{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,1]],"date-time":"2022-04-01T05:40:56Z","timestamp":1648791656469},"reference-count":0,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Comput. Geom. Appl."],"published-print":{"date-parts":[[1994,12]]},"abstract":"<jats:p> A theory is introduced relating extrinsic colorings of complementary regions of an embedded graph to certain intrinsic colorings of the edges of the graph, called color cycles, that satisfy a certain self-consistency condition. A region coloring is lifted to an edge coloring satisfying the cycle condition, and a dual construction builds a region coloring from any color cycle and any embedding of the graph. Both constructs are canonical, and the constructions are information-conservative in the sense that lifting an arbitrary region coloring to a color cycle and then reconstructing a region coloring from the cycle, using the same embedding, results in the original region coloring. The theory is motivated by, and provides the proof of correctness of, new scan-conversion algorithms that are useful in settings where region boundaries have very high complexity. These algorithms have been implemented and provide useful display functionality previously unavailable on certain rastor devices. <\/jats:p>","DOI":"10.1142\/s0218195994000239","type":"journal-article","created":{"date-parts":[[2004,11,18]],"date-time":"2004-11-18T21:21:13Z","timestamp":1100812873000},"page":"423-455","source":"Crossref","is-referenced-by-count":0,"title":["REGION COLORING, EDGE COLORING, AND SCAN-CONVERSION OF MAPS"],"prefix":"10.1142","volume":"04","author":[{"given":"KEITH D.","family":"McCROAN","sequence":"first","affiliation":[{"name":"U.S. EPA\/NAREL, 540 South Morris Avenue, Montgomery, Alabama 36115-2601, USA"}]},{"given":"R. C.","family":"LACHER","sequence":"additional","affiliation":[{"name":"Department of Computer Science, Florida State University, Tallahassee, FL 32306-4019, USA"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"container-title":["International Journal of Computational Geometry &amp; Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218195994000239","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T20:30:31Z","timestamp":1565123431000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218195994000239"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1994,12]]},"references-count":0,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[1994,12]]}},"alternative-id":["10.1142\/S0218195994000239"],"URL":"https:\/\/doi.org\/10.1142\/s0218195994000239","relation":{},"ISSN":["0218-1959","1793-6357"],"issn-type":[{"value":"0218-1959","type":"print"},{"value":"1793-6357","type":"electronic"}],"subject":[],"published":{"date-parts":[[1994,12]]}}}