THE TIME SCALE CALCULUS APPROACH TO THE GEODESIC PROBLEM IN 3D DYNAMIC DATA SETS

Abstract

Geodesics have a fundamental role in the geometry of curved surfaces, as well as in discrete geometry. We present the time scale analogy of the dynamic data sets parameterized by a tensor product of two times scales. The goal of our study is the find the shortest and straightest path between two points on a point cloud like data sets which also involves continuous data.