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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/6056
Title: A rapid Bézier curve method for shape analysis and point representation of asymmetric folds
Authors: Srivastava D.C.
Rastogi V.
Ghosh R.
Published in: Journal of Structural Geology
Abstract: Point representation of fold shapes is useful, in particular, for classification of a large number of folds into different geometric populations. The methods for shape analysis and point representation of asymmetric folds are a few and tedious, although several methods exist for the analysis of the individual fold limbs, or symmetric folds. This article gives a rapid method that uses the Bézier curve tool, available in any common computer graphics software, for the analysis of a complete asymmetric fold and its point representation in the two-dimensional frame.The new method is based on the reduction of variables in the parametric equations of a cubic Bézier curve. It makes the length of one Bézier handle zero, pins the end point of the other Bézier handle at the origin of the X-. Y frame and drags its control point along the Y-axis to fit the Bézier curve on the given asymmetric fold. A Cartesian plot between normalised length of the Bézier handle and the lift, i.e., difference between the heights of the two inflection points, gives the unique point that represents the given asymmetric fold shape. We test the validity of the new method on several computer simulated asymmetric folds and demonstrate its usefulness with the help of a natural example. © 2010 Elsevier Ltd.
Citation: Journal of Structural Geology (2010), 32(5): 685-692
URI: https://doi.org/10.1016/j.jsg.2010.04.002
http://repository.iitr.ac.in/handle/123456789/6056
Issue Date: 2010
Keywords: Asymmetric fold
Bézier curve
Inflection point
Lift
Point representation
ISSN: 1918141
Author Scopus IDs: 7203029419
7006364661
14008658900
Author Affiliations: Srivastava, D.C., Department of Earth Sciences, IIT Roorkee, Roorkee 247 667, India
Rastogi, V., Department of Physics, IIT Roorkee, Roorkee 247 667, India
Ghosh, R., Department of Earth Sciences, IIT Roorkee, Roorkee 247 667, India
Funding Details: Dipanwita Nandy initiated studies on point representation of folds at the Structural Geology laboratory, IIT Roorkee. We thank F. Bastida and an anonymous referee for the erudite reviews that helped improve the manuscript considerably. We are grateful to Richard Lisle for his advice and discussions, and Tom Blenkinsop for an efficient editorial handling. The work was supported by the Grants from Department of Science and Technology, Government of India .
Corresponding Author: Srivastava, D.C.; Department of Earth Sciences, IIT Roorkee, Roorkee 247 667, India; email: dpkesfes@iitr.ernet.in
Appears in Collections:Journal Publications [ES]

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