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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
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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

Edit History (please click the blue arrow to see the details)

	Editor(s) [Library]	Created 01/26/2010 02:34:05 PM
Revisions 6. 5. 4. 3. 2.	Editor(s) Anja Becker Anja Becker Anja Becker Art Tevs Art Tevs	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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