Publication: Interactive Surface Modeling using Modal Analysis
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Interactive Surface Modeling using Modal Analysis

- Article in a journal -
 

Area
Optimization

Author(s)
Klaus Hildebrandt , Christian Schulz , Christoph von Tycowicz , Konrad Polthier

Published in
Transactions on Graphics

Year
2011

Publisher
ACM

Abstract
We propose a framework for deformation-based surface modeling that is interactive, robust and intuitive to use. The deformations are described by a non-linear optimization problem that models static states of elastic shapes under external forces which implement the user input. Interactive response is achieved by a combination of model reduction, a robust energy approximation, and an efficient quasi-Newton solver. Motivated by the observation that a typical modeling session requires only a fraction of the full shape space of the underlying model, we use second and third derivatives of a deformation energy to construct a low-dimensional shape space that forms the feasible set for the optimization. Based on mesh coarsening, we propose an energy approximation scheme with adjustable approximation quality. The quasi-Newton solver guarantees superlinear convergence without the need of costly Hessian evaluations during modeling. We demonstrate the effectiveness of the approach on different examples including the test suite introduced in [Botsch and Sorkine 2008].

AD Tools
ADOL-C

AD Theory and Techniques
Adjoint

BibTeX
@ARTICLE{
         Hildebrandt2011ISM,
       title = "Interactive Surface Modeling using Modal Analysis",
       author = "Klaus Hildebrandt, Christian Schulz, Christoph von Tycowicz, Konrad Polthier",
       publisher = "ACM",
       year = "2011",
       journal = "Transactions on Graphics",
       volume = "to appear",
       abstract = "We propose a framework for deformation-based surface modeling that is interactive,
         robust and intuitive to use. The deformations are described by a non-linear optimization problem
         that models static states of elastic shapes under external forces which implement the user input.
         Interactive response is achieved by a combination of model reduction, a robust energy approximation,
         and an efficient quasi-Newton solver. Motivated by the observation that a typical modeling session
         requires only a fraction of the full shape space of the underlying model, we use second and third
         derivatives of a deformation energy to construct a low-dimensional shape space that forms the
         feasible set for the optimization. Based on mesh coarsening, we propose an energy approximation
         scheme with adjustable approximation quality. The quasi-Newton solver guarantees superlinear
         convergence without the need of costly Hessian evaluations during modeling. We demonstrate the
         effectiveness of the approach on different examples including the test suite introduced in [Botsch
         and Sorkine 2008].",
       ad_area = "Optimization",
       ad_tools = "ADOL-C",
       ad_theotech = "Adjoint"
}


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