A Caltech Library Service

Discrete mechanical interpolation of keyframes


Yang, Weiwei (2008) Discrete mechanical interpolation of keyframes. Master's thesis, California Institute of Technology.


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.

Item Type:Thesis (Master's thesis)
Subject Keywords:directable animation; discrete mechanics; key frame interpolation; physically based simulation
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Computer Science
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Desbrun, Mathieu
Thesis Committee:
  • Unknown, Unknown
Defense Date:31 December 2007
Author Email:weiweiy (AT)
Record Number:CaltechETD:etd-12312007-012842
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5171
Deposited By: Imported from ETD-db
Deposited On:17 Jan 2008
Last Modified:01 Aug 2014 17:11

Thesis Files

PDF (thesis.pdf) - Final Version
See Usage Policy.


Repository Staff Only: item control page