Numerical recipes in C (2nd ed.): the art of scientific computing
Numerical recipes in C (2nd ed.): the art of scientific computing
Predicting the drape of woven cloth using interacting particles
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Large steps in cloth simulation
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Graphical modeling and animation of brittle fracture
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Convergence behaviour of inexact Newton methods
Mathematics of Computation
Modeling inelastic deformation: viscolelasticity, plasticity, fracture
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Simulation of clothing with folds and wrinkles
Proceedings of the 2003 ACM SIGGRAPH/Eurographics symposium on Computer animation
Proceedings of the 2003 ACM SIGGRAPH/Eurographics symposium on Computer animation
A virtual node algorithm for changing mesh topology during simulation
ACM SIGGRAPH 2004 Papers
Simple linear bending stiffness in particle systems
Proceedings of the 2006 ACM SIGGRAPH/Eurographics symposium on Computer animation
A quadratic bending model for inextensible surfaces
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Discrete quadratic curvature energies
Computer Aided Geometric Design
Harmonic shells: a practical nonlinear sound model for near-rigid thin shells
ACM SIGGRAPH Asia 2009 papers
Efficient yarn-based cloth with adaptive contact linearization
ACM SIGGRAPH 2010 papers
Multi-resolution isotropic strain limiting
ACM SIGGRAPH Asia 2010 papers
Interactive surface modeling using modal analysis
ACM Transactions on Graphics (TOG)
Eigenmodes of surface energies for shape analysis
GMP'10 Proceedings of the 6th international conference on Advances in Geometric Modeling and Processing
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Modal shape analysis beyond Laplacian
Computer Aided Geometric Design
Data-Driven Estimation of Cloth Simulation Models
Computer Graphics Forum
Adaptive fracture simulation of multi-layered thin plates
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Discrete bending forces and their Jacobians
Graphical Models
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Hinge-based bending models are widely used in the physically-based animation of cloth, thin plates and shells. We propose a hinge-based model that is simpler to implement, more efficient to compute, and offers a greater number of effective material parameters than existing models. Our formulation builds on two mathematical observations: (a) the bending energy of curved flexible surfaces can be expressed as a cubic polynomial if the surface does not stretch; (b) a general class of anisotropic materials---those that are orthotropic---is captured by appropriate choice of a single stiffness per hinge. Our contribution impacts a general range of surface animation applications, from isotropic cloth and thin plates to orthotropic fracturing thin shells.