Discrete Mechanical Interpolation of Keyframes

Citation

Yang, Weiwei (2008) Discrete Mechanical Interpolation of Keyframes. Master's thesis, California Institute of Technology. doi:10.7907/A1Y4-9054. https://resolver.caltech.edu/CaltechETD:etd-12312007-012842

Abstract

Advances in computer hardware and software have made it possible to use physical simulation methods to add unprecedented degrees of realism to computer animations. Unfortunately, the reliance on such methods makes it difficult or even impossible to control the results in order to achieve artistic goals. We present a method for allowing artistic control of physical realism by interpolating between given keyframes. The method is based on the discrete Lagrange-d'Alembert principle; we introduce additional "ghost forces" that are calculated to bring the system into the configuration requested by the artist. We derive a cost function that when minimized ensures the corresponding motion to be smooth and physical looking. We describe the implementation and show an example of animating a multi-particle mass-spring system in 3D using our method.

Thesis Files