Three Dimensional Edge Detection Using Wavelet and Shearlet Analysis

Abstract

Edge detection determines the boundary of objects in an image. A sequence of images records a 2D representation of a scene changing over time, giving 3D data. New 3D edge detectors, particularly ones we developed using shearlets and hybrid shearlet-Canny algorithms, identify edges of complicated objects much more reliably than standard approaches, especially under high noise conditions. We also use edge information to track the position and velocity of objects using an optimization algorithm.