% % This file was created by the TYPO3 extension % publications % --- Timezone: CEST % Creation date: 2024-03-29 % Creation time: 10:09:20 % --- Number of references % 40 % @Article { Fischer.2023, author = {Fischer, R. and Hufnagel, E. and Lang, Th. and Clau{\"s}en, J. and Gerth, S. and Sauer, T.}, title = {A Demonstrator for Threat Detection in Volumetric CT Scans}, year = {2023}, journal = {e--Journal of Nondestructive Testing}, volume = {28} } @Article { Contronei.2023, author = {Contronei, M. and Moosm{\"u}ller, C. and Sauer, T. and Sissouno, N.}, title = {Hermite multiwavelets for manifold--valued data}, year = {2023}, journal = {Adv. Comput. Math.}, volume = {49}, number = {40} } @Article { Lang.2023, author = {Lang, Th. and Saeidnezhad, N. and Dremel, K. and Weller, D. and Diez, M. and Stock, A. M. and Sauer, T. and Cianciosi, F. and Jarnias, Ch. and Tafforeau, P. and Zabler, S.}, title = {Multiscale Phase--Contrast Tomography at BM18}, year = {2023}, journal = {e--Journal of Nondestructive Testing}, volume = {28} } @Inproceedings { Lang.2023b, author = {Lang, Th. and Sauer, T. and Wittenberg, Th. and Gerth, S. and Uhlmann, N.}, title = {OntoSeg -- Segmentation of Large Volumetric Datasets Using S emantic Knowledge}, year = {2023}, DOI = {10.1109/ICSC56153.2023.00016}, booktitle = {2023 IEEE 17th International Conference on Semantic Computing (ICSC)}, pages = {65--72} } @Incollection { Lyche.2022, author = {Lyche, Tom and Merrien, Jean--Louis. and Sauer, Tomas}, title = {Simplex--Splines on the Clough--Tocher Split with Arbitrary Smoothness}, year = {2022}, booktitle = {Geometric Challenges in Isogeometric Analysis}, volume = {49}, publisher = {Springer}, series = {INdAM}, editor = {Manni, C. and Speleers, H}, pages = {85--123} } @Article { Charina.2021, author = {Charina, Maria and Conti, Constanza. and Cotronei, Marieantonia and Sauer, Tomas}, title = {Bivariate two--band wavelets demystified}, year = {2021}, DOI = {10.1016/j.laa.2020.08.013}, journal = {Lin. Alg. Appl.}, volume = {608}, pages = {13--36} } @Book { Sauer.2021, author = {Sauer, Tomas}, title = {Continued Fractions and Signal Processing}, abstract = {1. Continued fractions and what can be done with them -- 2. Continued fractions of real numbers -- 3. Rational functions as continued fractions of polynomials -- 4.Continued Fractions and Gauss -- 5. Continued Fractions and Prony -- 6. Digital Signal processing -- 7.Contined Fractions, Hurwitz and Stieltjes. Besides their well--known value in number theory, continued fractions are also a useful tool in modern numerical applications and computer science. The goal of the book is to revisit the almost forgotten classical theory and to contextualize it for contemporary numerical applications and signal processing, thus enabling students and scientist to apply classical mathematics on recent problems. The books tries to be mostly self--contained and to make the material accessible for all interested readers. This provides a new view from an applied perspective, combining the classical recursive techniques of continued fractions with orthogonal problems, moment problems, Prony's problem of sparse recovery and the design of stable rational filters, which are all connected by continued fractions.