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Projective Transformation. Images have to be filmed vertically from the selected sea area for higher accuracy; however, it is not easy to obtain any vertical image.
Also, if [bar.E] is always associated by convention with the canonical projective point [mathematical expression not reproducible] on the celestial circle of E, then we deduce that [[tau].sup.[??]] corresponds by a projective transformation to 0.
When the cameras are uncalibrated and no additional geometric information of the point set is available, the reconstruction is determined only up to an unknown projective transformation. For any 3D projective transformation matrix H, [P.sup.j][H.sup.-1] and H[X.sub.i] produce an equally valid reconstruction.
[18] uses scale-invariant feature transform (SIFT) [21] points to obtain a crude estimate of the projective transformation, and identifies the features from the moving objects by the difference in moving velocities between objects and the background.
The points of equal loading are fixed points of projective transformation [m.sub.1] [right arrow] [m.sub.2], [J.sub.1] [right arrow] [J.sub.2], as it is shown in Figure 3.
In this paper 2D projective transformation brings all the images aligned to a common ground plane with overhead view.
The projective transformation type can be used in 2D/3D image registration as a constrained elastic transformation when a fully elastic transformation behaves inadequately.
The set of all invertible transformations of the form (2) constitutes the planar projective transformation group G.
A twisted polygon is a sequence A = ([A.sub.i])i [member of] z of points in the projective plane that is periodic modulo some projective transformation [phi], i.e., [A.sub.i+n] = [phi]([A.sub.i]) for all i [epsilon] Z.
The researchers propose a fuzzy spatial data warehouse, a layered architecture for cooperative work environments, an algorithm for identifying authors using synonyms, and an image registration method using a projective transformation model.
Constructing the projective transformation is straightforward [Morgan 1986a; 1986b; Watson et al.