Publications

A Demonstrator for Threat Detection in Volumetric CT Scans

R. Fischer, E. Hufnagel, T. Lang, J. Claußen, S. Gerth and T. Sauer, "A Demonstrator for Threat Detection in Volumetric CT Scans" , e-Journal of Nondestructive Testing , vol. 28, 2023.

Hermite multiwavelets for manifold-valued data

M. Contronei, C. Moosmüller, T. Sauer and N. Sissouno, "Hermite multiwavelets for manifold-valued data" , Adv. Comput. Math. , vol. 49, no. 40, 2023.

Multiscale Phase-Contrast Tomography at BM18

T. Lang, N. Saeidnezhad, K. Dremel, D. Weller, M. Diez, A. M. Stock, T. Sauer, F. Cianciosi, C. Jarnias, P. Tafforeau and S. Zabler, "Multiscale Phase-Contrast Tomography at BM18" , e-Journal of Nondestructive Testing , vol. 28, 2023.

OntoSeg - Segmentation of Large Volumetric Datasets Using S emantic Knowledge

T. Lang, T. Sauer, T. Wittenberg, S. Gerth and N. Uhlmann, "OntoSeg - Segmentation of Large Volumetric Datasets Using S emantic Knowledge" in 2023 IEEE 17th International Conference on Semantic Computing (ICSC) , 2023. pp. 65-72.

DOI: 10.1109/ICSC56153.2023.00016

Simplex-Splines on the Clough-Tocher Split with Arbitrary Smoothness

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.

Bivariate two-band wavelets demystified

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

Continued Fractions and Signal Processing

T. Sauer, Continued Fractions and Signal Processing. .... Cham: Imprint Springer, 2021.

DOI: 10.1007/978-3-030-84360-1

ISBN: 978-3-030-84359-5

Extra Regularity of Hermite Subdivision Schemes

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

Factorization of Hermite subdivision operators from polynomial over-reproduction

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

Background Subtraction using Adaptive Singular Value Decomposition

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

Edge preserving compression of CT scans using wavelets

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

Identification and monitoring of concealed cracks in road pavement using a machine-learning approach

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

Mathematical Aspects of Computerized Tomography: Compression and Compressed Computing

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.

Multiple filterbanks for image processing: implementation issues

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

Radon's construction and matrix relations generating syzygies

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

Semantischer und physischer Raum. ViSIT - eine Fallstudie zur Brautkrone der Herzogin Hedwig von Niederbayern

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

Filters for anisotropic wavelet decompositions

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

Generalized Taylor operators and polynomial chains for Hermite subdivision schemes

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

Modeling variational inpainting methods with splines

F. Bossmann, T. Sauer and N. Sissouno, "Modeling variational inpainting methods with splines" , Front. Appl. Math. Stat. , 2019.

DOI: 10.3389/fams.2019.00027

Update methods for the thin SVD and applications

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

Companion matrices and joint eigenvectors of commuting families of matrices for polynomial zero finding

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.

Observations on interpolation by total degree polynomials in two variables

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

Prony's method: an old trick for new problems

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

Convergence of level dependent Hermite subdivision schemes

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

Extended Hermite subdivision schemes

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

Prony's method in several variables

T. Sauer, "Prony's method in several variables" , Numer. Math. , vol. 136, pp. 411--438, 2017.

DOI: 10.1007/s00211-016-0844-8

Prony's method in several variables: Symbolic solutions by universal interpolation

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

Reconstructing sparse exponential polynomials from samples: Difference operators, Stirling numbers and Hermite interpolation

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.

Spieltheorie

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

ISBN: 978-3-8325-4472-0

Hermite subdivision schemes, exponential polynomial generation, and annihilators

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

Kernels of discrete convolutions and subdivision operators

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

An anisotropic directional subdivision and multiresolution

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

Directional transforms and pseudo-commuting properties

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.

Linear Algebra methods for nonlinear algebraic problems and applications

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.

Hermite Interpolation with Rational Splines with Free Weights

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

ISBN: 978-3-642-54381-4

Leibniz rules for multivariate divided differences

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

The continuous wavelet transform: Fast implementation and pianos.

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

Vibrational Error Extraction Method Based on Wavelet Technique

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

ISBN: 978-3-642-54381-4

From Hermite to stationary subdivision schemes in one and several variables

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.

Aitken-Neville sets, principal lattices and divided differences

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