Veröffentlichungen

T. Lyche, J. Merrien and T. Sauer, "Simplex-Splines on the Clough-Tocher Split with Arbitrary Smoothness" in Geometric Challenges in Isogeometric Analysis , Manni, C. and Speleers, H, Eds. Springer , 2022 , pp. 85-123.

M. Charina, C. Conti, M. Cotronei and T. Sauer, "Bivariate two-band wavelets demystified" , Lin. Alg. Appl. , vol. 608 , pp. 13-36 , 2021.
DOI: 10.1016/j.laa.2020.08.013

T. Sauer, Continued Fractions and Signal Processing. .... Cham : Imprint Springer , 2021.
DOI: 10.1007/978-3-030-84360-1

J. Merrien and T. Sauer, "Extra Regularity of Hermite Subdivision Schemes" , Dolomites Research Notes on Approximation , vol. 14 , pp. 85-94 , 2021.
DOI: 10.14658/pupj-ijse-2021-2-10

C. Moosmüller and T. Sauer, "Factorization of Hermite subdivision operators from polynomial over-reproduction" , J. Approx. Theory , vol. 271 , 2021.
DOI: 10.1016/j.jat.2021.105645

G. Reitberger and T. Sauer, "Background Subtraction using Adaptive Singular Value Decomposition" , J. Math. Imaging Vision , vol. 62 , pp. 1159--1172 , 2020.
DOI: 10.1007/s10851-020-00967-4

A. M. Stock, G. Herl, T. Sauer and J. Hiller, "Edge preserving compression of CT scans using wavelets" , Insight , vol. 62 , no. 6 , pp. 1--7 , 2020.
DOI: 10.1784/insi.2020.62.6.345

F. G. Praticò, R. Fedele, V. Naumov and T. Sauer, "Identification and monitoring of concealed cracks in road pavement using a machine-learning approach" , Algorithms , vol. 13 , pp. 81--96 , 2020.
DOI: 10.3390/a13040081

B. Diederichs, T. Sauer and A. M. Stock, "Mathematical Aspects of Computerized Tomography: Compression and Compressed Computing" , Monografías Matemáticas García de Galdeano , vol. 42 , pp. 79--93 , 2020. MASCOT proceedings in MATCOM .

M. Cotronei, D. Rüweler and T. Sauer, "Multiple filterbanks for image processing: implementation issues" , Math. Comput. Simulation , vol. 176 , pp. 147--159 , 2020.
DOI: 10.1016/j.matcom.2019.11.010

J. Carnicer, C. Godés and T. Sauer, "Radon's construction and matrix relations generating syzygies" , Monatsh. Math. , vol. 192 , pp. 311--332 , 2020.
DOI: 10.1007/s00605-020-01383-x

L. Drost, F. Grams, A. Hofstetter, M. März, M. Rehbein, T. Sauer and A. Schilz, "Semantischer und physischer Raum. ViSIT - eine Fallstudie zur Brautkrone der Herzogin Hedwig von Niederbayern" in Digitale Raumdarstellung: Barocke Deckenmalerei und Virtual Reality , Hoppe, S. and Locher, H. and Burioni, M., Eds. arthistoricum.net , 2020 .
DOI: 10.11588/arthistoricum.774

M. Cotronei, M. Rossini, T. Sauer and E. Volontè, "Filters for anisotropic wavelet decompositions" , J. Comput. Appl. Math. , vol. 349 , pp. 316--330 , 2019.
DOI: 10.1016/j.cam.2018.09.015

J. Merrien and T. Sauer, "Generalized Taylor operators and polynomial chains for Hermite subdivision schemes" , Numer. Math. , vol. 142 , pp. 167--203 , 2019.
DOI: 10.1007/s00211-018-0996-9

F. Bossmann, T. Sauer and N. Sissouno, "Modeling variational inpainting methods with splines" , Front. Appl. Math. Stat. , 2019.
DOI: 10.3389/fams.2019.00027

J. Peña and T. Sauer, "Update methods for the thin SVD and applications" , Lin. Alg. Appl. , vol. 561 , pp. 41--62 , 2019.
DOI: 10.1016/j.laa.2018.09.014

T. Sauer, "Companion matrices and joint eigenvectors of commuting families of matrices for polynomial zero finding" , Monografías Matemáticas García de Galdeano , no. 41 , pp. 171---185 , 2018.

