LEADER 05228nam 22006015 450 001 996465454603316 005 20200630145236.0 010 $a3-030-44613-1 024 7 $a10.1007/978-3-030-44613-0 035 $a(CKB)4100000011204595 035 $a(MiAaPQ)EBC6181565 035 $a(DE-He213)978-3-030-44613-0 035 $a(PPN)243763913 035 $a(EXLCZ)994100000011204595 100 $a20200422d2020 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFuzzy Transforms for Image Processing and Data Analysis$b[electronic resource] $eCore Concepts, Processes and Applications /$fby Ferdinando Di Martino, Salvatore Sessa 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 215 $a1 online resource (220 pages) 311 $a3-030-44612-3 327 $a1. Fuzzy Transform Concepts -- 2. Multi-dimensional High Degree Fuzzy Transform -- 3. Fuzzy Transform for Image and Video Compression -- 4. Fuzzy Transform Technique for Image Auto Focus -- 5. Fuzzy Transform for Image Fusion and Edge Detection. 330 $aThis book analyzes techniques that use the direct and inverse fuzzy transform for image processing and data analysis. The book is divided into two parts, the first of which describes methods and techniques that use the bi-dimensional fuzzy transform method in image analysis. In turn, the second describes approaches that use the multidimensional fuzzy transform method in data analysis. An F-transform in one variable is defined as an operator which transforms a continuous function f on the real interval [a,b] in an n-dimensional vector by using n-assigned fuzzy sets A1, ? , An which constitute a fuzzy partition of [a,b]. Then, an inverse F-transform is defined in order to convert the n-dimensional vector output in a continuous function that equals f up to an arbitrary quantity ?. We may limit this concept to the finite case by defining the discrete F-transform of a function f in one variable, even if it is not known a priori. A simple extension of this concept to functions in two variables allows it to be used for the coding/decoding and processing of images. Moreover, an extended version with multidimensional functions can be used to address a host of topics in data analysis, including the analysis of large and very large datasets. Over the past decade, many researchers have proposed applications of fuzzy transform techniques for various image processing topics, such as image coding/decoding, image reduction, image segmentation, image watermarking and image fusion; and for such data analysis problems as regression analysis, classification, association rule extraction, time series analysis, forecasting, and spatial data analysis. The robustness, ease of use, and low computational complexity of fuzzy transforms make them a powerful fuzzy approximation tool suitable for many computer science applications. This book presents methods and techniques based on the use of fuzzy transforms in various applications of image processing and data analysis, including image segmentation, image tamper detection, forecasting, and classification, highlighting the benefits they offer compared with traditional methods. Emphasis is placed on applications of fuzzy transforms to innovative problems, such as massive data mining, and image and video security in social networks based on the application of advanced fragile watermarking systems. This book is aimed at researchers, students, computer scientists and IT developers to acquire the knowledge and skills necessary to apply and implement fuzzy transforms-based techniques in image and data analysis applications. 606 $aOptical data processing 606 $aData mining 606 $aComputer science?Mathematics 606 $aArtificial intelligence 606 $aImage Processing and Computer Vision$3https://scigraph.springernature.com/ontologies/product-market-codes/I22021 606 $aData Mining and Knowledge Discovery$3https://scigraph.springernature.com/ontologies/product-market-codes/I18030 606 $aMath Applications in Computer Science$3https://scigraph.springernature.com/ontologies/product-market-codes/I17044 606 $aArtificial Intelligence$3https://scigraph.springernature.com/ontologies/product-market-codes/I21000 615 0$aOptical data processing. 615 0$aData mining. 615 0$aComputer science?Mathematics. 615 0$aArtificial intelligence. 615 14$aImage Processing and Computer Vision. 615 24$aData Mining and Knowledge Discovery. 615 24$aMath Applications in Computer Science. 615 24$aArtificial Intelligence. 676 $a511.322 700 $aDi Martino$b Ferdinando$4aut$4http://id.loc.gov/vocabulary/relators/aut$0306477 702 $aSessa$b Salvatore$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996465454603316 996 $aFuzzy Transforms for Image Processing and Data Analysis$92143220 997 $aUNISA