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Author, Editor

Author(s):

Tevs, Art
Wand, Michael
Ihrke, Ivo
Seidel, Hans-Peter

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Editor(s):





BibTeX Citekey*:

TevsTechReport2009

Language:

English

Title, Institution

Title*:

A Bayesian Approach to Manifold Topology Reconstruction

Institution*:

Max Planck Institut für Informatik

Publishers or Institutions Address*:

Saarbrücken

Type:


No, Year, pp.,

Number*:

MPI-I-2009-4-002

Pages*:

23

Month:

January

VG Wort
Pages*:


Year*:

2010

ISBN/ISSN:

0946-011X





DOI:




Note, Abstract, ©

Note:


(LaTeX) Abstract:

In this paper, we investigate the problem of statistical reconstruction of piecewise linear manifold topology. Given a noisy, probably undersampled point cloud from a one- or two-manifold, the algorithm reconstructs an approximated most likely mesh in a Bayesian sense from which the sample might have been taken. We incorporate statistical priors on the object geometry to improve the reconstruction quality if additional knowledge about the class of original shapes is available. The priors can be formulated analytically or learned from example geometry with known manifold tessellation. The statistical objective function is approximated by a linear programming / integer programming problem, for which a globally optimal solution is found. We apply the algorithm to a set of 2D and 3D reconstruction examples, demon-strating that a statistics-based manifold reconstruction is feasible, and still yields plausible results in situations where sampling conditions are violated.

Categories / Keywords:

Surface reconstruction, topology reconstruction, machine learning and graphics, linear programming

Copyright Message:


HyperLinks / References / URLs:


Personal Comments:


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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:
@TECHREPORT{TevsTechReport2009,
AUTHOR = {Tevs, Art and Wand, Michael and Ihrke, Ivo and Seidel, Hans-Peter},
TITLE = {A {Bayesian} Approach to Manifold Topology Reconstruction},
YEAR = {2010},
INSTITUTION = {Max Planck Institut für Informatik},
NUMBER = {MPI-I-2009-4-002},
PAGES = {23},
ADDRESS = {Saarbr{\"u}cken},
MONTH = {January},
ISBN = {0946-011X},
}


Entry last modified by Anja Becker, 01/27/2011
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Created
01/26/2010 02:34:05 PM
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Editor(s)
Anja Becker
Anja Becker
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Art Tevs
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Edit Dates
27.01.2011 15:53:45
27.01.2011 15:52:14
27.01.2011 15:51:12
02/09/2010 11:25:04 AM
01/26/2010 03:26:00 PM
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