{"title":"齐次坐标系下的光流约束及其在最优速度估计中的应用","authors":"T. Yamaguchi","doi":"10.1109/SICE.2002.1195191","DOIUrl":null,"url":null,"abstract":"A method of estimating optical flow by introducing a projective space of two-dimensional velocity is proposed. This approach make it possible to analyze measurement error in both spatial- and temporal-differential coefficients of image in a unified manner. In this projective space, velocity estimation can be formulated based on singular value decomposition. It is proved from simulations that estimation error in velocity can be reduced.","PeriodicalId":301855,"journal":{"name":"Proceedings of the 41st SICE Annual Conference. SICE 2002.","volume":"16 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2002-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"17","resultStr":"{\"title\":\"Optical flow constraint in homogeneous coordinate and its application to optimal velocity estimation\",\"authors\":\"T. Yamaguchi\",\"doi\":\"10.1109/SICE.2002.1195191\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A method of estimating optical flow by introducing a projective space of two-dimensional velocity is proposed. This approach make it possible to analyze measurement error in both spatial- and temporal-differential coefficients of image in a unified manner. In this projective space, velocity estimation can be formulated based on singular value decomposition. It is proved from simulations that estimation error in velocity can be reduced.\",\"PeriodicalId\":301855,\"journal\":{\"name\":\"Proceedings of the 41st SICE Annual Conference. SICE 2002.\",\"volume\":\"16 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2002-08-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"17\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 41st SICE Annual Conference. SICE 2002.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SICE.2002.1195191\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 41st SICE Annual Conference. SICE 2002.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SICE.2002.1195191","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Optical flow constraint in homogeneous coordinate and its application to optimal velocity estimation
A method of estimating optical flow by introducing a projective space of two-dimensional velocity is proposed. This approach make it possible to analyze measurement error in both spatial- and temporal-differential coefficients of image in a unified manner. In this projective space, velocity estimation can be formulated based on singular value decomposition. It is proved from simulations that estimation error in velocity can be reduced.