dc.contributor.author	Zayer, Rhaleb	en_US
dc.contributor.author	Levy, Bruno	en_US
dc.contributor.author	Seidel, Hans-Peter	en_US
dc.contributor.editor	Alexander Belyaev and Michael Garland	en_US
dc.date.accessioned	2014-01-29T09:43:11Z
dc.date.available	2014-01-29T09:43:11Z
dc.date.issued	2007	en_US
dc.description.abstract	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.	en_US
dc.description.seriesinformation	Geometry Processing	en_US
dc.identifier.isbn	978-3-905673-46-3	en_US
dc.identifier.issn	1727-8384	en_US
dc.identifier.uri	https://doi.org/10.2312/SGP/SGP07/135-141	en_US
dc.publisher	The Eurographics Association	en_US
dc.title	Linear Angle Based Parameterization	en_US

Linear Angle Based Parameterization

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