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Author, Editor(s)

Author(s):

Lipman, Yaron
Sorkine, Olga
Alexa, Marc
Cohen-Or, Daniel
Levin, David
Rössl, Christian
Seidel, Hans-Peter

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Not MPG Author(s):

Lipman, Yaron
Sorkine, Olga
Alexa, Marc
Cohen-Or, Daniel
Levin, David

BibTeX cite key*:

lsaclrs:2005

Title

Title*:

Laplacian Framework for Interactive Mesh Editing

Journal

Journal Title*:

International Journal of Shape Modeling

Journal's URL:

http://journals.worldscientific.com.sg/ijsm/ijsm.shtml

Download URL
for the article:

http://www.worldscinet.com/ijsm/11/1101/S0218654305000724.html

Language:

English

Publisher

Publisher's
Name:

World Scientific

Publisher's URL:

http://journals.worldscientific.com.sg

Publisher's
Address:


ISSN:

0218-6543

Vol, No, pp, Date

Volume*:

11

Number:

1

Publishing Date:

2005

Pages*:

43-61

Number of
VG Pages:

30

Page Start:


Page End:


Sequence Number:


DOI:


Note, Abstract, ©

Note:


(LaTeX) Abstract:

Recent works in geometric modeling show the advantage of local differential coordinates in various surface processing applications. In this paper we review recent methods that advocate surface representation via differential coordinates as a basis to interactive mesh editing. One of the main challenges in editing a mesh is to retain the visual appearance of the surface after applying various modifications. The differential coordinates capture the local geometric details and therefore are a natural surface representation for editing applications. The coordinates are obtained by applying a linear operator to the mesh geometry. Given suitable deformation constraints, the mesh geometry is reconstructed from the differential representation by solving a sparse linear system. The differential coordinates are not rotation-invariant and thus their rotation must be explicitly handled in order to retain the correct orientation of the surface details. We review two methods for computing the local rotations: the first estimates them heuristically using a deformation which only preserves the underlying smooth surface, and the second estimates the rotations implicitly through a variational representation of the problem.

We show that the linear reconstruction system can be solved fast enough to guarantee interactive response time thanks to a precomputed factorization of the coefficient matrix. We demonstrate that this approach enables to edit complex meshes while retaining the shape of the details in their natural orientation.

URL for the Abstract:


Categories,
Keywords:


HyperLinks / References / URLs:


Copyright Message:


Personal Comments:


Download
Access Level:

Intranet

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:

@ARTICLE{lsaclrs:2005,
AUTHOR = {Lipman, Yaron and Sorkine, Olga and Alexa, Marc and Cohen-Or, Daniel and Levin, David and R{\"o}ssl, Christian and Seidel, Hans-Peter},
TITLE = {Laplacian Framework for Interactive Mesh Editing},
JOURNAL = {International Journal of Shape Modeling},
PUBLISHER = {World Scientific},
YEAR = {2005},
NUMBER = {1},
VOLUME = {11},
PAGES = {43--61},
ISBN = {0218-6543},
}


Entry last modified by Christine Kiesel, 01/13/2006
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Editor(s)
Christian Rössl
Created
07/29/2005 11:34:55 AM
Revision
1.
0.


Editor
Christine Kiesel
Christian Rössl


Edit Date
13.01.2006 15:02:48
07/29/2005 11:34:55 AM