Mathematica code for least-squares cone fitting and equal-area stereonet representation

作者: Kieran F. Mulchrone , Daniel Pastor-Galán , Gabriel Gutiérrez-Alonso

DOI: 10.1016/J.CAGEO.2013.01.005

关键词: Eigenvalues and eigenvectorsMathematicsStereographic projectionCircle of a sphereConical surfaceMatrix (mathematics)Orientation (computer vision)Least squaresGeometryCone (topology)

摘要: In structural geology it is often assumed that folds are cylindrical. However, most structures conical to some degree. Due the lack of software capable accurately estimating best fit cone from a set oriented data, we developed Mathematica application (1) plotting data (lines and planes) on an equal area stereonet, (2) calculating orientation matrix, distribution shape intensity parameters, (3) eigenvectors (4) cone, small circle. We present both synthetic natural demonstrating its robustness accuracy cone.

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