http://hdl.handle.net/20.500.12128/6499
Title: | Numerical limitations of the attainment of the orientation of geological planes |
Authors: | Michalak, Michał |
Keywords: | attitude; three-point problem; collinearity |
Issue Date: | 2018 |
Citation: | Open Geoscience, Vol. 10, iss. 1(2018), s. 395-402 |
Abstract: | The paper discusses limitations of analytical attainment of the attitude of a geological plane by using three non-collinear points. We present problems that arise during computing the orientation of a plane generated by almost collinear points. We referred these errors to floating-point arithmetic inaccuracies. To demonstrate the problem, we examined a surface of constant orientation. We used Delaunay triangulation to calculate its local orientation parameters. We introduced a new measure of collinearity applicable for collecting attitude of planar triangles. Using this measure we showed that certain planes generated by the triangulation cannot be treated as a reliable source of measurement. To examine the relationship between collinearity and orientation, we used a combinatorial algorithm to obtain all possible planes from the given set of points. A statistical criterion of rejecting almost collinear planes was suggested. |
URI: | http://hdl.handle.net/20.500.12128/6499 |
DOI: | 10.1515/geo-2018-0031 |
ISSN: | 2391-5447 |
Appears in Collections: | Artykuły (WNP) |
File | Description | Size | Format | |
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Michalak_Numerical_limitations_of_the_attainment.pdf | 1,86 MB | Adobe PDF | View/Open |
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