}, year = {2021}, isbn = {978--3--030--84359--5}, DOI = {10.1007/978--3--030--84360--1}, publisher = {Imprint Springer}, address = {Cham}, series = {Springer eBook Collection} } @Article { Merrien.2021, author = {Merrien, Jean--Louis and Sauer, Tomas}, title = {Extra Regularity of Hermite Subdivision Schemes}, year = {2021}, DOI = {10.14658/pupj--ijse--2021--2--10}, journal = {Dolomites Research Notes on Approximation}, volume = {14}, pages = {85--94} } @Article { Moosmuller.2021, author = {Moosm{\"u}ller, Caroline and Sauer, Tomas}, title = {Factorization of Hermite subdivision operators from polynomial over--reproduction}, year = {2021}, DOI = {10.1016/j.jat.2021.105645}, journal = {J. Approx. Theory}, volume = {271} } @Article { Reitberger.2020, author = {Reitberger, G{\"u}nther and Sauer, Tomas}, title = {Background Subtraction using Adaptive Singular Value Decomposition}, year = {2020}, DOI = {10.1007/s10851--020--00967--4}, journal = {J. Math. Imaging Vision}, volume = {62}, pages = {1159----1172} } @Article { Stock.2020, author = {Stock, Andreas Michael and Herl, G. and Sauer, Tomas and Hiller, J.}, title = {Edge preserving compression of CT scans using wavelets}, year = {2020}, DOI = {10.1784/insi.2020.62.6.345}, journal = {Insight}, volume = {62}, pages = {1----7}, number = {6} } @Article { Pratico.2020, author = {Pratic{\`o}, F. G. and Fedele, Rosario and Naumov, V. and Sauer, Tomas}, title = {Identification and monitoring of concealed cracks in road pavement using a machine--learning approach}, year = {2020}, DOI = {10.3390/a13040081}, journal = {Algorithms}, volume = {13}, pages = {81----96} } @Article { Diederichs.2020, author = {Diederichs, Benedikt and Sauer, Tomas and Stock, Andreas Michael}, title = {Mathematical Aspects of Computerized Tomography: Compression and Compressed Computing}, year = {2020}, journal = {Monograf{\'i}as Matem{\'a}ticas Garc{\'i}a de Galdeano}, volume = {42}, howpublished = {MASCOT proceedings in MATCOM}, pages = {79----93} } @Article { Cotronei.2020, author = {Cotronei, Mariantonia and R{\"u}weler, D{\"o}rte and Sauer, Tomas}, title = {Multiple filterbanks for image processing: implementation issues}, year = {2020}, DOI = {10.1016/j.matcom.2019.11.010}, journal = {Math. Comput. Simulation}, volume = {176}, pages = {147----159} } @Article { Carnicer.2020, author = {Carnicer, Jesus and God{\'e}s, Carmen and Sauer, Tomas}, title = {Radon's construction and matrix relations generating syzygies}, year = {2020}, DOI = {10.1007/s00605--020--01383--x}, journal = {Monatsh. Math.}, volume = {192}, pages = {311----332} } @Incollection { Drost.2020, author = {Drost, Ludger and Grams, Frauke and Hofstetter, Adolf and M{\"a}rz, Magdalena and Rehbein, Malte and Sauer, Tomas and Schilz, Andrea}, title = {Semantischer und physischer Raum. ViSIT -- eine Fallstudie zur Brautkrone der Herzogin Hedwig von Niederbayern}, year = {2020}, DOI = {10.11588/arthistoricum.774}, booktitle = {Digitale Raumdarstellung: Barocke Deckenmalerei und Virtual Reality}, volume = {4}, publisher = {arthistoricum.net}, series = {Computing in Art and Architecture}, editor = {Hoppe, S. and Locher, H. and Burioni, M.} } @Article { Cotronei.2019, author = {Cotronei, Mariantonia and Rossini, Milvia and Sauer, Tomas and Volont{\`e}, Elena}, title = {Filters for anisotropic wavelet decompositions}, year = {2019}, DOI = {10.1016/j.cam.2018.09.015}, journal = {J. Comput. Appl. Math.}, volume = {349}, pages = {316----330} } @Article { Merrien.2019, author = {Merrien, Juan--Louis and Sauer, Tomas}, title = {Generalized Taylor operators and polynomial chains for Hermite subdivision schemes}, year = {2019}, DOI = {10.1007/s00211--018--0996--9}, journal = {Numer. Math.