Deep Learning in Geometry: Arclength Learning

In this current 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. There are many close form expressions for calculation of the length and other geometric properties in the classical literature (Kimmel, 2003). However, since we know the powerful functions of DNN, we are highly motivated to reconstruct the length of curve (arclength) property by designing a DNN. For simplicity, we focused on the two-dimensional Euclidean domain. <a href="https://towardsdatascience.com/deep-learning-in-geomtry-arclentgh-learning-119d347231ce">Click Here</a>