MSIM 842 VISUALIZATION II INSTRUCTOR: JESSICA R. CROUCH

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Presentation transcript:

MSIM 842 VISUALIZATION II INSTRUCTOR: JESSICA R. CROUCH Deriving a Particle System from Continuum Mechanics for the Animation of Deformable Objects Authors: Olaf Etzmuss Joachim Gross Wolfgang Strasser Presented By: Federico Bermudez 28 Mar 2007 MSIM 842 VISUALIZATION II INSTRUCTOR: JESSICA R. CROUCH

MSIM 842 VISUALIZATION II INSTRUCTOR: JESSICA R. CROUCH PROBLEM Establish a link between discrete models and classical mathematical elasticity. Derive a particle system model from a continuum model. Assess the accuracy of the particle model. 28 Mar 2007 MSIM 842 VISUALIZATION II INSTRUCTOR: JESSICA R. CROUCH

MSIM 842 VISUALIZATION II INSTRUCTOR: JESSICA R. CROUCH MOTIVATION Develop fast computational models of deformable objects. Create computer animations of highly flexible materials such as cloth or textiles. 28 Mar 2007 MSIM 842 VISUALIZATION II INSTRUCTOR: JESSICA R. CROUCH

MSIM 842 VISUALIZATION II INSTRUCTOR: JESSICA R. CROUCH APPROACH Linear Elasticity 28 Mar 2007 MSIM 842 VISUALIZATION II INSTRUCTOR: JESSICA R. CROUCH

Linear Elasticity - discretize APPROACH Linear Elasticity - discretize Unit Tangent Vector Unit Tangent Vector Sampled Points arc-length curvature l 28 Mar 2007 MSIM 842 VISUALIZATION II INSTRUCTOR: JESSICA R. CROUCH 5

MSIM 842 VISUALIZATION II INSTRUCTOR: JESSICA R. CROUCH APPROACH 28 Mar 2007 MSIM 842 VISUALIZATION II INSTRUCTOR: JESSICA R. CROUCH

MSIM 842 VISUALIZATION II INSTRUCTOR: JESSICA R. CROUCH APPROACH 28 Mar 2007 MSIM 842 VISUALIZATION II INSTRUCTOR: JESSICA R. CROUCH

MSIM 842 VISUALIZATION II INSTRUCTOR: JESSICA R. CROUCH APPROACH 28 Mar 2007 MSIM 842 VISUALIZATION II INSTRUCTOR: JESSICA R. CROUCH 8

MSIM 842 VISUALIZATION II INSTRUCTOR: JESSICA R. CROUCH APPROACH 28 Mar 2007 MSIM 842 VISUALIZATION II INSTRUCTOR: JESSICA R. CROUCH 9

MSIM 842 VISUALIZATION II INSTRUCTOR: JESSICA R. CROUCH APPROACH Trousers and sweater -- 5,000 particles. Generated by a quadrilateralization Keeping the angles close to 90 degrees. Dress has 3,200 particles. The computation of 10s simulation time --- takes approximately 190s 28 Mar 2007 MSIM 842 VISUALIZATION II INSTRUCTOR: JESSICA R. CROUCH

MSIM 842 VISUALIZATION II INSTRUCTOR: JESSICA R. CROUCH APPROACH 28 Mar 2007 MSIM 842 VISUALIZATION II INSTRUCTOR: JESSICA R. CROUCH

MSIM 842 VISUALIZATION II INSTRUCTOR: JESSICA R. CROUCH APPROACH area force 28 Mar 2007 MSIM 842 VISUALIZATION II INSTRUCTOR: JESSICA R. CROUCH

MSIM 842 VISUALIZATION II INSTRUCTOR: JESSICA R. CROUCH APPROACH area force 28 Mar 2007 MSIM 842 VISUALIZATION II INSTRUCTOR: JESSICA R. CROUCH

MSIM 842 VISUALIZATION II INSTRUCTOR: JESSICA R. CROUCH APPROACH area force 28 Mar 2007 MSIM 842 VISUALIZATION II INSTRUCTOR: JESSICA R. CROUCH

MSIM 842 VISUALIZATION II INSTRUCTOR: JESSICA R. CROUCH APPROACH hanging textile sheared textile 28 Mar 2007 MSIM 842 VISUALIZATION II INSTRUCTOR: JESSICA R. CROUCH

MSIM 842 VISUALIZATION II INSTRUCTOR: JESSICA R. CROUCH APPROACH hanging textile with bend forces 28 Mar 2007 MSIM 842 VISUALIZATION II INSTRUCTOR: JESSICA R. CROUCH

MSIM 842 VISUALIZATION II INSTRUCTOR: JESSICA R. CROUCH Evaluation Successfully show the link between discrete and continuum models. Successfully demonstrated the deviation of a particle system from a continuum model. Successfully presented how discretization affects the models accuracy. 28 Mar 2007 MSIM 842 VISUALIZATION II INSTRUCTOR: JESSICA R. CROUCH

Conclusion & Future Work A particle system model can be derived from continuum mechanics by Linearization Local frame of reference Successive finite difference discretization. The model is sufficiently accurate for fast animation of highly deformable objects. Future work will focus on matching triangular meshes with continuous models. 28 Mar 2007 MSIM 842 VISUALIZATION II INSTRUCTOR: JESSICA R. CROUCH

MSIM 842 VISUALIZATION II INSTRUCTOR: JESSICA R. CROUCH Questions Can this method be applied to model biological organs? Is this technique useful only for animations of cloth or textiles? 28 Mar 2007 MSIM 842 VISUALIZATION II INSTRUCTOR: JESSICA R. CROUCH