}, volume = {142}, pages = {167----203} } @Article { Bossmann.2019, author = {Bossmann, Florian and Sauer, Tomas and Sissouno, Nada}, title = {Modeling variational inpainting methods with splines}, year = {2019}, DOI = {10.3389/fams.2019.00027}, journal = {Front. Appl. Math. Stat.} } @Article { Pena.2019, author = {Pe{\~n}a, Juan--Manual and Sauer, Tomas}, title = {Update methods for the thin SVD and applications}, year = {2019}, DOI = {10.1016/j.laa.2018.09.014}, journal = {Lin. Alg. Appl.}, volume = {561}, pages = {41----62} } @Article { Sauer.2018, author = {Sauer, Tomas}, title = {Companion matrices and joint eigenvectors of commuting families of matrices for polynomial zero finding}, year = {2018}, journal = {Monograf{\'i}as Matem{\'a}ticas Garc{\'i}a de Galdeano}, pages = {171------185}, number = {41} } @Article { Carnicer.2018, author = {Carnicer, Jesus and Sauer, Tomas}, title = {Observations on interpolation by total degree polynomials in two variables}, year = {2018}, DOI = {10.1007/s00365--017--9380--8}, journal = {Constr. Approx.}, volume = {47}, pages = {373----389} } @Article { Sauer.2018b, author = {Sauer, Tomas}, title = {Prony's method: an old trick for new problems}, year = {2018}, DOI = {10.14760/SNAP--2018--004--EN}, journal = {Snapshots of modern mathematics from Oberwolfach} } @Article { Conti.2017, author = {Conti, C. and Cotronei, M. and Sauer, Tomas}, title = {Convergence of level dependent Hermite subdivision schemes}, year = {2017}, DOI = {10.1016/j.apnum.2017.02.011}, journal = {Appl. Numer. Math.}, volume = {116}, pages = {119----128} } @Article { Merrien.2017, author = {Merrien, Jean--Louis and Sauer, Tomas}, title = {Extended Hermite subdivision schemes}, year = {2017}, DOI = {10.1016/j.cam.2016.12.002}, journal = {J. Comput. Appl. Math.}, volume = {317}, pages = {343----361} } @Article { Sauer.2017b, author = {Sauer, Tomas}, title = {Prony's method in several variables}, year = {2017}, DOI = {10.1007/s00211--016--0844--8}, journal = {Numer. Math.}, volume = {136}, pages = {411----438} } @Article { Sauer.2017a, author = {Sauer, Tomas}, title = {Prony's method in several variables: Symbolic solutions by universal interpolation}, year = {2017}, DOI = {10.1016/j.jsc.2017.03.006}, journal = {J. Symbolic Comput.}, volume = {84}, pages = {95----112} } @Inproceedings { Sauer.2017, author = {Sauer, Tomas}, title = {Reconstructing sparse exponential polynomials from samples: Difference operators, Stirling numbers and Hermite interpolation}, year = {2017}, booktitle = {Mathematical Methods for Curves and Surfaces: 9th International Conference, MMCS 2016, Tønsberg, Norway, June 23–28, 2016, Revised Selected Papers}, volume = {10521}, publisher = {Springer}, series = {Lecture Notes in Computer Science}, editor = {Floater, M. and Lyche, T. and Mazure, M.--L. and Moerken, K. and Schumaker, L.--L}, pages = {233----251} } @Inbook { Sauer.2017c, author = {Sauer, Tomas}, title = {Spieltheorie}, year = {2017}, isbn = {978--3--8325--4472--0}, publisher = {Logos--Verlag}, address = {Berlin}, pages = {131} } @Article { Conti.2016, author = {Conti, C. and Cotronei, M. and Sauer, Tomas}, title = {Hermite subdivision schemes, exponential polynomial generation, and annihilators}, year = {2016}, DOI = {10.1007/s10444--016--9453--4}, journal = {Advances Comput. Math.