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Abstract: We address the general problem of, given a triangular net of arbitrary topology in IR 3 , find a refined net which contains the original vertices and yields an improved approximation of a smooth and fair interpolating surface. The (topological) mesh refinement is performed by uniform subdivision of the original triangles while the (geometric) position of the newly inserted vertices is determined by variational methods, i.e., by the minimization of a functional measuring a discrete... (Update)
Cited by: More
Eurographics Symposium on Point-Based Graphics (2004) - Alexa Rusinkiewicz Editors (Correct)
Generating Fair Meshes with G¹ Boundary Conditions - Schneider, Kobbelt (Correct)
Discrete Surface Modeling using Geometric Flows - Xu, Pan, Bajaj (2003) (Correct)
Active bibliography (related documents): More All
0.3: A Variational Approach to Subdivision - Kobbelt (1995) (Correct)
0.2: Discrete Fairing and Variational Subdivision for Freeform Surface .. - Kobbelt (2000) (Correct)
0.2: Selected Applications - Paulus (Correct)
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0.3: A Multiresolution Framework for Variational Subdivision - Kobbelt, Schröder (1998) (Correct)
0.3: Improved Bi-Laplacian Mesh Fairing - Schneider, Kobbelt, Seidel (Correct)
0.1: On Geometric Evolution and Cascadic Multigrid in Subdivision - Diewald, Morigi, Rumpf (Correct)
Related documents from co-citation: More All
21: A Signal Processing Approach to Fair Surface Design - Taubin - 1995
17: Interactive multiresolution modeling of arbitrary meshes - Kobbelt, Campagna et al. - 1998
14: Implicit Fairing of Irregular Meshes using Diffusion and Curvature Flow - DESBRUN, MEYER et al. - 1999
BibTeX entry: (Update)
Leif Kobbelt. Discrete Fairing. In Proc. of the 7th IMA Conf. on the Mathematics of Surfaces, 1997. http://citeseer.ist.psu.edu/kobbelt97discrete.html More
@inproceedings{ kobbeltkobbeltdiscrete,
author = "L. Kobbelt",
title = "Discrete fairing",
pages = "101--130",
url = "citeseer.ist.psu.edu/kobbelt97discrete.html" }
Citations (may not include all citations):408 Multi-Grid Methods and Applications (context) - Hackbusch - 1985
145 A Butterfly Subdivision Scheme for Surface Interpolation wit.. (context) - Dyn, Gregory et al. - 1990
98 Deformable curve and surface finite elements for free-form s.. (context) - Celniker, Gossard - 1991
96 Splines minimizing rotation invariant semi-norms in Sobolev .. (context) - Duchon - 1979
93 Interpolating Subdivision for Meshes with Arbitrary Topology - Zorin, Schroder et al. - 1996
80 Functional Optimization for Fair Surface Design (context) - Moreton, S'equin - 1992
48 Interpolatory Subdivision on Open Quadrilateral Nets with Ar.. - Kobbelt - 1996
31 Variational design and Fairing of Spline Surfaces (context) - Greiner - 1994
27 A Variational Approach to Subdivision - Kobbelt - 1996
16 Designing Fair Curves and Surfaces (context) - ed - 1994
13 Iterative Losung großer schwach besetzter Gleichungssysteme (context) - Hackbusch - 1991
12 Efficient Fair Interpolation Using Catmull-Clark Surfaces - Halstead, Kass et al. - 1993
10 Data Dependent Thin Plate Energy and its Use in Interactive .. (context) - Greiner, Loos et al. - 1996
1 Teubner Verlag Stuttgart (context) - Elsgolc - 1970
1 The Uniform Convergence of Thin Plate Interpolation in Two D.. (context) - Powell - 1994
The graph only includes citing articles where the year of publication is known.
Documents on the same site (http://www9.informatik.uni-erlangen.de/~kobbelt/publist.html): More
Density Estimation on Delaunay Triangulations - Kobbelt, Stamminger, Seidel (Correct)
A General Framework for Mesh Decimation - Kobbelt, Campagna, Seidel (1998) (Correct)
Variational Design with Parametric Meshes of Arbitrary Topology - Kobbelt (1997) (Correct)
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