{"title":"二维物体的加权二次三角样条建模","authors":"M. Sarfraz, Shamaila Samreen, M. Hussain","doi":"10.1109/CGIV.2016.15","DOIUrl":null,"url":null,"abstract":"An imperative scheme is adopted to model 2D objects by constructing a weighted-spline using a quadratic trigonometric function with well controlled shape influences of parameters. The curve models, constructed through the suggested scheme, own the best possible geometric properties such as convex hull, partition of unity, affine invariance and variation diminishing. The illustration of the method is supportive for various shape effects using interval tension property. The proposed C1 spline method is modest overall.","PeriodicalId":351561,"journal":{"name":"2016 13th International Conference on Computer Graphics, Imaging and Visualization (CGiV)","volume":"44 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":"{\"title\":\"Modeling of 2D Objects with Weighted-Quadratic Trigonometric Spline\",\"authors\":\"M. Sarfraz, Shamaila Samreen, M. Hussain\",\"doi\":\"10.1109/CGIV.2016.15\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An imperative scheme is adopted to model 2D objects by constructing a weighted-spline using a quadratic trigonometric function with well controlled shape influences of parameters. The curve models, constructed through the suggested scheme, own the best possible geometric properties such as convex hull, partition of unity, affine invariance and variation diminishing. The illustration of the method is supportive for various shape effects using interval tension property. The proposed C1 spline method is modest overall.\",\"PeriodicalId\":351561,\"journal\":{\"name\":\"2016 13th International Conference on Computer Graphics, Imaging and Visualization (CGiV)\",\"volume\":\"44 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"9\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2016 13th International Conference on Computer Graphics, Imaging and Visualization (CGiV)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CGIV.2016.15\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2016 13th International Conference on Computer Graphics, Imaging and Visualization (CGiV)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CGIV.2016.15","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Modeling of 2D Objects with Weighted-Quadratic Trigonometric Spline
An imperative scheme is adopted to model 2D objects by constructing a weighted-spline using a quadratic trigonometric function with well controlled shape influences of parameters. The curve models, constructed through the suggested scheme, own the best possible geometric properties such as convex hull, partition of unity, affine invariance and variation diminishing. The illustration of the method is supportive for various shape effects using interval tension property. The proposed C1 spline method is modest overall.