### Fitting Hyperboloid and Hyperboloid Structures

#### Sebahattin Bektas 1*

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

### 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

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