EllipseFit is an integrated program for geological finite strain analysis. It includes routines to derive two and three-dimensional strain from oriented




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НазваниеEllipseFit is an integrated program for geological finite strain analysis. It includes routines to derive two and three-dimensional strain from oriented
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EllipseFit 3

Version 3.0.0.28 (beta)

01 August 2012


Introduction

EllipseFit is an integrated program for geological finite strain analysis. It includes routines to derive two and three-dimensional strain from oriented photographs. It is designed for field and laboratory based structural geology studies. The graphical interface and multi-platform deployment make it ideal for introductory structural geology laboratories. I use the software to teach structural geology at SUNY New Paltz. It is currently implemented for Windows 32 and Macintosh 10.5+ platforms. A Linux implementation is planned, send me an email if you would use it.


Please note this is a pre-final beta release. This release was spurred by a request for an ellipse from line stretches calculation, which doubles as a fold flattening index calculation (see example data). These are newly implemented in version 3, as are root mean square (rms) error calculations. However, not all features are implemented, such as line digitizing and ellipsoid graphs, and the user interface is not cleaned up (e.g., it will not warn you to save your data when closing a window). Version 2 is stable and well used, including a strain workshop at the 2012 Structural Geology and Tectonics Forum. I will address bug reports in version 2, however new feature requests will move into version 3.


Licensing issues, costs, and concerns about using a closed software system led me to move to a new platform. Version 3 is completely rewritten using Free Pascal (FPC), a world class open source compiler which runs on 25 operating systems. This allows me to rework and improve code with better extensibility. The simultaneous development of three other programs using common libraries, such as 3D graphics and matrix code, eases maintenance, and FPC allows the potential to port to iOS and other platforms.


Documentation

Documentation will eventually appear, however, some of the algorithms have not yet been published and are the subject of papers in preparation. More complete documentation will follow. I am releasing the program publicly with the hope that the structure and tectonics community will find it useful, and ask forgiveness for the lack of documentation, as well as respect for publication priority.


The included example files can be used to determine input data formats. These are simple text files of comma separated values which can be generated using a text editor or spreadsheet (export as csv). The header line indicates the type of data required in each column. The file names indicate the contents: ellipse data = E2, ellipse section data = ES, ellipsoid data = E3 (not implemented, use version 2), LA = line angular shear (Wellman type), LS = line stretch. Note that the LS data is from fold flattening index example (Ragan). The order of the columns is not important.


I am very happy to take emails with questions and suggestions, either at the university or at the gmail address used on my website, and will respond as timely as possible.


License

EllipseFit 3 software and accompanying documentation are copyright © Frederick W. Vollmer 2012. They come with no warrantees or guarantees of any kind (see Legal Notice). The software is freeware and may be downloaded and used without cost, however the author retains all rights to the source, binary code and accompanying files. It may not be redistributed or posted online. It is requested that acknowledgment and citation be given for any usage that leads to publication (see Citation).


Citation

In return for free use, I request that any significant use of the software in analyzing data or preparing diagrams be cited and acknowledged in publications, presentations, or other works. An acknowledgement could be, “I thank Frederick W. Vollmer for the use of his EllipseFit 3 software.”


Appropriate references include (see References):


Vollmer (2010) discusses ellipse and ellipse fitting techniques, including Shan's method, and their implementation in EllipseFit.

Vollmer (2011a) discusses methods for contouring finite strain on the unit hyperboloid and the use of hyperboloidal stereographic, equal-area and other projections for strain analysis.

Vollmer ( 2011b) discusses best-fit strain from multiple angles of shear and an analytical solution to the Wellman diagram.


A suitable reference to the software, and this documentation, is:


Vollmer, F.W., 2012. EllipseFit 3. http://www.frederickvollmer.com/ellipsefit/.


Registration

Please consider registering the software, registration is free and helps me determine the software usage and justify the time spent in it's upkeep.To register, simply send an email to me at vollmerf@gmail.com with your user name, affiliation, and usage. I will send you one email in reply with my thanks, and will not place you on a mailing list. For example, send me an email with something like:


User: Frederick Vollmer

Affiliation: SUNY New Paltz, Geology Department

Usage: Undergraduate structural geology course and research


Legal Notice

This software and any related documentation are provided "as is" without warranty of any kind, either express or implied, including, without limitation, the implied warranties or merchantability, fitness for a particular purpose, or non-infringement. The entire risk arising out of use or performance of the software remains with you.


Release Notes

3.0.0.28

Initial prerelease version.


Acknowledgements

I thank Y. Shan, K. Burmeister, P. Hudleston, W. Means, S. Treagus, G. Mitra, R. Twiss, S. Wojtal, H. Fossen, P. Karabinos, M. Mookerjee, J. Davis, W. Dunn, E. Erslev, Y. Kuiper, R. Bauer, D. Wise and others whose ears I have bent, for discussions and inspiration.


References

The following references pertain to techniques for strain analysis and related methods. Ragan (2009) and Ramsay and Huber (1983) provide excellent overviews.


Cloos, E., 1947. Oolite deformation in the South Mountain Fold, Maryland. Geological Society of America Bulletin, 58, 843-918.

Cloos, E., 1971. Microtectonics Along the Western Edge of the Blue Ridge, Maryland and Virginia. The Johns Hopkins Press, Baltimore and London, 234 p.

Davis, J.C., 1986. Statistics and Data Analysis in Geology. Wiley, 646 p.

