Resonant bifurcation of feed-forward chains and application in image contrast enhancement

Wen-long, Wang; Lin, Xiao; Zhang, Chunrui

doi:10.1016/j.matcom.2021.03.004

Cited by 4 publications

(2 citation statements)

References 27 publications

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“…The complex dynamics arising form double Hopf bifurcation has been recently studied by many authors for various dynamical systems, refering to [20,22,33,44,49] for ordinary differential equations, to [2,3,6,7,14,18,27,31,45,46] for delay differential equations. More recently, based on the theory of normal forms for partial functional differential equations developed by Faria [12], the double Hopf bifurcation in the reaction-diffusion system with delay has attracted the attention of the researchers [4,8,9,24].…”

Section: Introductionmentioning

confidence: 99%

Double Hopf bifurcation analysis in the memory-based diffusion system

Song¹,

Peng²,

Zhang³

2022

Preprint

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In this paper, we derive the algorithm for calculating the normal form of the double Hopf bifurcation that appears in a memory-based diffusion system via taking memory-based diffusion coefficient and the memory delay as the perturbation parameters. Using the obtained theoretical results, we study the dynamical classification near the double Hopf bifurcation point in a predator-prey system with Holling type II functional response. We show the existence of different kinds of stable spatially inhomogeneous periodic solutions, the transition from one kind to the other as well as the coexistence of two types of periodic solutions with different spatial profiles by varying the memory-based diffusion coefficient and the memory delay.

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Section: Introductionmentioning

confidence: 99%

Double Hopf bifurcation analysis in the memory-based diffusion system

Song¹,

Peng²,

Zhang³

2022

Preprint

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“…Feng et al [18] presented an image enhancement calculation based on a multi-brightening assessment which can robustly produce high-quality results for various underexposures. Wang et al [20] introduced an algorithm for contrast enhancement by using a feed-forward neural network constructed by the property of 1:1.…”

Section: Introductionmentioning

confidence: 99%

An Intuitionistic Fuzzy and Contrast Limited Adaptive Histogram Equalization based Low-Light Color Image Enhancement Technique

Jebadass

Balasubramaniam

2022

Preprint

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This paper proposes a new intuitionistic fuzzy-based algorithm for color image enhancement. A unique aspect of the proposed method is determining the degree of hesitation using Yager’s intuition-istic fuzzy generator technique. Here a boosting parameter α is used to stimulus the intuitionistic fuzzy image for enhancement technique. In this proposed method, first normal fuzzification transforms the given image into a fuzzy image. Then it is again transferred to an intuition-istic fuzzy image. Finally, one can get the proposed enhanced image after applying contrast limited adaptive histogram equalization. The proposed method is compared with other existing methods like brightness preserving dynamic fuzzy histogram equalization, histogram equalization , contrast limited adaptive histogram equalization, histogram specification approach, dehazing algorithm, intuitionistic fuzzy algorithm, and interval-valued intuitionistic fuzzy algorithm. We got better results through performance analyses like entropy, structural similarity index, absolute mean brightness error, and contrast improvement index. The outcomes uncovered that the proposed technique beats other existing strategies on generally speaking execution measurements and visual quality. Mathematics Subject Classification (2020): 68U10 . 94D05

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