{"title":"曲面的三维仿射不变量","authors":"Dong Xu, Hua Li","doi":"10.1109/CCPR.2008.26","DOIUrl":null,"url":null,"abstract":"A new kind of weighted surface moments is defined which can achieve affine invariance for unclosed surfaces. We can also select a corresponding point and build a pseudo-solid for surface and compute the affine volume moment invariants. We test the invariance of the two affine moment invariants on a 3D terrain map and a 3D face scan. The experimental result reveals that the weighted surface moment invariants are highly robust to shape deformations and numerical computation.","PeriodicalId":292956,"journal":{"name":"2008 Chinese Conference on Pattern Recognition","volume":"101 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"3D Affine Moment Invariants for Surfaces\",\"authors\":\"Dong Xu, Hua Li\",\"doi\":\"10.1109/CCPR.2008.26\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A new kind of weighted surface moments is defined which can achieve affine invariance for unclosed surfaces. We can also select a corresponding point and build a pseudo-solid for surface and compute the affine volume moment invariants. We test the invariance of the two affine moment invariants on a 3D terrain map and a 3D face scan. The experimental result reveals that the weighted surface moment invariants are highly robust to shape deformations and numerical computation.\",\"PeriodicalId\":292956,\"journal\":{\"name\":\"2008 Chinese Conference on Pattern Recognition\",\"volume\":\"101 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-10-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2008 Chinese Conference on Pattern Recognition\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CCPR.2008.26\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2008 Chinese Conference on Pattern Recognition","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CCPR.2008.26","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A new kind of weighted surface moments is defined which can achieve affine invariance for unclosed surfaces. We can also select a corresponding point and build a pseudo-solid for surface and compute the affine volume moment invariants. We test the invariance of the two affine moment invariants on a 3D terrain map and a 3D face scan. The experimental result reveals that the weighted surface moment invariants are highly robust to shape deformations and numerical computation.