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arXiv · 1908.02215

On cylindrical regression in three-dimensional Euclidean space

O. V. Ageev·R. A. Sharipov
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Abstract

The three-dimensional cylindrical regression problem is a problem of finding a cylinder best fitting a group of points in three-dimensional Euclidean space. The words best fitting are usually understood in the sense of the minimum root mean square deflection of the given points from a cylinder to be found. In this form the problem has no analytic solution. If one replaces the root mean square averaging by a certain biquadratic averaging, the resulting problem has an almost analytic solution. This solution is reproduced in the present paper in a coordinate-free form.

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O. V. Ageev, R. A. Sharipov. 2019-08-06. On cylindrical regression in three-dimensional Euclidean space. https://arxiv.org/abs/1908.02215

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