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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.