Art and Design, Vol. 1, Issue 1, Sep  2018, Pages 14-22; DOI: 10.31058/j.ad.2017.11002 10.31058/j.ad.2017.11002

Fitting Hyperboloid and Hyperboloid Structures

Art and Design, Vol. 1, Issue 1, Sep  2018, Pages 14-22.

DOI: 10.31058/j.ad.2017.11002

Sebahattin Bektas 1*

1 Geomatics Engineering, Faculty of Engineering, Ondokuz Mayis University, Samsun, Turkey

Received: 29 November 2017; Accepted: 20 December 2017; Published: 17 January 2018

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Abstract

In this paper, we present the design of hyperboloid structures and techniques for hyperboloid fitting which are based on minimizing the sum of the squares of the algebraic distances between the noisy data and the hyperboloid. Algebraic fitting methods solve the linear least squares (LS) problem, and are relatively straightforward and fast. Fitting orthogonal hyperboloid is a difficult issue. Usually, it is impossible to reach a solution with classic LS algorithms, because they are often faced with the problem of convergence. Therefore, it is necessary to use special algorithms e.g. nonlinear least square algorithms. Hyperboloid has a complex geometry as well as hyperboloid structures have always been interested. The two main reasons, apart from aesthetic considerations, are strength and efficiency.

Keywords

Hyperboloid Structure, Design of Hyperboloid, Fitting Hyperboloid, Least Squares Problem

Copyright

© 2017 by the authors. Licensee International Technology and Science Press Limited. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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