{"title":"Discrete-Time Dynamic Image Segmentation Using Oscillators with Adaptive Coupling","authors":"Mio Kobayashi, T. Yoshinaga","doi":"10.4236/IJMNTA.2016.52010","DOIUrl":null,"url":null,"abstract":"In this \nstudy, we propose a novel discrete-time coupled model to generate oscillatory \nresponses via periodic points with a high periodic order. Our coupled system \ncomprises one-dimensional oscillators based on the Rulkov map and a single \nglobally coupled oscillator. Because the waveform of a one-dimensional \noscillator has sharply defined peaks, the coupled system can be applied to dynamic \nimage segmentation. Our proposed system iteratively transforms the coupling of \neach oscillator based on an input value that corresponds to the pixel value of \nan input image. This approach enables our system to segment image regions in \nwhich pixel values gradually change with respect to a connected region. We conducted \na bifurcation analysis of a single oscillator and a three-coupled model. \nThrough simulations, we demonstrated that our system works well for gray-level \nimages with three isolated image regions.","PeriodicalId":69680,"journal":{"name":"现代非线性理论与应用(英文)","volume":"05 1","pages":"93-103"},"PeriodicalIF":0.0000,"publicationDate":"2016-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"现代非线性理论与应用(英文)","FirstCategoryId":"1093","ListUrlMain":"https://doi.org/10.4236/IJMNTA.2016.52010","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this
study, we propose a novel discrete-time coupled model to generate oscillatory
responses via periodic points with a high periodic order. Our coupled system
comprises one-dimensional oscillators based on the Rulkov map and a single
globally coupled oscillator. Because the waveform of a one-dimensional
oscillator has sharply defined peaks, the coupled system can be applied to dynamic
image segmentation. Our proposed system iteratively transforms the coupling of
each oscillator based on an input value that corresponds to the pixel value of
an input image. This approach enables our system to segment image regions in
which pixel values gradually change with respect to a connected region. We conducted
a bifurcation analysis of a single oscillator and a three-coupled model.
Through simulations, we demonstrated that our system works well for gray-level
images with three isolated image regions.