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The affine index polynomial invariant of flat virtual knots

Journal of Knot Theory and Its Ramifications, 2014
We define the affine index polynomial of a flat virtual knot in a similar way as the case of a virtual knot, and show that it is described by the affine index polynomial of any overlying virtual knot. Let K be a virtual knot, and F the underlying flat virtual knot of K.
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An affine index polynomial invariant and the forbidden move of virtual knots

Journal of Knot Theory and Its Ramifications, 2016
Kauffman defines an affine index polynomial invariant for virtual knots. The invariant is induced from a numerical invariant called an [Formula: see text]-writhe. In this paper, we provide the difference of the values obtained from invariants between two virtual knots which can be transformed into each other by a single forbidden move. As a result, we
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Coninvolutory matrices, multi-affine polynomials, and invariant circles

Linear and Multilinear Algebra, 2022
Hristo Sendov, Junquan Xiao
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The topological classification of a family of quadratic differential systems in terms of affine invariant polynomials

2019
Summary: In this paper we provide affine invariant necessary and sufficient conditions for a non-degenerate quadratic differential system to have an invariant conic \(f(x,y) = 0\) and a Darboux invariant of the form \(f(x,y)^\lambda e^{st}\) with \(\lambda, s \in \mathbb R\) and \(s \neq 0\).
Schlomiuk, Dana, Vulpe, Nicolae
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Characterization and bifurcation diagram of the family of quadratic differential systems with an invariant ellipse in terms of invariant polynomials

Revista Matematica Complutense, 2021
Alex Rezende   +2 more
exaly  

Infinite families of 2-designs derived from affine-invariant codes

Journal of Combinatorial Designs, 2021
Yan Liu, Xiwang Cao
exaly  

ASIFT: A New Framework for Fully Affine Invariant Image Comparison

SIAM Journal on Imaging Sciences, 2009
Jean-Michel Morel
exaly  

Affine invariant classification and retrieval of texture images

Pattern Recognition, 2003
Jianguo Zhang, Tieniu Tan
exaly  

Affine Invariant Geometry for Non-rigid Shapes

International Journal of Computer Vision, 2014
Ron Kimmel, Dan Raviv
exaly  

Affine Invariant Detection: Edge Maps, Anisotropic Diffusion, and Active Contours

Acta Applicandae Mathematicae, 1999
Peter Olver   +2 more
exaly  

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