Title :
Decomposing the Laplacian
Author_Institution :
Dept. of Math., State Univ. of New York, Buffalo, NY, USA
fDate :
8/1/1990 12:00:00 AM
Abstract :
A correction is made and an elementary derivation is given of Clark´s (ibid., vol.11, p.43-57, 1989) decomposition of the Laplacian Δ2f(x,y) into a second directional derivative in the gradient direction of f, and a product of gradient magnitude by curvature of the level curve through f(x,y)
Keywords :
calculus; Laplacian; decomposition; second directional derivative; Acceleration; Calculus; Content addressable storage; Geometry; Imaging phantoms; Laplace equations; Machine intelligence; Mathematics; Pattern analysis; Tensile stress;
Journal_Title :
Pattern Analysis and Machine Intelligence, IEEE Transactions on
