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Armin Iske - Publications


Latest

Mijail Guillemard, Dennis Heinen, Armin Iske, Sara Krause-Solberg, Gerlind Plonka (2014)
Adaptive Approximation Algorithms for Sparse Data Representation. To appear.

Laurent Demaret and Armin Iske (2013)
Optimal N-term Approximation by Linear Splines over Anisotropic Delaunay Triangulations.
To appear in Mathematics of Computation.

Claus R. Goetz and Armin Iske (2013)
Approximate Solutions of Generalized Riemann Problems for Nonlinear Systems of Hyperbolic Conservation Laws.
Preprint, 4th September 2013.

Stefano De Marchi, Armin Iske, and Amos Sironi (2012)
Algebraic Medical Image Reconstruction from Scattered Radon Data by Positive Definite Kernels.
Preprint, 1st June 2012.


Books

                                           

E.H. Georgoulis, A. Iske, and J. Levesley (eds.):
Approximation Algorithms for Complex Systems.
Springer Proceedings in Mathematics, Vol. 3, Springer-Verlag, Berlin, 2011.

A. Iske and J. Levesley (eds.):
Algorithms for Approximation, Springer-Verlag, Berlin, 2007.

A. Iske and T. Randen (eds.),
Mathematical Methods and Modelling in Hydrocarbon Exploration and Production,
Mathematics in Industry, Vol. 7, Springer-Verlag, Heidelberg, 2005.

A. Iske: Multiresolution Methods in Scattered Data Modelling,
Lecture Notes in Computational Science and Engineering, Vol. 37,
ISBN 3-540-20479-2, Springer-Verlag, Heidelberg, 2004.

A. Iske, E. Quak, and M.S. Floater (eds.),
Tutorials on Multiresolution in Geometric Modelling,
Mathematics+Visualization, Springer-Verlag, Heidelberg, 2002.


Book Chapters

L. Demaret, A. Iske, and W. Khachabi:
Sparse Representation of Video Data by Adaptive Tetrahedralizations.
In: Mathematical Methods for Signal and Image Analysis and Representation,
L. Florack, R. Duits, G. Jongbloed, M.-C. van Lieshout, and L. Davies (eds.),
Springer, Dordrecht, ISBN 978-1-4471-2352-1, 2012, 101-121.

L. Demaret and A. Iske:
Anisotropic Triangulation Methods in Adaptive Image Approximation.
In: Approximation Algorithms for Complex Systems,
E.H. Georgoulis, A. Iske, and J. Levesley (eds.), Springer-Verlag, Berlin, 2011, 47-68.

A. Iske:
On the Construction of Mass Conservative and Meshless Adaptive Particle Advection Methods.
In: Advances in Meshfree Techniques, V.M.A. Leitao, C.J.S. Alves, and C.A. Duarte (eds.),
Springer, Dordrecht, 2007, 169-186.

A. Iske:
Polyharmonic Spline Reconstruction in Adaptive Particle Flow Simulation.
In: Algorithms for Approximation, A. Iske and J. Levesley (eds.),
Springer-Verlag, Berlin, 2007, 83-102.

M. Käser and A. Iske:
Reservoir Flow Simulation by Adaptive ADER Schemes.
In: Mathematical Methods and Modelling in Hydrocarbon Exploration and Production,
A. Iske and T. Randen (eds.), Springer-Verlag, Heidelberg, 2005, 339-388.

A. Iske: Adaptive Irregular Sampling in Meshfree Flow Simulation.
In: Sampling, Wavelets, and Tomography, J. Benedetto and A. Zayed (eds.),
Applied and Numerical Harmonic Analysis, Birkhäuser, Boston, 2004, 289-309.

A. Iske: Scattered Data Modelling using Radial Basis Functions.
In: Tutorials on Multiresolution in Geometric Modelling,
A. Iske, E. Quak, and M.S. Floater (eds.), Springer-Verlag, Heidelberg, 2002, 205-242.


Publications and Preprints

G. Plonka, A. Iske, and S. Tenorth:
Optimal Representation of Piecewise Hölder Smooth Bivariate Functions by the Easy Path Wavelet Transform.
Journal of Approximation Theory 176, 2013, 42-67.

