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Novel affine‐invariant curve descriptor for curve matching and occluded object recognition
IET Computer Vision, 2013 The authors present a new approach for affine distorted planar curve matching and exploit it for occluded object recognition. There are two main contributions in the study: First, a novel affine‐invariant curve descriptor (AICD) based on a new‐defined ...
Huijing Fu +3 more
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Reparameterization invariant metric on the space of curves [PDF]
, 2015 This paper focuses on the study of open curves in a manifold M, and proposes a reparameterization invariant metric on the space of such paths. We use the square root velocity function (SRVF) introduced by Srivastava et al. in [11] to define a reparameterization invariant metric on the space of immersions M' = Imm([0,1], M) by pullback of a metric on ...
Alice Le Brigant +2 more
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Mather β-Function for Ellipses and Rigidity
Entropy, 2022 The goal of the first part of this note is to get an explicit formula for rotation number and Mather β-function for ellipse. This is done here with the help of non-standard generating function of billiard problem. In this way the derivation is especially
Michael Bialy
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Demonstratio Mathematica, 2023 The classification of the phase portraits is one of the classical and difficult problems in the qualitative theory of polynomial differential systems in R2{{\mathbb{R}}}^{2}, particularly for quadratic systems.
Benterki Rebiha, Belfar Ahlam
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On the Alexander invariants of trigonal curves [PDF]
Revista Matemática Complutense, 2021 21 pages, 1 ...
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Machine learning invariants of arithmetic curves [PDF]
Journal of Symbolic Computation, 2023 In the present paper, the authors show that an machine learning classifier can be trained to predict the rank and the torsion order of an elliptic curve or a genus two curve with high precision when the curve is represented by a few hundred coefficients of its \(L\)-function.
Yang-Hui He, Kyu-Hwan Lee, Thomas Oliver
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Synchronization of coupled generators of quasi-periodic oscillations upon destruction of invariant curve [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамика, 2021 The purpose of this study is to describe the complete picture of synchronization of two coupled generators of quasi-periodic oscillations, to classify various types of synchronization, to study features of occurrence and destruction of multi-frequency ...
Kuznetsov, Aleksandr Petrovich +2 more
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Polynomial differential systems with hyperbolic algebraic limit cycles
Electronic Journal of Qualitative Theory of Differential Equations, 2020 For a given algebraic curve of degree $n$, we exhibit differential systems of degree greater than or equal $n$, by introducing functions which are solutions of certain partial differential equations.
Salah Benyoucef
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LOCAL SYMPLECTIC INVARIANTS FOR CURVES [PDF]
Communications in Contemporary Mathematics, 2009 We consider curves in ℝ2n endowed with the standard symplectic structure. We introduce the concept of symplectic arc length for curves. We construct an adapted symplectic Frenet frame and we define 2n - 1 local differential invariants that we call symplectic curvatures of the curve.
Kamran, Niky +2 more
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Stability of a certain class of a host–parasitoid models with a spatial refuge effect
Journal of Biological Dynamics, 2020 A certain class of a host–parasitoid models, where some host are completely free from parasitism within a spatial refuge is studied. In this paper, we assume that a constant portion of host population may find a refuge and be safe from attack by ...
E. Bešo +3 more
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