{"title":"通过边缘适应多尺度变换的图像紧凑表示","authors":"A. Cohen, Basarab Matei","doi":"10.1109/ICIP.2001.958938","DOIUrl":null,"url":null,"abstract":"We introduce new multiscale representations for images which incorporate a specific geometric treatment of edges. The associated transforms are inherently nonlinear and nontensor product, in contrast to classical wavelet basis decompositions over which they exhibit visual improvement in terms of compression. This approach can be viewed as a bridge between edge detection and the nonlinear multiresolution representations of Ami Harten (see Journal of Applied Numerical Mathematics, vol.12, p.153-93, 1993).","PeriodicalId":291827,"journal":{"name":"Proceedings 2001 International Conference on Image Processing (Cat. No.01CH37205)","volume":"30 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"69","resultStr":"{\"title\":\"Compact representation of images by edge adapted multiscale transforms\",\"authors\":\"A. Cohen, Basarab Matei\",\"doi\":\"10.1109/ICIP.2001.958938\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We introduce new multiscale representations for images which incorporate a specific geometric treatment of edges. The associated transforms are inherently nonlinear and nontensor product, in contrast to classical wavelet basis decompositions over which they exhibit visual improvement in terms of compression. This approach can be viewed as a bridge between edge detection and the nonlinear multiresolution representations of Ami Harten (see Journal of Applied Numerical Mathematics, vol.12, p.153-93, 1993).\",\"PeriodicalId\":291827,\"journal\":{\"name\":\"Proceedings 2001 International Conference on Image Processing (Cat. No.01CH37205)\",\"volume\":\"30 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-10-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"69\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings 2001 International Conference on Image Processing (Cat. No.01CH37205)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICIP.2001.958938\",\"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 2001 International Conference on Image Processing (Cat. No.01CH37205)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICIP.2001.958938","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 69
摘要
我们为图像引入了新的多尺度表示,其中包含了边缘的特定几何处理。相关变换本质上是非线性和非张量积,与经典小波基分解相比,它们在压缩方面表现出明显的改进。这种方法可以看作是边缘检测和Ami Harten的非线性多分辨率表示之间的桥梁(见Journal of Applied Numerical Mathematics, vol.12, p.153-93, 1993)。
Compact representation of images by edge adapted multiscale transforms
We introduce new multiscale representations for images which incorporate a specific geometric treatment of edges. The associated transforms are inherently nonlinear and nontensor product, in contrast to classical wavelet basis decompositions over which they exhibit visual improvement in terms of compression. This approach can be viewed as a bridge between edge detection and the nonlinear multiresolution representations of Ami Harten (see Journal of Applied Numerical Mathematics, vol.12, p.153-93, 1993).