A Deformable Surface Model with Volume Preserving Springs
AMDO '08 Proceedings of the 5th international conference on Articulated Motion and Deformable Objects
Biquadratic and Quadratic Springs for Modeling St Venant Kirchhoff Materials
ISBMS '08 Proceedings of the 4th international symposium on Biomedical Simulation
ACM Transactions on Graphics (TOG)
Sensing, Acquisition, and Interactive Playback of Data-based Models for Elastic Deformable Objects
International Journal of Robotics Research
A simple approach to nonlinear tensile stiffness for accurate cloth simulation
ACM Transactions on Graphics (TOG)
Unified simulation of elastic rods, shells, and solids
ACM SIGGRAPH 2010 papers
Fast prototyping of virtual reality based surgical simulators with PhysX-enabled GPU
Transactions on edutainment IV
EuroHaptics'10 Proceedings of the 2010 international conference on Haptics: generating and perceiving tangible sensations, Part I
Mixed numerical integral algorithm for deformation simulation of soft tissues
AICI'10 Proceedings of the 2010 international conference on Artificial intelligence and computational intelligence: Part II
Optimization for sag-free simulations
SCA '11 Proceedings of the 2011 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Deformable part inspection using a spring-mass system
Computer-Aided Design
Mesh quality oriented 3D geometric vascular modeling based on parallel transport frame
Computers in Biology and Medicine
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Mass spring models are frequently used to simulate deformable objects because of their conceptual simplicity and computational speed. Unfortunately, the model parameters are not related to elastic material constitutive laws in an obvious way. Several methods to set optimal parameters have been proposed but, so far, only with limited success. We analyze the parameter identification problem and show the difficulties, which have prevented previous work from reaching wide usage. Our main contribution is a new method to derive analytical expressions for the spring parameters from an isotropic linear elastic reference model. The method is described and expressions for several mesh topologies are derived. These include triangle, rectangle, and tetrahedron meshes. The formulas are validated by comparing the static deformation of the MSM with reference deformations simulated with the finite element method.