J. Carnicer and T. Sauer, "Observations on interpolation by total degree polynomials in two variables" , Constr. Approx. , vol. 47 , pp. 373--389 , 2018.
DOI: 10.1007/s00365-017-9380-8

T. Sauer, "Prony's method: an old trick for new problems" , Snapshots of modern mathematics from Oberwolfach , 2018.
DOI: 10.14760/SNAP-2018-004-EN

C. Conti, M. Cotronei and T. Sauer, "Convergence of level dependent Hermite subdivision schemes" , Appl. Numer. Math. , vol. 116 , pp. 119--128 , 2017.
DOI: 10.1016/j.apnum.2017.02.011

J. Merrien and T. Sauer, "Extended Hermite subdivision schemes" , J. Comput. Appl. Math. , vol. 317 , pp. 343--361 , 2017.
DOI: 10.1016/j.cam.2016.12.002

T. Sauer, "Prony's method in several variables" , Numer. Math. , vol. 136 , pp. 411--438 , 2017.
DOI: 10.1007/s00211-016-0844-8

T. Sauer, "Prony's method in several variables: Symbolic solutions by universal interpolation" , J. Symbolic Comput. , vol. 84 , pp. 95--112 , 2017.
DOI: 10.1016/j.jsc.2017.03.006

T. Sauer, "Reconstructing sparse exponential polynomials from samples: Difference operators, Stirling numbers and Hermite interpolation" in Mathematical Methods for Curves and Surfaces: 9th International Conference, MMCS 2016, Tønsberg, Norway, June 23–28, 2016, Revised Selected Papers , Floater, M. and Lyche, T. and Mazure, M.-L. and Moerken, K. and Schumaker, L.-L, Eds. Springer , 2017. pp. 233--251.

T. Sauer, "Spieltheorie" , Berlin : Logos-Verlag , 2017 , pp. 131.

C. Conti, M. Cotronei and T. Sauer, "Hermite subdivision schemes, exponential polynomial generation, and annihilators" , Advances Comput. Math. , vol. 42 , pp. 1055--1079 , 2016.
DOI: 10.1007/s10444-016-9453-4

T. Sauer, "Kernels of discrete convolutions and subdivision operators" , Acta Appl. Math. , vol. 145 , pp. 115--131 , 2016.
DOI: 10.1007/s10440-016-0051-8

M. Cotronei, D. Ghisi, M. Rossini and T. Sauer, "An anisotropic directional subdivision and multiresolution" , Advances Comput. Math. , vol. 41 , pp. 709--726 , 2015.

M. Bozzini, D. Ghisi, M. Rossini and T. Sauer, "Directional transforms and pseudo-commuting properties" , Monografiás Matematicás Garcia de Galdeano , vol. 40 , pp. 29--41 , 2015.

T. Sauer, "Linear Algebra methods for nonlinear algebraic problems and applications" in Proceedings of the XXIV Congress on Differential Equations and Applications, XIV Congress on Applied Mathematics , J. M. Díaz Moreno, J. C. Díaz Moreno, C. García Vázquez, J. Medina Moreno, F. Ortegón Gallego, C. Pérez Martínez, M. V. Redondo Neble and J. R. Rodríguez Galván, Eds. 2015. pp. 31--43.

C. Hamm, T. Sauer and F. Zimmermann, "Hermite Interpolation with Rational Splines with Free Weights" in Mathematical Methods for Curves and Surfaces , Floater, Michael and Lyche, Tom and Mazure, Marie-Laurence and Morken, Knut, Eds. Berlin/Heidelberg : Springer Berlin Heidelberg , 2014 , pp. 230--237.
DOI: 10.1007/978-3-642-54382-1_13

J. Carnicer and T. Sauer, "Leibniz rules for multivariate divided differences" , J. Approx. Theory , vol. 181 , pp. 43--53 , 2014.
DOI: 10.1016/j.jat.2014.02.002

T. Sauer, "The continuous wavelet transform: Fast implementation and pianos." , Monografiás Matematicás Garcia de Galdeano , no. 39 , pp. 187--194 , 2014.

L. Alkafafi, C. Hamm and T. Sauer, "Vibrational Error Extraction Method Based on Wavelet Technique" in Mathematical Methods for Curves and Surfaces , Floater, Michael and Lyche, Tom and Mazure, Marie-Laurence and Morken, Knut, Eds. Berlin/Heidelberg : Springer Berlin Heidelberg , 2014 , pp. 1--12.
DOI: 10.1007/978-3-642-54382-1_1

J. Merrien and T. Sauer, "From Hermite to stationary subdivision schemes in one and several variables" , Advances Comput. Math , vol. 36 , pp. 547--579 , 2012.

J. Carnicer, M. Gasca and T. Sauer, "Aitken-Neville sets, principal lattices and divided differences" , J. Approx. Theor. , vol. 156 , pp. 154--172 , 2009.