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A volumetric approach to interactive shape editing

Stoll, Carsten and de Aguiar, Edilson and Theobalt, Christian and Seidel, Hans-Peter

June 2007, 28 pages.

Status: available - back from printing

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.

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  AUTHOR = {Stoll, Carsten and de Aguiar, Edilson and Theobalt, Christian and Seidel, Hans-Peter},
  TITLE = {A volumetric approach to interactive shape editing},
  TYPE = {Research Report},
  INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
  ADDRESS = {Stuhlsatzenhausweg 85, 66123 Saarbr{\"u}cken, Germany},
  NUMBER = {MPI-I-2007-4-004},
  MONTH = {June},
  YEAR = {2007},
  ISSN = {0946-011X},