Department of Mathematics Harvey Mudd College 


Senior ThesisDesigning Smooth Motions of Rigid Objects: Advisor: Weiqing Gu 

Consider the problem of designing the path of a camera in 3D. As we may identify each camera position with a member of the Euclidean motions, SE(3), the problem may be recast mathematically as constructing interpolating curves on the (nonEuclidean) space SE(3). There exist many ways to formulate this problem, and indeed many
solutions. In this thesis we shall examine solutions based on simple geometric
constructions, with the goal of discovering well behaved and Download: PDF 
