{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,26]],"date-time":"2026-08-26T15:51:16Z","timestamp":1787759476163,"version":"build-2784847793"},"reference-count":12,"publisher":"World Scientific Pub Co Pte Lt","issue":"08","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2007,8]]},"abstract":"<jats:p> The cellular neural\/nonlinear network (CNN) is a powerful tool for image and video signal processing, as well as robotic and biological visions. Practically, an engineer always hopes to design a CNN that has both universality and robustness. Based on research on the designs for the global connectivity detection (GCD) CNN [Chua, 1997] used in binary pattern, this paper establishes a theorem on robust designs for gray-scale global connectivity detection (GGCD) CNN templates. The theorem provides template parameter inequalities for determining parameter intervals for implementing the GCD functions. As a first example, two gray-scale labyrinth patterns with Gaussian noise are constructed. Using the GGCD, CNN designed by the theorem detects the connectivity of the two labyrinth patterns with gray-scales. In the other three examples, using GGCD CNNs simulate the spreads of an infectious diseases at nonuniform speeds. <\/jats:p>","DOI":"10.1142\/s0218127407018816","type":"journal-article","created":{"date-parts":[[2007,9,24]],"date-time":"2007-09-24T10:16:13Z","timestamp":1190628973000},"page":"2827-2838","source":"Crossref","is-referenced-by-count":11,"title":["ROBUST DESIGNS FOR GRAY-SCALE GLOBAL CONNECTIVITY DETECTION CNN TEMPLATES"],"prefix":"10.1142","volume":"17","author":[{"given":"JINZHU","family":"LIU","sequence":"first","affiliation":[{"name":"Schools of Applied Science and Information Engineering, University of Science and Technology Beijing, Beijing 100083, P. R. China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"LEQUAN","family":"MIN","sequence":"additional","affiliation":[{"name":"Schools of Applied Science and Information Engineering, University of Science and Technology Beijing, Beijing 100083, P. R. China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1002\/cta.204"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1109\/31.7600"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127497001618"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511754494"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1142\/S021812749900002X"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2003.809812"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1109\/81.747207"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127403008375"},{"key":"rf10","first-page":"117","volume":"30","author":"Kananen A.","journal-title":"Int. J. Circuits Syst.-I"},{"key":"rf13","first-page":"151","volume":"41","author":"Liu J.","journal-title":"Commun. Theor. Phys."},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1002\/cta.4490230602"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1097-007X(199901\/02)27:1<5::AID-CTA38>3.0.CO;2-C"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127407018816","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T14:59:43Z","timestamp":1565189983000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127407018816"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,8]]},"references-count":12,"journal-issue":{"issue":"08","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2007,8]]}},"alternative-id":["10.1142\/S0218127407018816"],"URL":"https:\/\/doi.org\/10.1142\/s0218127407018816","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,8]]}}}