Kansas Geological Survey, Computer Contributions 37, originally published in 1969

An Iterative Approach to the Fitting of Trend Surfaces

by A.J. Cole

University of St. Andrews

small image of the cover of the book; tan paper with red text.

Originally published in 1969 as Kansas Geological Survey Computer Contributions 37.

Introduction

The method described in this paper is a further development and considerable improvement on that described in a previous Computer Contribution (Cole, Jordan, and Merriam, 1967). The basic problem is the same as described in that publication, namely the problem of fitting a surface to a scattered data set of xyz-coordinates and plotting the corresponding contour lines using a digital plotter. The contouring technique finally is the same as described in the above publication and the reader is referred to that paper for details. Other approaches to the general problem are listed in the references at the end of this paper. The method employed in this paper has been described by Cole (1968).

Acknowledgments

Thanks are due to W.A. Read and J .M. Dean of the Institute of Geological Sciences (Edinburgh) who supplied many data sets, scrutinized the results and reviewed the manuscript. Machine time was made available through the Computing Laboratory of the University of St. Andrews (Scotland).

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Kansas Geological Survey
Placed on web Sept. 9, 2019; originally published 1969.
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