LEADER 06107nam 22007575 450 001 9910299976403321 005 20200705154228.0 010 $a3-319-08105-5 024 7 $a10.1007/978-3-319-08105-2 035 $a(CKB)3710000000249053 035 $a(EBL)1966982 035 $a(OCoLC)893676825 035 $a(SSID)ssj0001354134 035 $a(PQKBManifestationID)11868581 035 $a(PQKBTitleCode)TC0001354134 035 $a(PQKBWorkID)11317973 035 $a(PQKB)10617000 035 $a(MiAaPQ)EBC1966982 035 $a(DE-He213)978-3-319-08105-2 035 $a(PPN)18135036X 035 $a(EXLCZ)993710000000249053 100 $a20140927d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFractals, Wavelets, and their Applications $eContributions from the International Conference and Workshop on Fractals and Wavelets /$fedited by Christoph Bandt, Michael Barnsley, Robert Devaney, Kenneth J. Falconer, V. Kannan, Vinod Kumar P.B 205 $a1st ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014. 215 $a1 online resource (499 p.) 225 1 $aSpringer Proceedings in Mathematics & Statistics,$x2194-1009 ;$v92 300 $aDescription based upon print version of record. 311 $a3-319-08104-7 320 $aIncludes bibliographical references at the end of each chapters. 327 $aPart I: Fractal Theory -- Introduction to Fractals -- Geometry of self similar sets -- An introduction to Julia and Fatou set -- Crazy topology in complex dynamics -- Measure preserving fractal homeomorphisms -- The dimension theory of almost self affine sets and measures -- Countable alphabet non autonomous self affine sets -- On transverse hyperplanes to self similar Jordan arcs -- Fractals in product fuzzy metric space -- Some properties on Koch curve -- Projections of Mandelbrot percolation in higher dimensions -- Some examples of finite type fractals in three dimensional space -- Fractals in partial metric spaces -- Part II: Wavelet Theory -- Frames and extension problems I -- Frames and extension problems II -- Local fractal functions and function spaces -- Some historical precedents of the fractal functions -- A new class of rational quadratic fractal function with positive shape preservation -- Interval wavelets determined by points on the circle -- Construction of multi scaling functions using matrix polynomials -- A remark on reconstruction of splines from their local weighted average samples -- C1rational cubic fractal interpolation surface using functional values -- On fractal rational functions -- Part III: Applications of Fractals and Wavelets -- Innovation on the tortuous path: Fractal Electronics -- Permutation entropy analysis of EEG of mild cognitive impairment patients during memory activation task -- A multifractal based image analysis for cervical dysplasia classification -- Self similar network traffic modeling using fractal point process Markovian approach -- Validation of variance based fitting for self similar network traffic -- Self similar network traffic modeling using circulant Markov modulated poisson process -- Investigation of priority based optical packet switch under self similar variable length input traffic using matrix queuing theory -- Computationally efficient wavelet domain solver for fluorescence diffuse optical tomography -- Implementation of wavelet based and discrete cosine based algorithms on panchromatic image -- Trend, time series and wavelet analysis of river water dynamics -- An efficient wavelet based approximation method to film ? pore diffusion model arising in chemical engineering -- A new wavelet based hybrid method for Fisher type equations. 330 $aFractals and wavelets are emerging areas of mathematics with many common factors which can be used to develop new technologies. This volume contains the selected contributions from the lectures and plenary and invited talks given at the International Workshop and Conference on Fractals and Wavelets held at Rajagiri School of Engineering and Technology, India from November 9-12, 2013. Written by experts, the contributions hope to inspire and motivate researchers working in this area. They provide more insight into the areas of fractals, self similarity, iterated function systems, wavelets and the applications of both fractals and wavelets. This volume will be useful for the beginners as well as experts in the fields of fractals and wavelets. 410 0$aSpringer Proceedings in Mathematics & Statistics,$x2194-1009 ;$v92 606 $aDifferential geometry 606 $aMathematical analysis 606 $aAnalysis (Mathematics) 606 $aAlgebraic geometry 606 $aDifferential Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21022 606 $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007 606 $aAlgebraic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M11019 615 0$aDifferential geometry. 615 0$aMathematical analysis. 615 0$aAnalysis (Mathematics). 615 0$aAlgebraic geometry. 615 14$aDifferential Geometry. 615 24$aAnalysis. 615 24$aAlgebraic Geometry. 676 $a515.2433 702 $aBandt$b Christoph$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aBarnsley$b Michael$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aDevaney$b Robert$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aFalconer$b Kenneth J$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aKannan$b V$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aKumar P.B$b Vinod$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299976403321 996 $aFractals, wavelets, and their applications$91409874 997 $aUNINA