{"title":"数字化直线插值的数值方法(展开法)。","authors":"M R Voegelin, G Paoli","doi":"","DOIUrl":null,"url":null,"abstract":"<p><p>The proposed method can be used for reconstructing, from n not necessarily equidistant points of a digitized polydrome line, a set of n1 equidistant points (with n1 > n) interpolating the original points. This method is based on a transformation of the original line into a digitized monodrome function D(1i) (unrolling function), where 1i is the line length between the origin and the ith point (i = 1,..., n1). Advantage of this method consists in reducing the two-dimensional interpolation problem to the one-dimensional field. In scintigraphic imaging, it is possible to achieve interpolation and coding of ROI's (Regions Of Interest) edges. For n samples of a monodrome line this method can also be applied, representing a possible alternative to splines. The numerical procedure is developed to reduce the noise on the points.</p>","PeriodicalId":77217,"journal":{"name":"Journal of nuclear biology and medicine (Turin, Italy : 1991)","volume":"38 1","pages":"47-54"},"PeriodicalIF":0.0000,"publicationDate":"1994-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Numerical method for the interpolation of digitized lines (unrolling method).\",\"authors\":\"M R Voegelin, G Paoli\",\"doi\":\"\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>The proposed method can be used for reconstructing, from n not necessarily equidistant points of a digitized polydrome line, a set of n1 equidistant points (with n1 > n) interpolating the original points. This method is based on a transformation of the original line into a digitized monodrome function D(1i) (unrolling function), where 1i is the line length between the origin and the ith point (i = 1,..., n1). Advantage of this method consists in reducing the two-dimensional interpolation problem to the one-dimensional field. In scintigraphic imaging, it is possible to achieve interpolation and coding of ROI's (Regions Of Interest) edges. For n samples of a monodrome line this method can also be applied, representing a possible alternative to splines. The numerical procedure is developed to reduce the noise on the points.</p>\",\"PeriodicalId\":77217,\"journal\":{\"name\":\"Journal of nuclear biology and medicine (Turin, Italy : 1991)\",\"volume\":\"38 1\",\"pages\":\"47-54\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1994-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of nuclear biology and medicine (Turin, Italy : 1991)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of nuclear biology and medicine (Turin, Italy : 1991)","FirstCategoryId":"1085","ListUrlMain":"","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Numerical method for the interpolation of digitized lines (unrolling method).
The proposed method can be used for reconstructing, from n not necessarily equidistant points of a digitized polydrome line, a set of n1 equidistant points (with n1 > n) interpolating the original points. This method is based on a transformation of the original line into a digitized monodrome function D(1i) (unrolling function), where 1i is the line length between the origin and the ith point (i = 1,..., n1). Advantage of this method consists in reducing the two-dimensional interpolation problem to the one-dimensional field. In scintigraphic imaging, it is possible to achieve interpolation and coding of ROI's (Regions Of Interest) edges. For n samples of a monodrome line this method can also be applied, representing a possible alternative to splines. The numerical procedure is developed to reduce the noise on the points.