Dissertation: Spatial Frequency Representations for Three-Dimensional Surfaces - This research involves the development and application of spatial frequency methods to geometrical shape analysis algorithms. One method of analyzing the shape of a 3-D object is to start with a topologically correct model and progressively deform and/or modify it so as to match landmarks or features of the target object. Although the target surface is in 3-D Cartesian space, it can be described in terms of a 2-D parametric representation. Analysis of the spatial frequencies on this surface should lead to more accurate and more efficient shape analysis methods. These methods have important applications in medicine, cognitive neuroscience, computer science, and other fields.