Curvature analysis of triangulated surfaces in structural geology

@article{samson:hal-04041368,
 abstract = {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.},
 author = {Samson, Philippe and Mallet, Jean Laurent},
 hal_id = {hal-04041368},
 hal_version = {v1},
 journal = {{Mathematical Geology}},
 number = {3},
 pages = {391-412},
 publisher = {{Springer Verlag}},
 title = {{Curvature analysis of triangulated surfaces in structural geology}},
 url = {https://hal.univ-lorraine.fr/hal-04041368},
 volume = {29},
 year = {1997}
}