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  Linear Angle Based Parameterization

Zayer, R., Lévy, B., & Seidel, H.-P. (2007). Linear Angle Based Parameterization. In D. Fellner, & S. Spencer (Eds.), SGP 2007 (pp. 135-141). Aire-la-Ville, Switzerland: Eurographics Association. doi:10.2312/SGP/SGP07/135-141.

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Datensatz-Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-1FB6-E Versions-Permalink: https://hdl.handle.net/21.11116/0000-000E-2E16-7
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The current file is a preliminary version of the article. Please find the definite version in the proceedings of the ACM/EG Symposium on Geometry Processing 2007 (SGP '07). The definite electronic version is available online at diglib.eg.org.
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Urheber

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 Urheber:
Zayer, Rhaleb1, Autor           
Lévy, Bruno2, Autor
Seidel, Hans-Peter1, Autor                 
Affiliations:
1Computer Graphics, MPI for Informatics, Max Planck Society, ou_40047              
2External Organizations, ou_persistent22              

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Schlagwörter: -
 Zusammenfassung: In the field of mesh parameterization, the impact of angular and boundary distortion on parameterization quality have brought forward the need for robust and efficient free boundary angle preserving methods. One of the most prominent approaches in this direction is the Angle Based Flattening (ABF) which directly formulates the problem as a constrained nonlinear optimization in terms of angles. Since the original formulation of the ABF, a steady research effort has been dedicated to improving its efficiency. As for any well posed numerical problem, the solution is generally an approximation of the underlying mathematical equations. The economy and accuracy of the solution are to a great extent affected by the kind of approximation used. In this work we reformulate the problem based on the notion of error of estimation. A careful manipulation of the resulting equations yields for the first time a linear version of angle based parameterization. The error induced by this linearization is quadratic in terms of the error in angles and the validity of the approximation is further supported by numerical results. Besides performance speedup, the simplicity of the current setup makes re-implementation and reproduction of our results straightforward.

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Sprache(n): eng - English
 Datum: 2008-03-1420072007
 Publikationsstatus: Erschienen
 Seiten: -
 Ort, Verlag, Ausgabe: -
 Inhaltsverzeichnis: -
 Art der Begutachtung: -
 Identifikatoren: eDoc: 356557
DOI: 10.2312/SGP/SGP07/135-141
Anderer: Local-ID: C12573CC004A8E26-D8DFAA1EB1922B82C12572F4003CDE39-zls:linabp:07
BibTex Citekey: zls:linabp:07
 Art des Abschluß: -

Veranstaltung

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Titel: Fifth Eurographics Symposium on Geometry Processing
Veranstaltungsort: Barcelona, Spain
Start-/Enddatum: 2007-07-04 - 2007-07-06

Entscheidung

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Quelle 1

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Titel: SGP 2007
  Kurztitel : SGP 2007
  Untertitel : Symposium on Geometry Processing 2007 ; Fifth Eurographics Symposium on Geometry Processing ; Barcelona, Spain, July 04 – 06, 2007
Genre der Quelle: Konferenzband
 Urheber:
Fellner, Dieter, Herausgeber
Spencer, Stephen, Herausgeber
Affiliations:
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Ort, Verlag, Ausgabe: Aire-la-Ville, Switzerland : Eurographics Association
Seiten: - Band / Heft: - Artikelnummer: - Start- / Endseite: 135 - 141 Identifikator: ISBN: 978-3-905673-46-3