Interactive surface modeling using modal analysis

  • 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].

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Metadaten
Author:Klaus Hildebrandt, Christian Schulz, Christoph von Tycowicz, Konrad Polthier
Document Type:Article
Parent Title (English):ACM Transactions on Graphics
Volume:30
Issue:5
First Page:119:1
Last Page:119:11
Year of first publication:2011
DOI:https://doi.org/10.1145/2019627.2019638