Least squares best-fit circles (with applications to Mohr's diagram) |
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| Authors: | Richard J Lisle |
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| Institution: | (1) Department of Geology, University of Wales, CF1 3YE Cardiff, Wales |
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| Abstract: | Procedures are outlined for the selection of a least squares best-fit circle to data points defined by rectangular Cartesian coordinates. Equations are derived to allow fitting of circles centered on the x-axis as well as off-axis Mohr circles. These procedures are applicable to the estimation of second-order tensors such as stress and strain by means of Mohr's diagram. |
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| Keywords: | statistics image analysis strain estimation structural geology tensors |
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