Curvature analysis of triangulated surfaces in structural geology

Autor:	Philippe Samson, Jean-Laurent Mallet
Rok vydání:	1997
Předmět:	Surface (mathematics) Mathematics (miscellaneous) Hydrogeology Basis (linear algebra) Deformation (mechanics) Differential geometry Principal curvature Numerical analysis Earth and Planetary Sciences (miscellaneous) Bézier curve Geometry Mathematics
Zdroj:	Mathematical Geology. 29:391-412
ISSN:	1573-8868 0882-8121
DOI:	10.1007/bf02769642
Popis:	This paper addresses the problem of characterizing the shape of a geological surface on the basis of its principal curvatures. The surface is assumed to be modeled as a set of adjacent triangles defined by the location of their vertices and a method is proposed for estimating numerically the principal curvatures at the vertices of the triangles using a local C2 interpolant. Also shown is how principal curvatures can be useful for studying the deformation of a geological surface (with application to 3D balanced unfolding), and analyzing the folding or faulting of the interface between two adjacent layers.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::22f6dba79aa5675b71631a9740a5a4cc https://doi.org/10.1007/bf02769642 Zobrazit plný text záznamu Full text from SpringerLink