TY - JOUR
A1 - Hildebrandt, Klaus
A1 - Schulz, Christian
A1 - Tycowicz, Christoph von
A1 - Polthier, Konrad
T1 - Interactive surface modeling using modal analysis
T2 - ACM Transactions on Graphics
N2 - 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].
Y1 - 2011
UR - https://opus4.kobv.de/opus4-zib/frontdoor/index/index/docId/5480
VL - 30
IS - 5
SP - 119:1
EP - 119:11
ER -