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Article

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

by
Sibel Paşalı Atmaca
* and
Ömer Akgüller
Department of Mathematics, Mugla Sitki Kocman University, 48000, Merkez, Mugla, Turkey
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2013, 18(3), 421-427; https://doi.org/10.3390/mca18030421
Published: 1 December 2013
Versions Notes

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.
Keywords: Discrete Differential Geometry; Time Scale Calculus; Discrete Geodesic Problem; Point Cloud Data Discrete Differential Geometry; Time Scale Calculus; Discrete Geodesic Problem; Point Cloud Data

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MDPI and ACS Style

Atmaca, S.P.; Akgüller, Ö. The Time Scale Calculus Approach to the Geodesic Problem in 3D Dynamic Data Sets. Math. Comput. Appl. 2013, 18, 421-427. https://doi.org/10.3390/mca18030421

AMA Style

Atmaca SP, Akgüller Ö. The Time Scale Calculus Approach to the Geodesic Problem in 3D Dynamic Data Sets. Mathematical and Computational Applications. 2013; 18(3):421-427. https://doi.org/10.3390/mca18030421

Chicago/Turabian Style

Atmaca, Sibel Paşalı, and Ömer Akgüller. 2013. "The Time Scale Calculus Approach to the Geodesic Problem in 3D Dynamic Data Sets" Mathematical and Computational Applications 18, no. 3: 421-427. https://doi.org/10.3390/mca18030421

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