{"title":"为什么在信号和图像处理中使用p-方法:基于模糊的解释","authors":"F. Cervantes, B. Usevitch, V. Kreinovich","doi":"10.1109/NAFIPS.2016.7851613","DOIUrl":null,"url":null,"abstract":"In signal and image processing, it is often beneficial to use semi-heuristic ℓ<inf>p</inf>-methods, i.e., methods that minimize the sum of the p-th powers of the discrepancies. In this paper, we show that a fuzzy-based analysis of the corresponding intuitive idea leads exactly to the ℓ<inf>p</inf>-methods.","PeriodicalId":208265,"journal":{"name":"2016 Annual Conference of the North American Fuzzy Information Processing Society (NAFIPS)","volume":"5 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Why ℓp-methods in signal and image processing: A fuzzy-based explanation\",\"authors\":\"F. Cervantes, B. Usevitch, V. Kreinovich\",\"doi\":\"10.1109/NAFIPS.2016.7851613\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In signal and image processing, it is often beneficial to use semi-heuristic ℓ<inf>p</inf>-methods, i.e., methods that minimize the sum of the p-th powers of the discrepancies. In this paper, we show that a fuzzy-based analysis of the corresponding intuitive idea leads exactly to the ℓ<inf>p</inf>-methods.\",\"PeriodicalId\":208265,\"journal\":{\"name\":\"2016 Annual Conference of the North American Fuzzy Information Processing Society (NAFIPS)\",\"volume\":\"5 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2016 Annual Conference of the North American Fuzzy Information Processing Society (NAFIPS)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/NAFIPS.2016.7851613\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2016 Annual Conference of the North American Fuzzy Information Processing Society (NAFIPS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/NAFIPS.2016.7851613","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Why ℓp-methods in signal and image processing: A fuzzy-based explanation
In signal and image processing, it is often beneficial to use semi-heuristic ℓp-methods, i.e., methods that minimize the sum of the p-th powers of the discrepancies. In this paper, we show that a fuzzy-based analysis of the corresponding intuitive idea leads exactly to the ℓp-methods.