A paraperspective factorization method for shape and motion recovery

CJ Poelman, T Kanade - IEEE transactions on pattern analysis …, 1997 - ieeexplore.ieee.org
CJ Poelman, T Kanade
IEEE transactions on pattern analysis and machine intelligence, 1997ieeexplore.ieee.org
The factorization method, first developed by Tomasi and Kanade (1992), recovers both the
shape of an object and its motion from a sequence of images, using many images and
tracking many feature points to obtain highly redundant feature position information. The
method robustly processes the feature trajectory information using singular value
decomposition (SVD), taking advantage of the linear algebraic properties of orthographic
projection. However, an orthographic formulation limits the range of motions the method can …
The factorization method, first developed by Tomasi and Kanade (1992), recovers both the shape of an object and its motion from a sequence of images, using many images and tracking many feature points to obtain highly redundant feature position information. The method robustly processes the feature trajectory information using singular value decomposition (SVD), taking advantage of the linear algebraic properties of orthographic projection. However, an orthographic formulation limits the range of motions the method can accommodate. Paraperspective projection, first introduced by Ohta et al. (1981), is a projection model that closely approximates perspective projection by modeling several effects not modeled under orthographic projection, while retaining linear algebraic properties. Our paraperspective factorization method can be applied to a much wider range of motion scenarios, including image sequences containing motion toward the camera and aerial image sequences of terrain taken from a low-altitude airplane.
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