University of Notre Dame, Department of Mathematics
About Me
I am a graduate student pursuing a PhD in Mathematics at the University of Notre Dame. My adviser is Liviu Nicolaescu and my field of research is Differential Geometry (with an eye towards Computational Topology).
A Study of Pixelations of the Plane. This paper examines the properties of pixelations of planar objects, which are the approximations of subsets of the plane via square pixels. It concludes with an algorithm which can recover the normal cycle of a piecewise linear set using only its pixelations.