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Centre-finding in Systems of Lines

Published online by Cambridge University Press:  01 May 2009

Michael J. Frost
Michael J. Frost
Affiliation:
Department of Geology, University of Canterbury, Christchurch, New Zealand.
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Abstract

Methods for studying the geometry of radiating and concentric features are described and compared. The method favoured for radiating features is to assume that the straight lines, which represent the trends of the features, are of infinite length. Then, for each point on a grid, calculating the mean of the perpendicular distances from the point to each of the lines. These values are then contoured, and a centre minimizing the value of the mean estimated visually.

The methods are applied to finding the centre of the Lyttelton volcano from the external contours and finding a radiation centre for its radial dykes.

Type
Articles
Information
Geological Magazine , Volume 102 , Issue 5 , October 1965 , pp. 445 - 450
Copyright
Copyright © Cambridge University Press 1965

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References

REFERENCES

Speight, R., 1938. The dykes of the Summit Road, Lyttelton. Trans. roy. Soc. N.Z., 68, 82–99.Google Scholar