Lehrstuhl für Mathematik mit Schwerpunkt Digitale Bildverarbeitung
Veröffentlichungen
2020
32.
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
31.
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
30.
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
29.
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 .
28.
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
27.
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
2019
26.
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
25.
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
24.
F. Bossmann, T. Sauer and N. Sissouno, "Modeling variational inpainting methods with splines" , Front. Appl. Math. Stat. , 2019. DOI: 10.3389/fams.2019.00027
23.
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
2018
22.
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.
21.
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
20.
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
2017
19.
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
18.
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
17.
"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. DOI: 10.1007/978-3-319-67885-6
16.
T. Sauer, "Prony's method in several variables" , Numer. Math. , vol. 136 , pp. 411--438 , 2017. DOI: 10.1007/s00211-016-0844-8
15.
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
14.
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.
13.
T. Sauer, "Spieltheorie" , Berlin : Logos-Verlag , 2017 , pp. 131.
2016
12.
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
11.
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
2015
10.
M. Cotronei, D. Ghisi, M. Rossini and T. Sauer, "An anisotropic directional subdivision and multiresolution" , Advances Comput. Math. , vol. 41 , pp. 709--726 , 2015.
9.
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.
8.
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.
7.
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., Proceedings of the XXIV Congress on Differential Equations and Applications, XIV Congress on Applied Mathematics .
2014
6.
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
5.
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
4.
T. Sauer, "The continuous wavelet transform: Fast implementation and pianos." , Monografiás Matematicás Garcia de Galdeano , no. 39 , pp. 187--194 , 2014.
3.
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
2012
2.
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.
2009
1.
J. Carnicer, M. Gasca and T. Sauer, "Aitken-Neville sets, principal lattices and divided differences" , J. Approx. Theor. , vol. 156 , pp. 154--172 , 2009.