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Author, Editor

Author(s):

Ohtake, Yutaka
Belyaev, Alexander
Seidel, Hans-Peter

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Editor(s):

Kim, Myung-Soo

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BibTeX cite key*:

smi03obs

Title, Booktitle

Title*:

A Multi-scale Approach to 3D Scattered Data Interpolation with Compactly Supported Basis Functions

Booktitle*:

Shape Modeling International 2003 (SMI 2003)

Event, URLs

URL of the conference:

http://cgvr.korea.ac.kr/SMI2003/

URL for downloading the paper:


Event Address*:

Seoul, Korea

Language:

English

Event Date*
(no longer used):

12-16 May 2003

Organization:


Event Start Date:

12 January 2004

Event End Date:

12 January 2004

Publisher

Name*:

IEEE

URL:


Address*:

Los Alamitos, USA

Type:


Vol, No, Year, pp.

Series:


Volume:


Number:


Month:

May

Pages:

153-161

Year*:

2003

VG Wort Pages:


ISBN/ISSN:


Sequence Number:


DOI:




Note, Abstract, ©


(LaTeX) Abstract:

In this paper, we propose a hierarchical approach to 3D scattered
data interpolation with compactly supported 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 along a surface, we first use
spatial down sampling to construct a coarse-to-fine hierarchy
of point sets. Then we interpolate the sets starting from the
coarsest level. We interpolate a point set of the hierarchy,
as an offsetting of the interpolating function computed at
the previous level. Fig.\,\ref{risu_multi} shows an original
point set (the leftmost image) and its coarse-to-fine hierarchy
of interpolated sets.

According to our numerical experiments, the method
is essentially faster than the state-of-art scattered data
approximation with globally supported RBFs \cite{rbf}
and much simpler to implement.



Download
Access Level:

Public

Correlation

MPG Unit:

Max-Planck-Institut für Informatik



MPG Subunit:

Computer Graphics Group

Appearance:

MPII WWW Server, MPII FTP Server, MPG publications list, university publications list, working group publication list, Fachbeirat, VG Wort



BibTeX Entry:

@INPROCEEDINGS{smi03obs,
AUTHOR = {Ohtake, Yutaka and Belyaev, Alexander and Seidel, Hans-Peter},
EDITOR = {Kim, Myung-Soo},
TITLE = {A Multi-scale Approach to 3D Scattered Data Interpolation with Compactly Supported Basis Functions},
BOOKTITLE = {Shape Modeling International 2003 (SMI 2003)},
PUBLISHER = {IEEE},
YEAR = {2003},
PAGES = {153--161},
ADDRESS = {Seoul, Korea},
MONTH = {May},
}


Entry last modified by Christine Kiesel, 03/12/2010
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Editor(s)
Alexander Belyaev
Created
01/23/2003 08:40:16 PM
Revisions
8.
7.
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5.
4.
Editor(s)
Christine Kiesel
Yutaka Ohtake
Alexander Belyaev
Alexander Belyaev
Alexander Belyaev
Edit Dates
30.06.2004 13:26:12
2004/01/12 21:06:22
01/12/2004 11:12:01 AM
03/24/2003 08:52:56 PM
03/24/2003 08:19:02 PM
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