“Simulating Cloth Using Bilinear Elements” by Schweickart and Zhai

  • ©Eston Schweickart and Xiao Zhai



Entry Number: 49


    Simulating Cloth Using Bilinear Elements



    The most widely used cloth simulation algorithms within the computer graphics community are defined exclusively for triangle meshes. However, assets used in production are often made up of non-planar quadrilaterals. Dividing these elements into triangles and then mapping the displacements back to the original mesh results in faceting and tent-like artifacts when quadrilaterals are rendered as bilinear patches. We propose a method to simulate cloth dynamics on quadrilateral meshes directly, drawing on the well studied Koiter thin sheet model [Koiter 1960] to define consistent elastic energies for linear and bilinear elements. The algorithm elides the need for artifact-prone geometric mapping, and has computation times similar to its fully triangular counterpart.


    David E Breen, Donald H House, and Michael J Wozny. 1994. Predicting the drape of woven cloth using interacting particles. In Proceedings of the 21st annual conference on Computer graphics and interactive techniques. 365–372.

    Ke-Yang Dai, Gui-Rong Liu, and Thoi-Trung Nguyen. 2007. An n-sided polygonal smoothed finite element method (nSFEM) for solid mechanics. Finite elements in analysis and design 43, 11-12 (2007), 847–860.

    Fernando De Goes, Andrew Butts, and Mathieu Desbrun. 2020. Discrete differential operators on polygonal meshes. ACM Transactions on Graphics (TOG) 39, 4 (2020), 110–1.

    Friedrich Gruttmann and Werner Wagner. 2005. A linear quadrilateral shell element with fast stiffness computation. Computer Methods in Applied Mechanics and Engineering 194, 39-41 (2005), 4279–4300.

    WT Koiter. 1960. A consistent first approximation in the general theory of thin elastic shells. The theory of thin elastic shells (1960), 12–33.

    Pascal Volino, Nadia Magnenat-Thalmann, and Francois Faure. 2009. A simple approach to nonlinear tensile stiffness for accurate cloth simulation. ACM Transactions on Graphics 28, 4, Article 105 (2009).

    Denis Zorin. 2005. Curvature-based energy for simulation and variational modeling. In International Conference on Shape Modeling and Applications 2005 (SMI’05). IEEE, 196–204.



    We would like to thank the Simulation department and leadership at Weta Digital for their support.


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