On some applications of vibrational resonance on noisy image perception: the role of the perturbation parameters

Abstract

In this paper, we first propose a brief overview of nonlinear resonance applications in the context of image processing. Next, we introduce a threshold detector based on these resonance properties to investigate the perception of subthreshold noisy images. By considering a random perturbation, we revisit the well-known stochastic resonance (SR) detector whose best performances are achieved when the noise intensity is tuned to an optimal value. We then introduce a vibrational resonance detector by replacing the noisy perturbation with a spatial high-frequency signal. To enhance the image perception through this detector, it is shown that the noise level of the input images must be lower than the optimal noise value of the SR-based detector. Under these conditions, considering the same noise level for both detectors, we establish that the vibrational resonance (VR)-based detector significantly outperforms the SR-based detector in terms of image perception. Moreover, we show that whatever the perturbation amplitude, the best perception through the VR detector is ensured when the perturbation frequency exceeds the image size. This article is part of the theme issue ‘Vibrational and stochastic resonance in driven nonlinear systems (part 2)’.

Vibrational and stochastic resonances in driven nonlinear systems: part 2

“…These include a Brownian particle confined in a structural cavity [ 25 , 26 ], coupled neuron-astrocyte [ 27 ] systems and neural networks [ 28 , 29 ]. Part 2 also presents articles in four application domains: image perception [ 6 ], energy harvesting [ 8 ], control of aerodynamic instability [ 12 ], and vibrational machines and devices [ 30 ].…”

“… Entropic stochastic resonance induced by a transverse driving force, by Du et al [ 25 ]. On some applications of vibrational resonance on image perception: the role of the perturbation parameters, by Morfu et al [ 6 ]. The response of a bistable energy harvester to different excitations: the harvesting efficiency and links with stochastic and vibrational resonance, by Khovanov [ 8 ].…”

“…On some applications of vibrational resonance on image perception: the role of the perturbation parameters, by Morfu et al [ 6 ].…”

“…In the application domain, Morfu et al [ 6 ] review some applications of nonlinear resonances to image processing and visual perception, with specific emphasis on the role of noisy and high-frequency parametric perturbations, in the context of SR and VR. Morfu et al [ 6 ] begin with a concise review of some general applications of nonlinear resonances in the field of image processing, image perception and signal dithering. They introduce a detector based on VR and SR formalism.…”

“…It may include multiple frequencies, the simplest form being a bi-harmonic/dual-frequency driving force, and is often engineered to act as a control input with the aim of achieving, e.g. the general improvement of system performance [3], amplification and detection of weak signal inputs [4][5][6], enhancement of operating conditions and efficiency [7,8], control of the ion mean flux and ion energy in plasmas due to electrical asymmetry effect (EAE) [9][10][11], control of aerodynamic instabilities [12], particle excitation in magnetic particle imaging (MPI) [13,14], design of logic gates [15] as well as the control and annihilation of chaos and coexisting attractors [16]. It has been established that these applications are connected to a plethora of dynamical phenomena induced by driving forces, yielding insights into a diversity of microscopic and macroscopic processes as enumerated in a very recent review by Vincent & Kolebaje [2].…”