{"title":"超曲面曲率测定与分析的新方法与新框架","authors":"Jacob D. Hauenstein, Timothy S Newman","doi":"10.24132/jwscg.2021.29.2","DOIUrl":null,"url":null,"abstract":"New methods for hypersurface (that is, 3-dimensional manifold) curvature determination in volumetric data areintroduced. One method is convolution-based. Another method is spline-based. Method accuracy is also analyzed,with that analysis involving comparison of the methods with each other as well as against two existing convolution-based methods. The accuracy analysis utilizes a novel framework that enables curvature determination methodaccuracy analysis via dynamically generated synthetic test datasets formed from continuous trivariate functions.Such functions enable accuracy analysis versus ground truth. The framework is also described here.","PeriodicalId":39283,"journal":{"name":"Journal of WSCG","volume":"56 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"New Methods and Novel Framework for HypersurfaceCurvature Determination and Analysis\",\"authors\":\"Jacob D. Hauenstein, Timothy S Newman\",\"doi\":\"10.24132/jwscg.2021.29.2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"New methods for hypersurface (that is, 3-dimensional manifold) curvature determination in volumetric data areintroduced. One method is convolution-based. Another method is spline-based. Method accuracy is also analyzed,with that analysis involving comparison of the methods with each other as well as against two existing convolution-based methods. The accuracy analysis utilizes a novel framework that enables curvature determination methodaccuracy analysis via dynamically generated synthetic test datasets formed from continuous trivariate functions.Such functions enable accuracy analysis versus ground truth. The framework is also described here.\",\"PeriodicalId\":39283,\"journal\":{\"name\":\"Journal of WSCG\",\"volume\":\"56 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of WSCG\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.24132/jwscg.2021.29.2\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Computer Science\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of WSCG","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24132/jwscg.2021.29.2","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Computer Science","Score":null,"Total":0}
New Methods and Novel Framework for HypersurfaceCurvature Determination and Analysis
New methods for hypersurface (that is, 3-dimensional manifold) curvature determination in volumetric data areintroduced. One method is convolution-based. Another method is spline-based. Method accuracy is also analyzed,with that analysis involving comparison of the methods with each other as well as against two existing convolution-based methods. The accuracy analysis utilizes a novel framework that enables curvature determination methodaccuracy analysis via dynamically generated synthetic test datasets formed from continuous trivariate functions.Such functions enable accuracy analysis versus ground truth. The framework is also described here.