Phase Space Data-Driven Simulation of Elastic Materials

The use of data driven models in computer animation offers several benefits. We present an analysis of a regression model as a method to simulate cloth. In our approach, we generate data from a simple mass-spring system and we fit a regressor. Then, we assemble more complex mass-spring systems and use the learnt model to simulate them. To validate the approach we perform several tests. We analyze the elastic properties of a single learnt spring, measuring its stiffness coefficient, and compare it to the original, physics-based, model. We also build several test scenarios which include the simulation of a piece of cloth under gravity, comparing the regression model and the physics-based model. Finally we test the behaviour of the regression model for systems with high stiffness coefficient and compare its stability properties with a semi-implicit Euler integration method.

[1]  Byung-Uck Kim,et al.  A deformation transformer for real-time cloth animation , 2010, SIGGRAPH 2010.

[2]  Byung-Uck Kim,et al.  A deformation transformer for real-time cloth animation , 2010, ACM Trans. Graph..

[3]  M. Otaduy,et al.  Capture and modeling of non-linear heterogeneous soft tissue , 2009, ACM Trans. Graph..

[4]  Philip Fong.  Sensing, Acquisition, and Interactive Playback of Data-based Models for Elastic Deformable Objects , 2009, Int. J. Robotics Res..

[5]  Steve Marschner,et al.  Data‐Driven Estimation of Cloth Simulation Models , 2012, Comput. Graph. Forum.

[6]  Iker Aguinaga,et al.  Cubical Mass-Spring Model Design Based on a Tensile Deformation Test and Nonlinear Material Model , 2012, IEEE Transactions on Visualization and Computer Graphics.

[7]  James F. O'Brien,et al.  Near-exhaustive precomputation of secondary cloth effects , 2013, ACM Trans. Graph..

[8]  Huamin Wang,et al.  Data-driven elastic models for cloth: modeling and measurement , 2011, SIGGRAPH 2011.

[9]  Peter-Pike J. Sloan,et al.  Fast and Efficient Skinning of Animated Meshes , 2010, Comput. Graph. Forum.

[10]  Eric R. Ziegel,et al.  The Elements of Statistical Learning , 2003, Technometrics.

[11]  Matthias Harders,et al.  Data-Driven Simulation of Detailed Surface Deformations for Surgery Training Simulators , 2014, IEEE Transactions on Visualization and Computer Graphics.

[12]  Barbara Solenthaler,et al.  Data-driven fluid simulations using regression forests , 2015, ACM Trans. Graph..

[13]  Adam W. Bargteil,et al.  Physics-inspired upsampling for cloth simulation in games , 2011, SIGGRAPH 2011.

[14]  Huamin Wang,et al.  Data-driven simulation methods in computer graphics: cloth, tissue and faces , 2012, SIGGRAPH '12.

[15]  Matthias Harders,et al.  Enriching coarse interactive elastic objects with high-resolution data-driven deformations , 2012, SCA '12.

[16]  Peter-Pike J. Sloan,et al.  Physics-inspired upsampling for cloth simulation in games , 2011, ACM Trans. Graph..