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2008

A genus oblivious approach to cross parameterization

11 years 10 months ago
A genus oblivious approach to cross parameterization
In this paper we present a robust approach to construct a map between two triangulated meshes, M and M' of arbitrary and possibly unequal genus. We introduce a novel initial alignment scheme that allows the user to identify "landmark tunnels" and/or a "constrained silhouette" in addition to the standard landmark vertices. To describe the evolution of non-landmark tunnels we automatically derive a continuous deformation from M to M' using a variational implicit approach. Overall, we achieve a cross parameterization scheme that is provably robust in the sense that it can map M to M' without constraints on their relative genus. We provide a number of examples to demonstrate the practical effectiveness of our scheme between meshes of different genus and shape. Key words: Cross Parameterization, Morphing, Morse Theory, Genus Reduction
Janine Bennett, Valerio Pascucci, Kenneth I. Joy
Added 09 Dec 2010
Updated 09 Dec 2010
Type Journal
Year 2008
Where CAGD
Authors Janine Bennett, Valerio Pascucci, Kenneth I. Joy
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