Reconstructing 3D scenes from multiple views has made impressive strides in recent years, chiefly by correlating isolated feature points, intensity patterns, or curvilinear structures. In …
Extending work of Kapouleas and Yang, we construct sequences of closed minimal surfaces embedded in the round unit 3-sphere and converging to a Clifford torus …
Chapter 1 presents joint work with Nikolaos Kapouleas and is concerned with constructions of new closed, embedded minimal surfaces in the round three sphere using …
We study the boundary of the moduli space of Higgs bundles using analytic methods such as harmonic maps and partial differential equations to give new …
We study existence and regularity of harmonic maps between 2-dimensional simplicial complexes. This work begins by defining metrics on these simplicial complexes and describing their …
We study the roles of domain and target curvatures in harmonic maps into metric spaces with upper curvature bounds. We begin computing the domain and …
This thesis proposes to solve the problem is of segmenting independently moving objects which is specifically useful in applications for compression, initialization for tracking, input …
This thesis develops the multiple view geometry of arbitrary, piecewise differentiable curves using differential geometry, and the beginnings of a theory on general surfaces. These …
The study of shapes and their similarities is central in computer vision, in that it allows to recognize and classify objects from their representation. One …