{"title":"图像子带的树编码","authors":"S. Nanda, W. Pearlman","doi":"10.1109/ICASSP.1988.196698","DOIUrl":null,"url":null,"abstract":"It is proved that optimal coding of image subbands achieves the ultimate rate-distortion performance for Gaussian sources with squared-error distortion. Optimal performance is achieved only asymptotically with infinite-size source sequences. The approach of the rate-distortion function of finite-size sequences to its limit is investigated and a bound is derived that shows a potentially closer approach for coding subbands that for the full band. A suboptimal realization of an optimal tree coding method is used to encode both the full-band image and its subbands at 1.0 bit per pixel. The subband tree-coded image is more than 2 dB better in SNR and its overall performance is nearly comparable to that of the best schemes known to date.<<ETX>>","PeriodicalId":448544,"journal":{"name":"ICASSP-88., International Conference on Acoustics, Speech, and Signal Processing","volume":"7 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1988-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Tree coding of image sub-bands\",\"authors\":\"S. Nanda, W. Pearlman\",\"doi\":\"10.1109/ICASSP.1988.196698\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"It is proved that optimal coding of image subbands achieves the ultimate rate-distortion performance for Gaussian sources with squared-error distortion. Optimal performance is achieved only asymptotically with infinite-size source sequences. The approach of the rate-distortion function of finite-size sequences to its limit is investigated and a bound is derived that shows a potentially closer approach for coding subbands that for the full band. A suboptimal realization of an optimal tree coding method is used to encode both the full-band image and its subbands at 1.0 bit per pixel. The subband tree-coded image is more than 2 dB better in SNR and its overall performance is nearly comparable to that of the best schemes known to date.<<ETX>>\",\"PeriodicalId\":448544,\"journal\":{\"name\":\"ICASSP-88., International Conference on Acoustics, Speech, and Signal Processing\",\"volume\":\"7 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1988-04-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ICASSP-88., International Conference on Acoustics, Speech, and Signal Processing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICASSP.1988.196698\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ICASSP-88., International Conference on Acoustics, Speech, and Signal Processing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICASSP.1988.196698","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
It is proved that optimal coding of image subbands achieves the ultimate rate-distortion performance for Gaussian sources with squared-error distortion. Optimal performance is achieved only asymptotically with infinite-size source sequences. The approach of the rate-distortion function of finite-size sequences to its limit is investigated and a bound is derived that shows a potentially closer approach for coding subbands that for the full band. A suboptimal realization of an optimal tree coding method is used to encode both the full-band image and its subbands at 1.0 bit per pixel. The subband tree-coded image is more than 2 dB better in SNR and its overall performance is nearly comparable to that of the best schemes known to date.<>