A. Iske:
On the Construction of Kernel-Based Adaptive Particle Methods in Numerical Flow Simulation.
In: Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation,
Rainer Ansorge, Hester Bijl, Andreas Meister, and Thomas Sonar (eds.),
Notes on Numerical Fluid Mechanics and Multidisciplinary Design (NNFM), Springer-Verlag, Berlin, 2013, 197-221.

C.R. Goetz and A. Iske:
Approximate Solutions of Generalized Riemann Problems: the Toro-Titarev Solver and the LeFloch-Raviart Expansion.
In: Numerical Methods for Hyperbolic Equations, E. Vázquez-Cendón, A. Hidalgo, P. García-Navarro and L. Cea (eds.), Taylor & Francis, 2013, 267-275.

T. Nielsen, S. Hitziger, M. Grass, and A. Iske:
Filter Calculation for X-ray Tomosynthesis Reconstruction.
Physics in Medicine and Biology 57, 2012, 3915-3930.

A. Iske:
Scattered Data Approximation by Positive Definite Kernel Functions.
Rendiconti del Seminario Matematico 69(3), 2011, 217-246.

G. Plonka, S. Tenorth, and A. Iske:
Optimally Sparse Image Representation by the Easy Path Wavelet Transform.
International Journal of Wavelets, Multiresolution and Information Processing (IJWMIP) 10(1), 2012, 1250007 (20 pages). DOI: 10.1142/S0219691311004493.

K. Erhard, M. Grass, S. Hitziger, A. Iske, and T. Nielsen:
Generalized filtered back-projection for digital breast tomosynthesis reconstruction.
Physics of Medical Imaging (SPIE 2012), vol. 8313, March 2012. DOI: 10.1117/12.911163.

M. Guillemard, A. Iske, and S. Krause-Solberg:
Dimensionality reduction methods in independent subspace analysis for signal detection.
Conference Proceedings of Sampling Theory and Applications (SampTA2011).

A. Iske:
On the stability of polyharmonic spline reconstruction.
Conference Proceedings of Sampling Theory and Applications (SampTA2011).

M. Guillemard and A. Iske:
Signal filtering and persistent homology: an illustrative example.
Conference Proceedings of Sampling Theory and Applications (SampTA2011).

L. Bonaventura, A. Iske, and E. Miglio:
Kernel-Based Vector Field Reconstruction in Computational Fluid Dynamic Models.
International Journal for Numerical Methods in Fluids 66(6), 2011, 714-729.

M. Guillemard and A. Iske:
Curvature Analysis of Frequency Modulated Manifolds in Dimensionality Reduction.
Calcolo 48(1), 2011, 107-125.

T. Aboiyar, E.H. Georgoulis, and A. Iske:
Adaptive ADER Methods Using Kernel-Based Polyharmonic Spline WENO Reconstruction.
SIAM Journal on Scientific Computing 32(6), 2010, 3251-3277.

M. Guillemard and A. Iske:
Analysis of High-Dimensional Signal Data by Manifold Learning and Convolutions.
In: Sampling Theory and Applications (SampTA'09),
Laurent Fesquet and Bruno Torrésani (eds.), Marseille (France), May 2009, 287-290.

L. Demaret, A. Iske, and W. Khachabi:
Contextual Image Compression from Adaptive Sparse Data Representations.
Workshop Proceedings Signal Processing with Adaptive Sparse Structured Representations,
Saint-Malo (France), April 2009.

N. Dyn, A. Iske, and H. Wendland:
Meshfree Thinning of 3D Point Clouds.
Foundations of Computational Mathematics 8, 2008, 409-425.

D. Busby, C.L. Farmer, and A. Iske:
Hierarchical Nonlinear Approximation for Experimental Design and Statistical Data Fitting.
SIAM Journal on Scientific Computing 29(1), 2007, 49-69.

T. Aboiyar, E.H. Georgoulis, and A. Iske:
High order WENO finite volume schemes using polyharmonic spline reconstruction.
Proceedings of the International Conference on Numerical Analysis and Approximation Theory,
Cluj-Napoca, Romania, July 5-8, 2006, 113-126.

