{"title":"凸集投影法的图像恢复","authors":"M. Sezan","doi":"10.1364/srs.1983.wa8","DOIUrl":null,"url":null,"abstract":"In this paper we use the method of projections onto convex sets (POCS) to restore an image for which only partial knowledge of the Fourier transform is available. A spectacular improvement over the Gerchberg-Papoulis restoration is observed when the number of iterations is small.","PeriodicalId":279385,"journal":{"name":"Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Image Restoration by the Method of Projections onto Convex Sets\",\"authors\":\"M. Sezan\",\"doi\":\"10.1364/srs.1983.wa8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we use the method of projections onto convex sets (POCS) to restore an image for which only partial knowledge of the Fourier transform is available. A spectacular improvement over the Gerchberg-Papoulis restoration is observed when the number of iterations is small.\",\"PeriodicalId\":279385,\"journal\":{\"name\":\"Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1364/srs.1983.wa8\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1364/srs.1983.wa8","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Image Restoration by the Method of Projections onto Convex Sets
In this paper we use the method of projections onto convex sets (POCS) to restore an image for which only partial knowledge of the Fourier transform is available. A spectacular improvement over the Gerchberg-Papoulis restoration is observed when the number of iterations is small.