{"title":"作为数字滤波器的b样条曲线和曲面","authors":"Ardeshir Goshtasby, Fuhua Cheng, Brian A Barsky","doi":"10.1016/0734-189X(90)90058-4","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we show that <em>B</em>-spline curves and surfaces can be viewed as digital filters. Viewing <em>B</em>-spline problems as digital filters allows one to predict some properties of the generated curves and surfaces. We find that even-order <em>B</em>-splines and odd-order <em>B</em>-splines behave differently when used in curve and surface interpolation. Even-order <em>B</em>-splines generate smoother curves and surfaces than do odd-order <em>B</em>-splines.</p></div>","PeriodicalId":100319,"journal":{"name":"Computer Vision, Graphics, and Image Processing","volume":"52 2","pages":"Pages 264-275"},"PeriodicalIF":0.0000,"publicationDate":"1990-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0734-189X(90)90058-4","citationCount":"44","resultStr":"{\"title\":\"B-spline curves and surfaces viewed as digital filters\",\"authors\":\"Ardeshir Goshtasby, Fuhua Cheng, Brian A Barsky\",\"doi\":\"10.1016/0734-189X(90)90058-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, we show that <em>B</em>-spline curves and surfaces can be viewed as digital filters. Viewing <em>B</em>-spline problems as digital filters allows one to predict some properties of the generated curves and surfaces. We find that even-order <em>B</em>-splines and odd-order <em>B</em>-splines behave differently when used in curve and surface interpolation. Even-order <em>B</em>-splines generate smoother curves and surfaces than do odd-order <em>B</em>-splines.</p></div>\",\"PeriodicalId\":100319,\"journal\":{\"name\":\"Computer Vision, Graphics, and Image Processing\",\"volume\":\"52 2\",\"pages\":\"Pages 264-275\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0734-189X(90)90058-4\",\"citationCount\":\"44\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Computer Vision, Graphics, and Image Processing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/0734189X90900584\",\"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/0734189X90900584","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
B-spline curves and surfaces viewed as digital filters
In this paper, we show that B-spline curves and surfaces can be viewed as digital filters. Viewing B-spline problems as digital filters allows one to predict some properties of the generated curves and surfaces. We find that even-order B-splines and odd-order B-splines behave differently when used in curve and surface interpolation. Even-order B-splines generate smoother curves and surfaces than do odd-order B-splines.
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