Dunnet, D., 1969. A technique of finite strain analysis using elliptical particle. Tectonophysics 7, 117-136.

Dunner, D., and Siddans, A.W.B., 1971. Non-random sedimentary fabrics and their modification by strain. Tectonophysics, 12, 307-325.

Efron, B., 1979. Bootstrap methods: Another look at the jackknife. Annals of Statistics 7, 1-26.

Elliott, D., 1970. Determination of finite strain and initial shape from deformed elliptical objects. Geological Society of America Bulletin 81, 2221-2236.

Erslev, E.A., 1988. Normalized center-to-center strain analysis of packed aggregates. Journal of Structural Geology 10, 201-209.

Erslev, E.A., Ge, H., 1990. Least squares center-to-center and mean object ellipse fabric analysis. Journal of Structural Geology 8, 1047-1059.

Fisher, N.I., Lewis, T., and Embleton, B.J.J., 1987. Statistical Analysis of Spherical Data. Cambridge University Press, 329 p.

Fry, N., 1979. Random point distributions and strain measurement in rocks. Tectonophysics 60, 806-807.

Hossack, J.R., 1968. Pebble deformation and thrusting in the Bygdin area (Southern Norway). Tectonophysics 5, 315-339.

Jensen, 1981. On the hyperboloid distribution. Scandinavian Journal of Statistics 8, 193-206.

Launeau, L., and Pierre-Yves F. Robin. P.F., 2005. Determination of fabric and strain ellipsoids from measured sectional ellipses―implementation and applications. Journal of Structural Geology 27, 2223-2233.

Lisle, R.J., 1985. Geological Strain Analysis, A Manual for the Rf/f Technique. Pergamon Press, Oxford.

Mardia, K.V., 1972. Statistics of Directional Data. Academic Press, 329 p.

Mulchrone, K.F., O'Sullivan, F., Meere, P.A., 2003. Finite strain estimation using the mean radial length of elliptical objects with bootstrap confidence intervals. Journal of Structural Geology 25, 529-539.

Mulchrone, K.F. 2005. An analytical error for the mean radial length method strain analysis. Journal of Structural Geology 27, 1658-1665.

Nadai, A., 1950. Theory of Flow and Fracture of Solids. McGraw-Hill, New York, 572 p.

Owens, W.H., 1984. The calculation of a best-fit ellipsoid from elliptical sections on arbitrarily orientated planes. Journal of Structural Geology 6, 571-578.

Ragan, D.M., 1984. Structural Geology, An Introduction to Geometrical Techniques, 3rd Ed. John Wiley and Sons, Inc. 393 p.

Ragan, D.M., and Groshong, R.H., 1993. Strain from two angulars of shear. Journal of Structural Geology, v. 15, p. 1359-1360.

Ragan, D.M., 2009. Structural Geology, An Introduction to Geometrical Techniques, 4th Ed. John Wiley and Sons, Inc. 393 p.

Ramsay, J.G. and Huber, M. I., 1983. The Techniques of Modern Structural Geology: Volume 1: Strain. Analysis, Academic Press, London, 307 p.

Ramsay, J.G., 1967. Folding and Fracturing of Rocks. McGraw-Hill, 568 p.

Robin, P.F., 2002. Determination of fabric and strain ellipsoids from measured sectional ellipses – theory. Journal of Structural Geology 24, 531-544.

Rogers, D.F. And Adams, J.A., 1976. Mathematical Elements for Computer Graphics. McGraw-Hill, New York, 239 p.

Shan, Y., 2008. An analytical approach for determining strain ellipsoids from measurements on planar surfaces. Journal of Structural Geology 30, 539-546.

Shimamoto, T., Ikeda, Y., 1976. A simple algebraic method for strain estimation from ellipsoidal objects: Tectonophysics 36, 315-337.

Steger, C., 1996. On the Calculation of Arbitrary Moments of Polygons, Technical Report FGBV-96-05, Forschungsgruppe Bildverstehen (FG BV), Informatik IX Technische Universitat Munchen, Germany, 18 p.

Vollmer, F.W., 1995. C program for automatic for automatic contouring of spherical orientation data using a modified Kamb method: Computers & Geosciences 21, 31-49.

Vollmer, F.W., 2010. A comparison of ellipse-fitting techniques for two and three-dimensional strain analysis, and their implementation in an integrated computer program designed for field-based studies. Abstract T21B-2166, Fall Meeting, American Geophysical Union, San Francisco, California. [1]

Vollmer, F.W., 2011a. Automatic contouring of two-dimensional finite strain data on the unit hyperboloid and the use of hyperboloidal stereographic, equal-area and other projections for strain analysis. Geological Society of America Abstracts with Programs, v. 43, n. 5, p. 605. [2]

Vollmer, F.W., 2011b. Best-fit strain from multiple angles of shear and implementation in a computer program for geological strain analysis. Geological Society of America Abstracts with Programs, v. 43. [3]

Wellman, H.G., 1962, A graphic method for analysing fossile distortion caused by tectonic deformation. Geological Magazine, 99, 384-352.

Wheeler, J., 1984. A new plot to display the strain of elliptical markers: Journal of Structural Geology 6, 417-423.

Hossack, J.R., 1968. Pebble deformation and thrusting in the Bygdin area (Southern Norway): Tectonophysics 5, 315-339.

Yamaji, A., 2008. Theories of strain analysis from shape fabrics: A perspective using hyperbolic geometry. Journal of Structural Geology 30, 1451-1465.

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