Piecewise-Smooth Image Segmentation Models with $$L^1$$L1 Data-Fidelity Terms
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-016-0280-z
Abstract: In this article, we propose a class of piecewise-smooth image segmentation models in a variational framework. The models involve $$L^1$$L1 data fidelity measures and assume that an image can be approximated by the sum of… read more here.
Keywords: image; data fidelity; piecewise smooth; image segmentation ... See more keywords
The Melnikov method for detecting chaotic dynamics in a planar hybrid piecewise-smooth system with a switching manifold
Sign Up to like & getrecommendations! Published in 2017 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-017-3493-2
Abstract: In this paper, we extend the classical Melnikov method for smooth systems to a class of planar hybrid piecewise-smooth system subjected to a time-periodic perturbation. In this class, we suppose there exists a switching manifold… read more here.
Keywords: smooth system; system; piecewise smooth; switching manifold ... See more keywords
Bifurcation of limit cycles in piecewise-smooth systems with intersecting discontinuity surfaces
Sign Up to like & getrecommendations! Published in 2019 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-019-05400-z
Abstract: This paper deals with bifurcation of limit cycles for perturbed piecewise-smooth systems. Concentrating on the case in which the vector fields are defined in four domains and the discontinuity surfaces are codimension-2 manifolds in the… read more here.
Keywords: limit cycles; discontinuity surfaces; bifurcation limit; piecewise smooth ... See more keywords
An efficient algorithm for solving piecewise-smooth dynamical systems
Sign Up to like & getrecommendations! Published in 2021 at "Numerical Algorithms"
DOI: 10.1007/s11075-021-01154-1
Abstract: This article considers the numerical treatment of piecewise-smooth dynamical systems. Classical solutions as well as sliding modes up to codimension-2 are treated. An algorithm is presented that, in the case of non-uniqueness, selects a solution… read more here.
Keywords: piecewise smooth; algorithm solving; smooth dynamical; efficient algorithm ... See more keywords
Regularized inversion of amplitude-versus-incidence angle (AVA) based on a piecewise-smooth model
Sign Up to like & getrecommendations! Published in 2018 at "Acta Geophysica"
DOI: 10.1007/s11600-018-0203-5
Abstract: Different from the stacked seismic data, pre-stack data includes abundant information about shear wave and density. Through inversing the shear wave and density information from the pre-stack data, we can determine oil-bearing properties from different… read more here.
Keywords: inversion; piecewise smooth; model; versus incidence ... See more keywords
Numerical computation of connecting orbits in planar piecewise smooth dynamical system
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2016.11.016
Abstract: Abstract In this paper, a numerical algorithm for computing the connecting orbits in piecewise smooth dynamical systems is derived and is analyzed. A nondegenerate condition for the connecting orbit with respect to its bifurcation parameter… read more here.
Keywords: numerical computation; orbits planar; piecewise smooth; connecting orbits ... See more keywords
The infinitesimal phase response curves of oscillators in piecewise smooth dynamical systems
Sign Up to like & getrecommendations! Published in 2018 at "European Journal of Applied Mathematics"
DOI: 10.1017/s0956792518000128
Abstract: The asymptotic phase θ of an initial point x in the stable manifold of a limit cycle (LC) identifies the phase of the point on the LC to which the flow φt(x) converges as t… read more here.
Keywords: phase; piecewise smooth; phase response; smooth dynamical ... See more keywords
A piecewise smooth model of evolutionary game for residential mobility and segregation.
Sign Up to like & getrecommendations! Published in 2018 at "Chaos"
DOI: 10.1063/1.5023604
Abstract: The paper proposes an evolutionary version of a Schelling-type dynamic system to model the patterns of residential segregation when two groups of people are involved. The payoff functions of agents are the individual preferences for… read more here.
Keywords: integration; evolutionary game; piecewise smooth; model ... See more keywords
Melnikov-type method for a class of hybrid piecewise-smooth systems with impulsive effect and noise excitation: Homoclinic orbits.
Sign Up to like & getrecommendations! Published in 2022 at "Chaos"
DOI: 10.1063/5.0096086
Abstract: The Melnikov method is extended to a class of hybrid piecewise-smooth systems with impulsive effect and noise excitation when an unperturbed system is a piecewise Hamiltonian system with a homoclinic orbit. The homoclinic orbit continuously… read more here.
Keywords: impulsive effect; piecewise smooth; noise excitation;
Hybrid absorbing boundary condition for piecewise smooth curved boundary in 2D acoustic finite difference modelling
Sign Up to like & getrecommendations! Published in 2017 at "Exploration Geophysics"
DOI: 10.1071/eg17012
Abstract: Flexible computational domains and their corresponding irregular absorbing boundary conditions (ABCs) have previously been shown to improve the efficiency of finite difference (FD) modelling. However, these proposed ABCs for irregular boundaries are based on irregular… read more here.
Keywords: piecewise smooth; curved boundary; absorbing boundary; finite difference ... See more keywords
New Smoothing Approximations to Piecewise Smooth Functions and Applications
Sign Up to like & getrecommendations! Published in 2019 at "Numerical Functional Analysis and Optimization"
DOI: 10.1080/01630563.2018.1561466
Abstract: Abstract In this study, we present a new method of smoothing to approximate piecewise smooth functions. First, we give a new definition for piecewise smooth functions. Then, we present new local and global smoothing approximations… read more here.
Keywords: new smoothing; approximations piecewise; smooth functions; functions applications ... See more keywords