"Statistics and probability." . . "Vector analysis." . . "Motion." . . "Least squares method." . . . . . . . "Direct passive navigation: analytical solution for planes" . . . . . . . . . . . "Direct passive navigation : analytical solution for planes"@en . . . . . . . . . "Direct Passive Navigation: Analytical Solution for Planes"@en . . . . . . "This paper derives a closed form sloution for recovering the motion of an observer relative to a planar surface directly from image brightness gradients. The optical flow is not computed as an intermediate step, only the spatial and temporal intensity gradients at a minimum of eight points. A linear matrix equation is solved for the elements of a 3x3 matrix. The eigenvalue decomposition of its symmetric part is then used to compute the motion parameters and the plane orientation. Keywords Passive navigation; Optical flor; Structure and motion; Planar surfaces; Least squares method."@en . . . . . "Abstract: \"In this paper, we derive a closed form solution for recovering the motion of an observer relative to a planar surface directly from image brightness derivatives. We do not compute the optical flow as an intermediate step, only the spatial and temporal intensity gradients at a minimum of 8 points. We solve a linear matrix equation for the elements of a 3x3 matrix. The eigenvalue decomposition of its symmetric part is then used to compute the motion parameters and the plane orientation.\""@en . . . . . . . . . "Direct passive navigation"@en . . . "Direct passive navigation : analytical solution for quadratic patches"@en . "Rotation." . . "Change detection." . . . . "Eigenvalues." . . "Algorithms." . . "Image processing." . . "Bildverarbeitung." . . "Optics." . . "Gradiometers." . . "Matrices(mathematics)" . . "Navigation." . . "Velocity." . . "Intensity." . . "MASSACHUSETTS INST OF TECH CAMBRIDGE ARTIFICIAL INTELLIGENCE LAB." . .