{"title":"Reconstruction of Euclidean planes from voxels","authors":"T. Linh, A. Imiya","doi":"10.1109/TDPVT.2004.1335395","DOIUrl":null,"url":null,"abstract":"We aim to formulate the recognition of a planes from a discrete point set as a nonlinear optimization problem, and we prove a uniqueness theorem for the solution of this problem. We deal with the supercover model in a space for the expression of discrete planes. The algorithm achieves invertible data compression of digital objects, since the algorithm transforms a collection voxels to a collection of plane parameters, which classify the voxels.","PeriodicalId":191172,"journal":{"name":"Proceedings. 2nd International Symposium on 3D Data Processing, Visualization and Transmission, 2004. 3DPVT 2004.","volume":"48 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2004-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings. 2nd International Symposium on 3D Data Processing, Visualization and Transmission, 2004. 3DPVT 2004.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/TDPVT.2004.1335395","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
We aim to formulate the recognition of a planes from a discrete point set as a nonlinear optimization problem, and we prove a uniqueness theorem for the solution of this problem. We deal with the supercover model in a space for the expression of discrete planes. The algorithm achieves invertible data compression of digital objects, since the algorithm transforms a collection voxels to a collection of plane parameters, which classify the voxels.