{"title":"一类形态约束Gibbs随机场的MAP估计","authors":"K. Sivakumar, J. Goutsias","doi":"10.1109/ICIP.1998.723320","DOIUrl":null,"url":null,"abstract":"We revisit the problem of non-linear image filtering by means of maximum-a-posteriori (MAP) estimation and mathematical morphology. Based on \"mild\" modeling assumptions, we bound the optimal MAP estimate from above and below and provide explicit morphological expressions for such bounds. The derived bounds can be easily calculated and effectively used to design a fast MAP algorithm.","PeriodicalId":220168,"journal":{"name":"Proceedings 1998 International Conference on Image Processing. ICIP98 (Cat. No.98CB36269)","volume":"13 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1998-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"MAP estimation of a class of morphologically constrained Gibbs random fields\",\"authors\":\"K. Sivakumar, J. Goutsias\",\"doi\":\"10.1109/ICIP.1998.723320\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We revisit the problem of non-linear image filtering by means of maximum-a-posteriori (MAP) estimation and mathematical morphology. Based on \\\"mild\\\" modeling assumptions, we bound the optimal MAP estimate from above and below and provide explicit morphological expressions for such bounds. The derived bounds can be easily calculated and effectively used to design a fast MAP algorithm.\",\"PeriodicalId\":220168,\"journal\":{\"name\":\"Proceedings 1998 International Conference on Image Processing. ICIP98 (Cat. No.98CB36269)\",\"volume\":\"13 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1998-10-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings 1998 International Conference on Image Processing. ICIP98 (Cat. No.98CB36269)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICIP.1998.723320\",\"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 1998 International Conference on Image Processing. ICIP98 (Cat. No.98CB36269)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICIP.1998.723320","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
MAP estimation of a class of morphologically constrained Gibbs random fields
We revisit the problem of non-linear image filtering by means of maximum-a-posteriori (MAP) estimation and mathematical morphology. Based on "mild" modeling assumptions, we bound the optimal MAP estimate from above and below and provide explicit morphological expressions for such bounds. The derived bounds can be easily calculated and effectively used to design a fast MAP algorithm.