{"title":"Fitting the Discrete Swept Skeletal Representation to Slabular Objects","authors":"Mohsen Taheri, Stephen M. Pizer, Jörn Schulz","doi":"arxiv-2409.04079","DOIUrl":null,"url":null,"abstract":"Statistical shape analysis of slabular objects like groups of hippocampi is\nhighly useful for medical researchers as it can be useful for diagnoses and\nunderstanding diseases. This work proposes a novel object representation based\non locally parameterized discrete swept skeletal structures. Further, model\nfitting and analysis of such representations are discussed. The model fitting\nprocedure is based on boundary division and surface flattening. The quality of\nthe model fitting is evaluated based on the symmetry and tidiness of the\nskeletal structure as well as the volume of the implied boundary. The power of\nthe method is demonstrated by visual inspection and statistical analysis of a\nsynthetic and an actual data set in comparison with an available skeletal\nrepresentation.","PeriodicalId":501425,"journal":{"name":"arXiv - STAT - Methodology","volume":"67 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - STAT - Methodology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.04079","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Statistical shape analysis of slabular objects like groups of hippocampi is
highly useful for medical researchers as it can be useful for diagnoses and
understanding diseases. This work proposes a novel object representation based
on locally parameterized discrete swept skeletal structures. Further, model
fitting and analysis of such representations are discussed. The model fitting
procedure is based on boundary division and surface flattening. The quality of
the model fitting is evaluated based on the symmetry and tidiness of the
skeletal structure as well as the volume of the implied boundary. The power of
the method is demonstrated by visual inspection and statistical analysis of a
synthetic and an actual data set in comparison with an available skeletal
representation.
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