{"title":"Enhancing Dental Radiographic Images in Spline-Type Spaces","authors":"D. Onchis, S. Gotia","doi":"10.1109/SYNASC.2014.80","DOIUrl":null,"url":null,"abstract":"The aim of this paper is to propose a method to enhance the acquisition resolution of dental radiographic images to facilitate the clinical examination and interpretation. The algorithm is based on the approximation properties of spline-type spaces with multiple generators. These spaces are obtained by applying a discrete group of translation operators to a finite set of smooth functions, forming a Riesz basis for its closed linear span within the Hilbert space L2(R2). For computational efficiency a parallel approach to the algorithm is also proposed. The experiments show that the algorithm allows to increase the resolution of dental radiographic images to sub -- pixel levels.","PeriodicalId":150575,"journal":{"name":"2014 16th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2014-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2014 16th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SYNASC.2014.80","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
The aim of this paper is to propose a method to enhance the acquisition resolution of dental radiographic images to facilitate the clinical examination and interpretation. The algorithm is based on the approximation properties of spline-type spaces with multiple generators. These spaces are obtained by applying a discrete group of translation operators to a finite set of smooth functions, forming a Riesz basis for its closed linear span within the Hilbert space L2(R2). For computational efficiency a parallel approach to the algorithm is also proposed. The experiments show that the algorithm allows to increase the resolution of dental radiographic images to sub -- pixel levels.