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Author, Editor(s)

Author(s):

Ohtake, Yutaka
Belyaev, Alexander
Alexa, Marc
Turk, Greg
Seidel, Hans-Peter

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Not MPG Author(s):

Alexa, Marc
Turk, Greg

BibTeX cite key*:

sig03obats

Title

Title*:

Multi-level Partition of Unity Implicits

Journal

Journal Title*:

ACM Transactions on Graphics

Journal's URL:

http://www.acm.org/tog/

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for the article:


Language:

English

Publisher

Publisher's
Name:

ACM

Publisher's URL:


Publisher's
Address:

New York, USA

ISSN:


Vol, No, pp, Date

Volume*:

22

Number:

3

Publishing Date:

July 2003

Pages*:

463-470

Number of
VG Pages:


Page Start:


Page End:


Sequence Number:


DOI:


Note, Abstract, ©

Note:

(Proc. ACM SIGGRAPH ' 03)

(LaTeX) Abstract:

We present a shape representation, the {\em multi-level partition of unity}
implicit surface, that allows us to construct surface models from
very large sets of points. There are three key ingredients
to our approach: 1) piecewise quadratic functions that capture
the local shape of the surface, 2) weighting functions (the
partitions of unity) that blend together these local shape functions,
and 3) an octree subdivision method that adapts to variations in
the complexity of the local shape.

Our approach gives us considerable flexibility in the choice of local
shape functions, and in particular we can accurately represent sharp
features such as edges and corners by selecting appropriate shape
functions. An error-controlled subdivision leads to an adaptive approximation
whose time and memory consumption depends on the required accuracy.
Due to the separation of local approximation and local blending,
the representation is not global
and can be created and evaluated rapidly.Because our surfaces are
described using implicit functions, operations such as shape blending,
offsets, deformations and CSG are simple to perform.

URL for the Abstract:


Categories,
Keywords:


HyperLinks / References / URLs:


Copyright Message:


Personal Comments:


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Access Level:

Intranet

Correlation

MPG Unit:

Max-Planck-Institut für Informatik



MPG Subunit:

Computer Graphics Group

Audience:

popular

Appearance:

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BibTeX Entry:

@ARTICLE{sig03obats,
AUTHOR = {Ohtake, Yutaka and Belyaev, Alexander and Alexa, Marc and Turk, Greg and Seidel, Hans-Peter},
TITLE = {Multi-level Partition of Unity Implicits},
JOURNAL = {ACM Transactions on Graphics},
PUBLISHER = {ACM},
YEAR = {2003},
NUMBER = {3},
VOLUME = {22},
PAGES = {463--470},
ADDRESS = {New York, USA},
MONTH = {July},
NOTE = {(Proc. ACM SIGGRAPH ' 03)},
}


Entry last modified by Alexander Belyaev, 03/12/2010
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Editor(s)
Alexander Belyaev
Created
03/24/2003 08:09:59 PM
Revisions
6.
5.
4.
3.
2.
Editor(s)
Alexander Belyaev
Sabine Budde
Christine Kiesel
Alexander Belyaev
Alexander Belyaev
Edit Dates
03/10/2005 07:16:35 PM
21.02.2005 16:44:40
30.06.2004 11:23:44
01/12/2004 10:53:17 AM
10.04.2003 11:39:54