Results 241 to 250 of about 426,018 (280)

On invariant curve forms

Computer Aided Geometric Design, 1986
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Smoothness of Invariant Curves

2020
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Katznelson, Yitzhak, Ornstein, Donald S.
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On Projective Invariants of Curves

Results in Mathematics, 1995
The author computes invariants of plane curves for the isotropy group of a point in projective geometry (what one could call centro-projective geometry) depending on several \((< 4)\) points and derivatives. He also indicates possible invariant parameters for the corresponding configurations.
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An analysis of invariant curves

Computer Aided Geometric Design, 1989
The author uses the Lie derivative (without mentioning its name) to find the partial differential equation of representations of curves covariant in a given group of transformations and applies his result to plane euclidean geometry. [The work could be simplified considerably using known work of Lie and Tresse, part of which is exposed in the reviewer ...
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Invariant Curves for Mappings

SIAM Journal on Mathematical Analysis, 1986
The main result concerns a smooth map T of a Banach space X into itself which has an unstable fixed point \(x_ 0\). We prove that if the spectral radius \(\lambda_ 0\) of the Fréchet derivative of T at \(x_ 0\) is an eigenvalue which exceeds one and appropriate additional assumptions hold, then there is a smooth invariant curve emanating from \(x_ 0 ...
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Invariant Signatures of Closed Planar Curves

Journal of Mathematical Imaging and Vision, 2009
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MUSSO, EMILIO, NICOLODI L.
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Invariance for Single Curved Manifold

2012 25th SIBGRAPI Conference on Graphics, Patterns and Images, 2012
Recently, it has been shown that, for Lambert illumination model, solely scenes composed by developable objects with a very particular albedo distribution produce an (2D) image with isolines that are (almost) invariant to light direction change. In this work, we provide and investigate a more general framework, and we show that, in general, the ...
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Noise-resistant invariants of curves

IEEE Transactions on Pattern Analysis and Machine Intelligence, 1993
Projective invariants are shape descriptors that are independent of the point of view from which the shape is seen, and, therefore, are of major importance in object recognition. They make it possible to match an image of an object to one stored in a database without the need for searching for the correct viewpoint.
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IS THE SERIAL‐POSITION CURVE INVARIANT?

British Journal of Psychology, 1962
The evidence presented by McCrary & Hunter and later researchers, which suggests that the form of the serial‐position curve is constant throughout variations in a large number of factors that affect rate of learning, has been found inadequate to answer the question of the curve's invariance.
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Bifurcations of invariant curves of a difference equation

Applied Mathematics and Mechanics, 2001
Bifurcation of the invariant curves of a difference equation is studied. The system defined by the difference equation is integrable, so the study of the invariant curves of the difference system can become the study of topological classification of the planar phase portraits defined by a planar Hamiltonian system.
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