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Smooth surface and triangular mesh

Proceedings of the seventh ACM symposium on Solid modeling and applications, 2002
Replacing a smooth surface with a triangular mesh (i.e., a polyedron) "close to it" leads to some errors. The geometric properties of the triangular mesh can be very different from the geometric properties of the smooth surface, even if both surfaces are very close from one another.
Jean-Marie Morvan, Boris Thibert
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Mesh regularization and adaptive smoothing

Computer-Aided Design, 2001
The paper presents a set of mesh smoothing tools developed to increase mesh regularity, reduce oversmoothing, and enhance crease lines. Mesh smoothing with simultaneous increasing mesh regularity and reducing oversmoothing is achieved by combining together the Laplacian flow and a mesh evolution by a function of the mean curvature.
Yutaka Ohtake   +2 more
openaire   +1 more source

Smoothed Quadratic Energies on Meshes

ACM Transactions on Graphics, 2014
In this article, we study the regularization of quadratic energies that are integrated over discrete domains. This is a fairly general setting, often found in, but not limited to, geometry processing. The standard Tikhonov regularization is widely used such that, for instance, a low-pass filter enforces smoothness of the solution.
Martinez Esturo, J.   +2 more
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Smooth Polylines on Polygon Meshes

2004
Curves on surfaces can be very useful to visualize surface features at low graphical and memory cost. Curves on surfaces are also used for surface segmentation with possible applications to visualization, reconstruction and parameterization of complex surfaces. In this paper a simple and efficient algorithm for building smooth polylines on triangulated
Georges-Pierre Bonneau, Stefanie Hahmann
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MORE MESH DATA SMOOTHING

1993
Abstract In Chapter 10 we demonstrated how least-squares and smoothing splines can be calculated very efficiently if the data are given at the nodes of a rectangular grid. In this chapter we will show how the calculations can be adapted if we want to approximate a function over a disk or a sphere, provided that the data are now given on ...
openaire   +1 more source

Mesh Smoothing for Triangulations Defined on Surfaces

Civil-Comp Proceedings, 2009
This paper presents a new procedure to improve the quality of triangular meshes defined on surfaces. The improvement is obtained by an iterative process in which each node of the mesh is moved to a new position that minimizes certain objective function.
Escobar, J. M.   +3 more
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A new mesh smoothing method based on a neural network

Computational Mechanics, 2021
Yufei Guo   +5 more
semanticscholar   +1 more source

Field smoothing and adaptive mesh generation

IEEE Transactions on Magnetics, 1993
A cheap smoothing process is described which both improves results from a standard first order solver and forms the basis of an effective adaptive solution system. The resulting system is demonstrated on several devices and is shown to develop accurate results in the presence of mixed media and with a very coarse starting discretization.
D.A. Lowther, R. Rong, B. Forghani
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Winslow Smoothing on Two-Dimensional Unstructured Meshes

Engineering with Computers, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Mesh Smoothing for Teaching GLSL Programming

2022
This paper shares ideas for effective assignment that can be used to introduce a number of advanced GLSL concepts including shader storage buffer objects, transform feedback, and compute shaders. The assignment is based on published research on mesh smoothing which serves as a motivating factor and offers a sense of accomplishment.
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