The material point method (MPM) is a numerical technique used to simulate the behavior of continuum materials. It uses small Lagrangian elements called "material points" surrounded by a background mesh/grid to calculate terms like deformation gradient. Unlike other mesh-based methods, MPM avoids drawbacks like high deformation tangling and advection errors, making it a promising tool in computational mechanics. The MPM was originally proposed in the early 1990s and has since been further developed by various institutions worldwide, gaining popularity through its use in the film Frozen.
Stanford University
Winter 2023
The course delves into the core mathematical principles and methods used for computer animation and motion simulation. It explores physics-based simulation methods to model shape and motion, like particle systems, rigid bodies, deformable models, etc. It also covers the animation of natural phenomena and virtual characters. Additional topics such as data-driven animation methods and real-time interactive methods are discussed.
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