{"title":"彩色图像处理采用对数运算","authors":"V. Patrascu, V. Buzuloiu","doi":"10.1109/SCS.2003.1226966","DOIUrl":null,"url":null,"abstract":"In this paper, we present a mathematical model for color image processing. It is a logarithmic one. We consider the cube (-1, 1)3 as the set of values for the color space. We define two operations: addition (+) and real scalar multiplication (×). With these operations the space of colors becomes a real vector space. Then defining the scalar product (.|.) and the norm || · ||, we obtain a (logarithmic) Euclidean space. We show how we can use this model for color image enhancement and we present some experimental results.","PeriodicalId":375963,"journal":{"name":"Signals, Circuits and Systems, 2003. SCS 2003. International Symposium on","volume":"29 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2003-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Color image processing using logarithmic operations\",\"authors\":\"V. Patrascu, V. Buzuloiu\",\"doi\":\"10.1109/SCS.2003.1226966\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we present a mathematical model for color image processing. It is a logarithmic one. We consider the cube (-1, 1)3 as the set of values for the color space. We define two operations: addition (+) and real scalar multiplication (×). With these operations the space of colors becomes a real vector space. Then defining the scalar product (.|.) and the norm || · ||, we obtain a (logarithmic) Euclidean space. We show how we can use this model for color image enhancement and we present some experimental results.\",\"PeriodicalId\":375963,\"journal\":{\"name\":\"Signals, Circuits and Systems, 2003. SCS 2003. International Symposium on\",\"volume\":\"29 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2003-07-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Signals, Circuits and Systems, 2003. SCS 2003. International Symposium on\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SCS.2003.1226966\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Signals, Circuits and Systems, 2003. SCS 2003. International Symposium on","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SCS.2003.1226966","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Color image processing using logarithmic operations
In this paper, we present a mathematical model for color image processing. It is a logarithmic one. We consider the cube (-1, 1)3 as the set of values for the color space. We define two operations: addition (+) and real scalar multiplication (×). With these operations the space of colors becomes a real vector space. Then defining the scalar product (.|.) and the norm || · ||, we obtain a (logarithmic) Euclidean space. We show how we can use this model for color image enhancement and we present some experimental results.