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Author, Editor(s)

Author(s):

Ohtake, Yutaka
Belyaev, Alexander
Seidel, Hans-Peter

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Not MPG Author(s):

Ohtake, Yutaka

BibTeX cite key*:

Ohtake-gmod05

Title

Title*:

3D scattered data interpolation and approximation with multilevel compactly supported RBFs

Journal

Journal Title*:

Graphical Models

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Language:

English

Publisher

Publisher's
Name:

Elsevier

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Address:


ISSN:


Vol, No, pp, Date

Volume*:

67

Number:

3

Publishing Date:

2005

Pages*:

150-165

Number of
VG Pages:


Page Start:


Page End:


Sequence Number:


DOI:


Note, Abstract, ©

Note:


(LaTeX) Abstract:

In this paper, we propose a hierarchical approach to 3D scattered data interpolation and approximation with compactly supported radial basis functions. Our numerical experiments suggest that the approach integrates the best aspects of scattered data fitting with locally and globally supported basis functions. Employing locally supported functions leads to an efficient computational procedure, while a coarse-to-fine hierarchy makes our method insensitive to the density of scattered data and allows us to restore large parts of missed data. Given a point cloud distributed over a surface, we first use spatial down sampling to construct a coarse-to-fine hierarchy of point sets. Then we interpolate (approximate) the sets starting from the coarsest level. We interpolate (approximate) a point set of the hierarchy, as an offsetting of the interpolating function computed at the previous level. The resulting fitting procedure is fast, memory efficient, and easy to implement.

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MPG Unit:

Max-Planck-Institut für Informatik



MPG Subunit:

Computer Graphics Group

Audience:

experts only

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BibTeX Entry:

@ARTICLE{Ohtake-gmod05,
AUTHOR = {Ohtake, Yutaka and Belyaev, Alexander and Seidel, Hans-Peter},
TITLE = {3D scattered data interpolation and approximation with multilevel compactly supported RBFs},
JOURNAL = {Graphical Models},
PUBLISHER = {Elsevier},
YEAR = {2005},
NUMBER = {3},
VOLUME = {67},
PAGES = {150--165},
}


Entry last modified by Alexander Belyaev, 03/09/2007
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Editor(s)
Alexander Belyaev
Created
03/09/2007 11:01:04 AM
Revision
0.



Editor
Alexander Belyaev



Edit Date
03/09/2007 11:01:04 AM