The Time Scale Calculus Approach to the Geodesic Problem in 3D Dynamic Data Sets

Mathematical and Computational Applications

Atmaca, Sibel Paşalı¹ 

关键词: Discrete Differential Geometry;    Time Scale Calculus;    Discrete Geodesic Problem;    Point Cloud Data;   

DOI  :  10.3390/mca18030421

学科分类：计算数学

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY