LEADER 03259nam 22005775 450 001 9910338250303321 005 20200703030220.0 010 $a3-658-25390-8 024 7 $a10.1007/978-3-658-25390-5 035 $a(CKB)4100000007656805 035 $a(DE-He213)978-3-658-25390-5 035 $a(MiAaPQ)EBC5709715 035 $a(PPN)235003115 035 $a(EXLCZ)994100000007656805 100 $a20190214d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aVariational Regularization for Systems of Inverse Problems$b[electronic resource] $eTikhonov Regularization with Multiple Forward Operators /$fby Richard Huber 205 $a1st ed. 2019. 210 1$aWiesbaden :$cSpringer Fachmedien Wiesbaden :$cImprint: Springer Spektrum,$d2019. 215 $a1 online resource (IX, 136 p. 1 illus.) 225 1 $aBestMasters,$x2625-3577 311 $a3-658-25389-4 327 $aGeneral Tikhonov Regularization -- Specific Discrepancies -- Regularization Functionals -- Application to STEM Tomography Reconstruction. 330 $aTikhonov regularization is a cornerstone technique in solving inverse problems with applications in countless scienti?c ?elds. Richard Huber discusses a multi-parameter Tikhonov approach for systems of inverse problems in order to take advantage of their speci?c structure. Such an approach allows to choose the regularization weights of each subproblem individually with respect to the corresponding noise levels and degrees of ill-posedness. Contents General Tikhonov Regularization Specific Discrepancies Regularization Functionals Application to STEM Tomography Reconstruction Target Groups Researchers and students in the field of mathematics Experts in the areas of mathematics, imaging, computer vision and nanotechnology The Author Richard Huber wrote his master?s thesis under the supervision of Prof. Dr. Kristian Bredies at the Institute for Mathematics and Scientific Computing at Graz University, Austria. 410 0$aBestMasters,$x2625-3577 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aMathematical analysis 606 $aAnalysis (Mathematics) 606 $aComputer mathematics 606 $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003 606 $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007 606 $aComputational Mathematics and Numerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M1400X 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aMathematical analysis. 615 0$aAnalysis (Mathematics). 615 0$aComputer mathematics. 615 14$aApplications of Mathematics. 615 24$aAnalysis. 615 24$aComputational Mathematics and Numerical Analysis. 676 $a519 700 $aHuber$b Richard$4aut$4http://id.loc.gov/vocabulary/relators/aut$0780949 906 $aBOOK 912 $a9910338250303321 996 $aVariational Regularization for Systems of Inverse Problems$91668072 997 $aUNINA