A quadratic bending model for inextensible surfaces

Relating the intrinsic Laplacian to the mean curvature normal, we arrive at a model for bending of inextensible surfaces. Due to its constant Hessian, our isometric bending model reduces cloth simulation times up to three-fold.

[1]  Ulrich Pinkall,et al.  Computing Discrete Minimal Surfaces and Their Conjugates , 1993, Exp. Math..

[2]  Peter Schröder,et al.  Discrete Willmore flow , 2005, SIGGRAPH Courses.

[3]  Joseph S. B. Mitchell,et al.  Efficient Collision Detection Using Bounding Volume Hierarchies of k-DOPs , 1998, IEEE Trans. Vis. Comput. Graph..

[4]  John C. Platt,et al.  Elastically deformable models , 1987, SIGGRAPH.

[5]  Konrad Polthier,et al.  Anisotropic Filtering of Non‐Linear Surface Features , 2004, Comput. Graph. Forum.

[6]  Kwang-Jin Choi,et al.  Research problems in clothing simulation , 2005, Comput. Aided Des..

[7]  J. Z. Zhu,et al.  The finite element method , 1977 .

[8]  Eitan Grinspun,et al.  Computing discrete shape operators on general meshes , 2006, Comput. Graph. Forum.

[9]  Ronald Fedkiw,et al.  Simulation of clothing with folds and wrinkles , 2003, SCA '03.

[10]  Shin Yoshizawa,et al.  Fair triangle mesh generation with discrete elastica , 2002, Geometric Modeling and Processing. Theory and Applications. GMP 2002. Proceedings.

[11]  Mathieu Desbrun,et al.  Discrete shells , 2003, SCA '03.

[12]  B. Thomaszewski,et al.  Bending Models for Thin Flexible Objects , 2006 .

[13]  Eitan Grinspun,et al.  Discrete quadratic curvature energies , 2007, Comput. Aided Geom. Des..

[14]  Nadia Magnenat-Thalmann,et al.  From early draping to haute couture models: 20 years of research , 2005, The Visual Computer.

[15]  Andrew P. Witkin,et al.  Large steps in cloth simulation , 1998, SIGGRAPH.

[16]  S B MitchellJoseph,et al.  Efficient Collision Detection Using Bounding Volume Hierarchies of k-DOPs , 1998 .

[17]  Michael Hauth,et al.  Visual simulation of deformable models , 2004 .

[18]  Martin Rumpf,et al.  A finite element method for surface restoration with smooth boundary conditions , 2004, Comput. Aided Geom. Des..

[19]  David Cohen-Steiner,et al.  Restricted delaunay triangulations and normal cycle , 2003, SCG '03.

[20]  R. Taylor.  The Finite Element Method, the Basis , 2000 .

[21]  William Gropp,et al.  PETSc 2.0 users manual , 2000 .

[22]  Eitan Grinspun,et al.  Discrete quadratic curvature energies , 2006, Comput. Aided Geom. Des..

[23]  Richard L. Grimsdale,et al.  Computer graphics techniques for modeling cloth , 1996, IEEE Computer Graphics and Applications.

[24]  Ronald Fedkiw,et al.  Robust treatment of collisions, contact and friction for cloth animation , 2002, SIGGRAPH Courses.