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Pattern Matching Under Affine Transformations
IEEE Transactions on Computers, 1977In the following we consider the action of the group of affine transformations on a class of patterns representable by continuous functions with compact support. It is first shown how to accomplish a reduction of the action of the affine group to that of the orthogonal group.
Dirilten, Hudai, Newman, Thomas G.
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Affine invariant wavelet transform
2001 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.01CH37221), 2002We present a two-dimensional wavelet transform that is invariant to affine distortions of the input signal. Affine distortions include geometric effects such as translation, reflection, uniform and anisotropic scaling, rotation, and shearing of the input signal.
V.H.S. Ha, J.M.F. Moura
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2016
The name, which goes back to Mobius and Leonhard Euler, implies that, in such a transformation, infinitely distant points correspond again to infinitely distant points, so that, in a sense, the “ends” of space are preserved. In fact, the formulas show at once that x´, y´, z´ become infinite with x, y, z.
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The name, which goes back to Mobius and Leonhard Euler, implies that, in such a transformation, infinitely distant points correspond again to infinitely distant points, so that, in a sense, the “ends” of space are preserved. In fact, the formulas show at once that x´, y´, z´ become infinite with x, y, z.
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Affine Transformation Capsule Net
2018CapsNet is a great attempt to relieve the drawback of CNN, where the routing by agreement method is tolerant to small changes in the viewpoint on one entity inside an image. This ground breaking has attracted the attention of many researchers, however, original CapsNet only utilizes the length of digit capsules in the classification task, which ignores
Runkun Lu +3 more
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Discrete invertible affine transformations
[1990] Proceedings. 10th International Conference on Pattern Recognition, 2002The theory and algorithm of a general method that constructs one-to-one mappings on an n-dimensional digital lattice are presented. The mapping is constructed so that any given equivolume affine transformation can be approximated. Equivolume affine transformations include translation, reflection, and skew. It is shown that (n/sup 2/-1) fundamental skew
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Elementary Affine Transformation Models
The Mathematics Teacher, 1988Elementary algebra is often the earliest mathematics course for college students. As the reader is well aware, one of the first topics in such a course is the notion of an affine function, f(x) = mx + k, and its straight-line graph. Of course, many reasons account for the early introduction of this topic, including conceptual simplicity, fundamental ...
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Non-rigid infrared and visible image registration by enhanced affine transformation
Pattern Recognition, 2020Chaobo Min +3 more
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Affine and Projective Transformations
2010In addition to isometries, there are two kinds of mappings that preserve lines: affine (Section 3.1) and projective (Section 3.2) transformations. Affine transformations f of \({\mathbb{R}}^{n}\) have the following property: If l is a line then f(l) is also a line, and if l ∥ k then f(l) ∥ f(k). A line in \({\mathbb{R}}^{n}\) means a set of the form {r
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