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Reconstruction and Representation of 3D Objects with Radial Basis Functions (2001)  (Make Corrections)  (60 citations)
J. C. Carr, R. K. Beatson, J. B. Cherrie, T. J. Mitchell, W. R. Fright, B. C. McCallum, T. R. Evans
SIGGRAPH 2001, Computer Graphics Proceedings



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Abstract: 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 allow us to model large data sets, consisting of millions of surface points, by a single RBF---previously an impossible task. A greedy algorithm in the fitting process reduces the number of RBF centers... (Update)

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BibTeX entry:   (Update)

J.C. Carr, R.K. Beatson, J.B. Cherrie, T.J. Mitchell, W.R. Fright, B.C. McCallum and T.R. Evans, Reconstruction and representation of 3D objects with radial basis functions , (a) (b) (c) Computer Graphics Proceedings, Annual Conference Series, August 2001, pp. 67-76. http://citeseer.ist.psu.edu/carr01reconstruction.html   More

@inproceedings{ carr01reconstruction,
    author = "Jonathan C. Carr and Richard K. Beatson and Jon B. Cherrie and Tim J. Mitchell and W. Richard Fright and Bruce C. McCallum and Tim R. Evans",
    title = "Reconstruction and Representation of 3{D} Objects With Radial Basis Functions",
    booktitle = "{SIGGRAPH} 2001, Computer Graphics Proceedings",
    publisher = "ACM Press / ACM SIGGRAPH",
    editor = "Eugene Fiume",
    pages = "67--76",
    year = "2001",
    url = "citeseer.ist.psu.edu/carr01reconstruction.html" }
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20   Numerical procedures for surface fitting of scattered data b.. (context) - Dyn, Levin et al. - 1986
18   Fast evaluation of radial basis functions: Methods for two-d.. (context) - Beatson, Light - 1997
18   Variational implicit surfaces - Turk, O'Brien - 1999
16   Surface interpolation with radial basis functions for medica.. - Carr, Fright et al. - 1997
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9   Fast evaluation of radial basis functions: Methods for 3-dim.. (context) - Beatson, Tan et al.
9   Fast solution of the radial basis function interpolation equ.. (context) - Beatson, Light et al. - 2000
9   Computation of thin-plate splines (context) - Sibson, Stone - 1991
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4   Fast evaluation of radial basis functions: Methods for four-.. (context) - Beatson, Cherrie et al. - 2001
4   Fast fitting of radial basis functions: Methods based on pre.. (context) - Beatson, Cherrie et al. - 1999
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2   ACM Transactions on Computer Graphics (context) - Bajaj, Chen et al. - 1995
1   Surface reconstuction from unorganized points (context) - Hoppe, DeRose et al. - 1992



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Documents on the same site (http://aranz.com/research/modelling/theory/):
Smooth Surface Reconstruction From Noisy Range Data - Carr Beatson Mccallum (2003)   (Correct)
Surface Interpolation With Radial Basis Functions for.. - Carr, Fright, Beatson (1997)   (Correct)

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