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

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• 作者：Kieran F. Mulchrone^a ; Daniel Pastor-Galá ; n^b ; ^{dpastorgalan@usal.es} ; Gabriel Gutié ; rrez-Alonso^b
• 关键词：Stereographic projection ; Conical best fit ; Complex conical shapes ; Stereographic projection software ; Stereogram plotting software
• 刊名：Computers and Geosciences
• 出版年：2013
• 出版时间：April, 2013
• 年：2013
• 卷：54
• 期：Complete
• 页码：203-210
• 全文大小：928 K

文摘

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