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Abstract:
We present a novel approach to real-time shape editing that produces
physically plausible deformations using an efficient and
easy-to-implement volumetric approach. Our algorithm alternates between
a linear tetrahedral Laplacian deformation step and a differential
update in which rotational transformations are approximated. By means of
this iterative process we can achieve non-linear deformation results
while having to solve only linear equation systems. The differential
update step relies on estimating the rotational component of the
deformation relative to the rest pose. This makes the method very stable
as the shape can be reverted to its rest pose even after extreme
deformations. Only a few point handles or area handles imposing
an orientation are needed to achieve high quality deformations, which
makes the approach intuitive to use. We show that our technique is well
suited for interactive shape manipulation and also provides an elegant
way to animate models with captured motion data.
