Deep Learning in Geomtry: Arclentgh Learning

The calculation of curve length is one of the most major components in many modern and classical problem. For example, a handwritten signature involves the computation of the length along the curve (Ooi et al.). When one handles the challenge of length computation in real-life problems he faces several constraints such as additive noise, discretization error, and even partial information. In this work, we address a fundamental question in the field of geometry where we aim to reconstruct a basic property using DNN. The simplest geometric object is a curve, and a simple metric to evaluate a curve is the length.