Optimized Computer-Generated Motions for Animation

Abstract

Computer programmers working on computer animation have long been trying to solve the problem of how to move objects in user-desired ways with a minimum of user interaction. Objects moving from one place to another move along a path often determined by a spline. We would like to be able to allow the user a specify a characteristic of the object's motion and the animation system to choose a motion path that evidences that characteristic. We develop an approach using constrained optimization that will create paths. Some interesting motions have been found. We describe the effects obtainable from this method so that an animator can sensibly choose between them. We found that minimization of the covariant acceleration of all the points in a body leads to motion that is attractive. This motion seems to cause the moving body to anticipate its motion path in order to prevent sudden moves. It also seems to create very fluid-appearing motions because it tries to avoid sharp turns and sudden stops.