}, volume = {42}, pages = {1055----1079} } @Article { Sauer.2016, author = {Sauer, Tomas}, title = {Kernels of discrete convolutions and subdivision operators}, year = {2016}, DOI = {10.1007/s10440--016--0051--8}, journal = {Acta Appl. Math.}, volume = {145}, pages = {115----131} } @Article { Cotronei.2015, author = {Cotronei, M. and Ghisi, D. and Rossini, M. and Sauer, Tomas}, title = {An anisotropic directional subdivision and multiresolution}, year = {2015}, journal = {Advances Comput. Math.}, volume = {41}, pages = {709----726} } @Article { Bozzini.2015, author = {Bozzini, M. and Ghisi, D. and Rossini, M. and Sauer, Tomas}, title = {Directional transforms and pseudo--commuting properties}, year = {2015}, journal = {Monografi{\'a}s Matematic{\'a}s Garcia de Galdeano}, volume = {40}, pages = {29----41} } @Inproceedings { Sauer.2015, author = {Sauer, Tomas}, title = {Linear Algebra methods for nonlinear algebraic problems and applications}, year = {2015}, booktitle = {Proceedings of the XXIV Congress on Differential Equations and Applications, XIV Congress on Applied Mathematics}, editor = {J. M. D{\'i}az Moreno, J. C. D{\'i}az Moreno, C. Garc{\'i}a V{\'a}zquez, J. Medina Moreno, F. Orteg{\'o}n Gallego, C. P{\'e}rez Mart{\'i}nez, M. V. Redondo Neble and J. R. Rodr{\'i}guez Galv{\'a}n}, pages = {31----43} } @Incollection { Hamm.2014, author = {Hamm, Carsten and Sauer, Tomas and Zimmermann, Florian}, title = {Hermite Interpolation with Rational Splines with Free Weights}, year = {2014}, isbn = {978--3--642--54381--4}, DOI = {10.1007/978--3--642--54382--1{\textunderscore}13}, booktitle = {Mathematical Methods for Curves and Surfaces}, volume = {8177}, publisher = {Springer Berlin Heidelberg}, address = {Berlin/Heidelberg}, series = {Lecture Notes in Computer Science / Theoretical Computer Science and General Issues}, editor = {Floater, Michael and Lyche, Tom and Mazure, Marie--Laurence and Morken, Knut}, pages = {230----237} } @Article { Carnicer.2014, author = {Carnicer, J. and Sauer, Tomas}, title = {Leibniz rules for multivariate divided differences}, year = {2014}, DOI = {10.1016/j.jat.2014.02.002}, journal = {J. Approx. Theory}, volume = {181}, pages = {43----53} } @Article { Sauer.2014, author = {Sauer, Tomas}, title = {The continuous wavelet transform: Fast implementation and pianos.}, year = {2014}, journal = {Monografi{\'a}s Matematic{\'a}s Garcia de Galdeano}, pages = {187----194}, number = {39} } @Incollection { Alkafafi.2014, author = {Alkafafi, Loay and Hamm, Carsten and Sauer, Tomas}, title = {Vibrational Error Extraction Method Based on Wavelet Technique}, year = {2014}, isbn = {978--3--642--54381--4}, DOI = {10.1007/978--3--642--54382--1{\textunderscore}1}, booktitle = {Mathematical Methods for Curves and Surfaces}, volume = {8177}, publisher = {Springer Berlin Heidelberg}, address = {Berlin/Heidelberg}, series = {Lecture Notes in Computer Science / Theoretical Computer Science and General Issues}, editor = {Floater, Michael and Lyche, Tom and Mazure, Marie--Laurence and Morken, Knut}, pages = {1----12} } @Article { Merrien.2012, author = {Merrien, Jean--Louis and Sauer, Tomas}, title = {From Hermite to stationary subdivision schemes in one and several variables}, year = {2012}, journal = {Advances Comput. Math}, volume = {36}, pages = {547----579} } @Article { Carnicer.2009, author = {Carnicer, J. and Gasca, M. and Sauer, Tomas}, title = {Aitken--Neville sets, principal lattices and divided differences}, year = {2009}, journal = {J. Approx. Theor.}, volume = {156}, pages = {154----172} }