. We first develop a computationally efficient method

Mesh Optimization

by Hugues Hoppe, et al. , 1993
"... We present a method for solving the following problem: Given a set of data points scattered in three dimensions and an initial triangular mesh wH, produce a mesh w, of the same topological type as wH, that fits the data well and has a small number of vertices. Our approach is to minimize an energy f ..."
Abstract - Cited by 397 (8 self) - Add to MetaCart
function that explicitly models the competing desires of conciseness of representation and fidelity to the data. We show that mesh optimization can be effectively used in at least two applications: surface reconstruction from unorganized points, and mesh simplification (the reduction of the number

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 553 (24 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

Texture Synthesis by Non-parametric Sampling

by Alexei Efros, Thomas Leung - In International Conference on Computer Vision , 1999
"... A non-parametric method for texture synthesis is proposed. The texture synthesis process grows a new image outward from an initial seed, one pixel at a time. A Markov random field model is assumed, and the conditional distribution of a pixel given all its neighbors synthesized so far is estimated by ..."
Abstract - Cited by 1014 (7 self) - Add to MetaCart
A non-parametric method for texture synthesis is proposed. The texture synthesis process grows a new image outward from an initial seed, one pixel at a time. A Markov random field model is assumed, and the conditional distribution of a pixel given all its neighbors synthesized so far is estimated

Triangle: Engineering a 2D Quality Mesh Generator and Delaunay Triangulator

by Jonathan Richard Shewchuk
"... ..."
Abstract - Cited by 587 (8 self) - Add to MetaCart
Abstract not found

Parametric Shape Analysis via 3-Valued Logic

by Mooly Sagiv, Thomas Reps, Reinhard Wilhelm , 2001
"... Shape Analysis concerns the problem of determining "shape invariants"... ..."
Abstract - Cited by 660 (79 self) - Add to MetaCart
Shape Analysis concerns the problem of determining "shape invariants"...
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