Results 21 to 30 of about 401,072 (287)
Using the Moore-Penrose pseudoinverse of a matrix (a reference is \textit{C. D. Meyer}'s book [Matrix analysis and applied linear algebra (2000; Zbl 0962.15001)]), the authors construct projections of a vector on affine subspaces of a vector space. Some formulas for projecting onto intersections and sums of subspaces are also given.
Piziak, R., Odell, P.L.
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Projective translations and affine stereo calibration [PDF]
This paper investigates the structure of projective translations-rigid translations expressed as homographies in projective space. A seven parameter representation is proposed, which explicitly represents the geometric entities constraining and defining the translation. A practical algebraic method for estimating these parameters is developed.
Ruf, Andreas +2 more
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Contour matching using the affine‐invariant support point set
Moment has been widely used for contour matching. To use the moment to achieve contour matching under affine transformations, the affine‐invariant support point set (SPS) should be constructed first.
Wei Wang +4 more
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Ultraquadrics associated to affine and projective automorphisms [PDF]
The concept of ultraquadric has been introduced by the authors as a tool to algorithmically solve the problem of simplifying the coefficients of a given rational parametrization in K(α)(t1, . . . , tn) of an algebraic variety of arbitrary dimension over a field extension K(α).
Tomás Recio +3 more
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State dependent NGMV control of delayed piecewise affine systems [PDF]
A Nonlinear Generalized Minimum Variance (NGMV) control algorithm is introduced for the control of delayed piecewise affine (PWA) systems which are an important subclass of hybrid systems.
Grimble, M.J. +5 more
core +4 more sources
Robust Diffusion Affine Projection Algorithm With Variable Step-Size Over Distributed Networks
The estimation performance of the standard diffusion affine projection algorithm may be degraded when the distributed network nodes are disturbed by impulsive noise. To overcome the limitation, a diffusion affine projection M-estimate (DAPM) algorithm is
Pucha Song, Haiquan Zhao, Xiangping Zeng
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Affine Projection Algorithm Based on Least Mean Fourth Algorithm for System Identification
In the field of signal processing such as system identification, the affine projection algorithm (APA) is extensively implemented. However, running such algorithms in a non-Gaussian scenario may degrade its performance, since the second-order moment ...
Xiaoding Wang, Jun Han
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Affine and Projective Structure from Motion [PDF]
We demonstrate the recovery of 3D structure from multiple images, without attempting to determine the motion between views. The structure is recovered up to a transformation by a 3D linear group — the affine and projective group. The recovery does not require knowledge of camera intrinsic parameters or camera motion.
Demey, S, Zisserman, A, Beardsley, P
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Automorphisms of the affine Cremona group [PDF]
We show that every automorphism of the group Gn := Aut(An) of polynomial automorphisms of complex affine n-space An = Cn is inner up to field automorphisms when restricted to the subgroup TGn of tame automorphisms.
Kraft, Hanspeter, Stampfli, Immanuel
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MODULAR BUNDLE ADJUSTMENT FOR PHOTOGRAMMETRIC COMPUTATIONS [PDF]
In this paper we investigate how the residuals in bundle adjustment can be split into a composition of simple functions. According to the chain rule, the Jacobian (linearisation) of the residual can be formed as a product of the Jacobians of the ...
N. Börlin +4 more
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