Curvature of oriented patterns: 2-D and 3-D estimation from differential geometry

This paper presents a method that estimates curvature of both 2-D and 3-D oriented patterns at different scales even if the structures are very close. Assuming that a structure is locally defined by an implicit isointensity contour, the curvature is obtained by a direct computation stemming from the differential geometry. The method is applied to curvature estimation of seismic image for geological interpretation