{"title":"等值多边形的轮廓码","authors":"Prabir Bhattacharya, Azriel Rosenfeld","doi":"10.1016/0734-189X(90)90153-M","DOIUrl":null,"url":null,"abstract":"<div><p>An isothetic polygonal arc is one that has all its sides oriented in two orthogonal directions, so that all its angles are right angles. Such an arc is determined (up to congruence) by specifying a “code” sequence of the form <em>α</em><sub>1</sub><em>A</em><sub>1</sub><em>α</em><sub>2</sub> … <em>α</em><sub><em>m</em>−1</sub><em>A</em><sub><em>m</em>−1</sub><em>α</em><sub><em>m</em></sub>, where the α's are positive real numbers representing side lengths, and the <em>A</em>'s are single bits that specify whether the arc turns left or right between one side and the next. In this paper we develop basic properties of this code and show how to derive various geometric properties of the arc (or the region it bounds, if it is closed) directly from the code.</p></div>","PeriodicalId":100319,"journal":{"name":"Computer Vision, Graphics, and Image Processing","volume":"50 3","pages":"Pages 353-363"},"PeriodicalIF":0.0000,"publicationDate":"1990-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0734-189X(90)90153-M","citationCount":"9","resultStr":"{\"title\":\"Contour codes of isothetic polygons\",\"authors\":\"Prabir Bhattacharya, Azriel Rosenfeld\",\"doi\":\"10.1016/0734-189X(90)90153-M\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>An isothetic polygonal arc is one that has all its sides oriented in two orthogonal directions, so that all its angles are right angles. Such an arc is determined (up to congruence) by specifying a “code” sequence of the form <em>α</em><sub>1</sub><em>A</em><sub>1</sub><em>α</em><sub>2</sub> … <em>α</em><sub><em>m</em>−1</sub><em>A</em><sub><em>m</em>−1</sub><em>α</em><sub><em>m</em></sub>, where the α's are positive real numbers representing side lengths, and the <em>A</em>'s are single bits that specify whether the arc turns left or right between one side and the next. In this paper we develop basic properties of this code and show how to derive various geometric properties of the arc (or the region it bounds, if it is closed) directly from the code.</p></div>\",\"PeriodicalId\":100319,\"journal\":{\"name\":\"Computer Vision, Graphics, and Image Processing\",\"volume\":\"50 3\",\"pages\":\"Pages 353-363\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0734-189X(90)90153-M\",\"citationCount\":\"9\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Computer Vision, Graphics, and Image Processing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/0734189X9090153M\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computer Vision, Graphics, and Image Processing","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0734189X9090153M","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An isothetic polygonal arc is one that has all its sides oriented in two orthogonal directions, so that all its angles are right angles. Such an arc is determined (up to congruence) by specifying a “code” sequence of the form α1A1α2 … αm−1Am−1αm, where the α's are positive real numbers representing side lengths, and the A's are single bits that specify whether the arc turns left or right between one side and the next. In this paper we develop basic properties of this code and show how to derive various geometric properties of the arc (or the region it bounds, if it is closed) directly from the code.
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