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Analysis of Energy Regularization for Harmonic Surface Deformation

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http://pubman.mpdl.mpg.de/cone/persons/resource/persons101808

Kozlov,  Yeara
Computer Graphics, MPI for Informatics, Max Planck Society;

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Kozlov, Y. (2014). Analysis of Energy Regularization for Harmonic Surface Deformation. Master Thesis, Universität des Saarlandes, Saarbrücken.


Cite as: http://hdl.handle.net/11858/00-001M-0000-001A-34CB-9
Abstract
Recently it has been shown that regularization can be beneficial for a variety of geometry processing methods on discretized domains. Linear energy regularization, proposed by Martinez Esturo et al. [MRT14], creates a global, linear regularization term which is strongly coupled with the deformation energy. It can be computed interactively, with little impact on runtime. This work analyzes the effects of linear energy regularization on harmonic surface deformation, proposed by Zayer et al. [ZRKS05]. Harmonic surface deformation is a variational technique for gradient domain surface manipulation. This work demonstrate that linear energy regularization can overcome some of the inherent limitations associated with this technique, can effectively reduce common artifacts associated with this method, eliminating the need for costly non-linear regularization, and expanding the modeling capabilities for harmonic surface deformation.