A paraperspective factorization method for shape and motionrecovery
Poelman, C.J.; Kanade, T.
Pattern Analysis and Machine Intelligence, IEEE Transactions on
Volume 19, Issue 3, Mar 1997 Page(s):206 - 218
Digital Object Identifier 10.1109/34.584098
Summary: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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