Tomas Sauer

Orcid: 0000-0002-3182-2141

Affiliations:
  • University of Passau, Germany


According to our database1, Tomas Sauer authored at least 53 papers between 1991 and 2023.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2023
Continued fractions and orthogonal polynomials in several variables.
CoRR, 2023

Hermite multiwavelets for manifold-valued data.
Adv. Comput. Math., 2023

OntoSeg - Segmentation of Large Volumetric Datasets Using Semantic Knowledge.
Proceedings of the 17th IEEE International Conference on Semantic Computing, 2023

2022
Feature-Adaptive Interactive Thresholding of Large 3D Volumes.
CoRR, 2022

Geometric Active Learning for Segmentation of Large 3D Volumes.
CoRR, 2022

Haar Wavelets, Gradients and Approximate TV Regularization.
CoRR, 2022

2021
Factorization of Hermite subdivision operators from polynomial over-reproduction.
J. Approx. Theory, 2021

2020
Multiple filterbanks for image processing: Implementation issues.
Math. Comput. Simul., 2020

Background Subtraction using Adaptive Singular Value Decomposition.
J. Math. Imaging Vis., 2020

Detection and Monitoring of Bottom-Up Cracks in Road Pavement Using a Machine-Learning Approach.
Algorithms, 2020

2019
Generalized Taylor operators and polynomial chains for Hermite subdivision schemes.
Numerische Mathematik, 2019

Filters for anisotropic wavelet decompositions.
J. Comput. Appl. Math., 2019

Modeling Variational Inpainting Methods With Splines.
Frontiers Appl. Math. Stat., 2019

2018
Prony's method in several variables: Symbolic solutions by universal interpolation.
J. Symb. Comput., 2018

Numerically robust computation of circular visibility.
Comput. Aided Geom. Des., 2018

2017
Prony's method in several variables.
Numerische Mathematik, 2017

Extended Hermite subdivision schemes.
J. Comput. Appl. Math., 2017

2016
Spline approximation, Kronecker products and multilinear forms.
Numer. Linear Algebra Appl., 2016

Numerically stable computation of circular visibility.
CoRR, 2016

Factorization of Hermite subdivision operators preserving exponentials and polynomials.
Adv. Comput. Math., 2016

Reconstructing Sparse Exponential Polynomials from Samples: Difference Operators, Stirling Numbers and Hermite Interpolation.
Proceedings of the Mathematical Methods for Curves and Surfaces, 2016

2015
An anisotropic directional subdivision and multiresolution scheme.
Adv. Comput. Math., 2015

2014
Leibniz rules for multivariate divided differences.
J. Approx. Theory, 2014

Spline multiresolution and wavelet-like decompositions.
Comput. Aided Geom. Des., 2014

2012
From Hermite to stationary subdivision schemes in one and several variables.
Adv. Comput. Math., 2012

Hermite Interpolation with Rational Splines with Free Weights.
Proceedings of the Mathematical Methods for Curves and Surfaces, 2012

Vibrational Error Extraction Method Based on Wavelet Technique.
Proceedings of the Mathematical Methods for Curves and Surfaces, 2012

2011
A generalized Taylor factorization for Hermite subdivision schemes.
J. Comput. Appl. Math., 2011

2010
Full rank interpolatory subdivision schemes: Kronecker, filters and multiresolution.
J. Comput. Appl. Math., 2010

Full rank interpolatory subdivision: A first encounter with the multivariate realm.
J. Approx. Theory, 2010

Three term recurrence for the evaluation of multivariate orthogonal polynomials.
J. Approx. Theory, 2010

Multiple Subdivision Schemes.
Proceedings of the Curves and Surfaces, 2010

2009
Adaptive Directional Subdivision Schemes and Shearlet Multiresolution Analysis.
SIAM J. Math. Anal., 2009

Aitken-Neville sets, principal lattices and divided differences.
J. Approx. Theory, 2009

2007
Approximate varieties, approximate ideals and dimension reduction.
Numer. Algorithms, 2007

Efficient polynomial reduction.
Adv. Comput. Math., 2007

2006
Conventional and wavelet coherence applied to sensory-evoked electrical brain activity.
IEEE Trans. Biomed. Eng., 2006

Interpolation lattices in several variables.
Numerische Mathematik, 2006

Differentiability of multivariate refinable functions and factorization.
Adv. Comput. Math., 2006

2005
Regularity of multivariate vector subdivision schemes.
Numer. Algorithms, 2005

2004
Lagrange interpolation on subgrids of tensor product grids.
Math. Comput., 2004

Bernstein polynomials and learning theory.
J. Approx. Theory, 2004

Multivariate Refinable Functions of High Approximation Order Via Quotient Ideals of Laurent Polynomials.
Adv. Comput. Math., 2004

2003
Construction of orthogonal bases for polynomials in Bernstein form on triangular and simplex domains.
Comput. Aided Geom. Des., 2003

2002
How to Achieve Minimax Expected Kullback-Leibler Distance from an Unknown Finite Distribution.
Proceedings of the Algorithmic Learning Theory, 13th International Conference, 2002

2000
On Bivariate Hermite Interpolation with Minimal Degree Polynomials.
SIAM J. Numer. Anal., 2000

On the Multivariate Horner Scheme II: Running Error Analysis.
Computing, 2000

H-bases for polynomial interpolation and system solving.
Adv. Comput. Math., 2000

Polynomial interpolation in several variables.
Adv. Comput. Math., 2000

1997
Regularity of multiwavelets.
Adv. Comput. Math., 1997

1995
Axially parallel subsimplices and convexity.
Comput. Aided Geom. Des., 1995

Computational aspects of multivariate polynomial interpolation.
Adv. Comput. Math., 1995

1991
Multivariate Bernstein polynomials and convexity.
Comput. Aided Geom. Des., 1991


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