D. Busby, C.L. Farmer, and A. Iske:
Uncertainty Evaluation in Reservoir Forecasting by Bayes Linear Methodology,
in Algorithms for Approximation, A. Iske and J. Levesley (eds.), Springer-Verlag, Berlin, 2007, 187-196.

L. Demaret and A. Iske:
Adaptive Image Approximation by Linear Splines over Locally Optimal Delaunay Triangulations.
IEEE Signal Processing Letters 13(5), 2006, 281-284.

L. Demaret, N. Dyn, and A. Iske:
Image Compression by Linear Splines over Adaptive Triangulations.
Signal Processing 86(7), July 2006, 1604-1616.

A. Iske:
Multiscale Flow Simulation by Adaptive Finite Volume Particle Methods.
Proc. Appl. Math. Mech. (PAMM) 5(1), 2005, 771-772.

A. Iske:
Multiscale Flow Simulation by Meshless Particle Methods.
Meshless 2005, Proceedings of the ECCOMAS Thematic Conference on Meshless Methods.
V.M.A. Leitao, C.J.S. Alves, and C.A. Duarte (eds.), DM-IST, LNEC Lisbon, Portugal, July 2005, A22.1-A22.4.

M. Käser and A. Iske:
ADER Schemes on Adaptive Triangular Meshes for Scalar Conservation Laws.
Journal of Computational Physics 205(2), 2005, 486-508.

A. Iske and J. Levesley:
Multilevel Scattered Data Approximation by Adaptive Domain Decomposition.
Numerical Algorithms 39(1-3), 2005, 187-198.

A. Iske and M. Käser:
Two-Phase Flow Simulation by AMMoC, an Adaptive Meshfree Method of Characteristics.
Computer Modeling in Engineering & Sciences (CMES) 7(2), 2005, 133-148.

L. Demaret, N. Dyn, M.S. Floater, and A. Iske:
Adaptive Thinning for Terrain Modelling and Image Compression,
in Advances in Multiresolution for Geometric Modelling,
N.A. Dodgson, M.S. Floater, and M.A. Sabin (eds.),
Springer-Verlag, Heidelberg, 2005, 321-340.

L. Demaret and A. Iske:
Advances in Digital Image Compression by Adaptive Thinning,
Annals of the MCFA 3, 2004, 105-109.

A. Iske:
Radial Basis Functions: Basics, Advanced Topics, and Meshfree Methods for Transport Equations.
Rendiconti del Seminario Matematico 61(3), 2003, 247-286.

A. Iske:
On the Approximation Order and Numerical Stability of Local Lagrange Interpolation by Polyharmonic Splines,
in Modern Developments in Multivariate Approximation, W. Haussmann, K. Jetter, M. Reimer, and J. Stöckler (eds.),
International Series of Numerical Mathematics 145, 2003, Birkhäuser Verlag, Basel, 153-165.

L. Demaret and A. Iske:
Scattered Data Coding in Digital Image Compression,
in Curve and Surface Fitting: Saint-Malo 2002,
A. Cohen, J.-L. Merrien, and L. L. Schumaker (eds.), Nashboro Press, Brentwood, 2003, 107-117.

A. Iske and M. Käser:
Conservative Semi-Lagrangian Advection on Adaptive Unstructured Meshes.
Numerical Methods for Partial Differential Equations 20(3), 2004, 388-411.

A. Iske: Progressive Scattered Data Filtering.
Journal of Computational and Applied Mathematics 158(2), 2003, 297-316.

J. Behrens, A. Iske, and M. Käser:
Adaptive Meshfree Method of Backward Characteristics for Nonlinear Transport Equations,
in Meshfree Methods for Partial Differential Equations,
M. Griebel and M. A. Schweitzer (eds.), Springer-Verlag, Heidelberg, 2002, 21-36.

N. Dyn, M.S. Floater, and A. Iske: Adaptive Thinning for Bivariate Scattered Data.
Journal of Computational and Applied Mathematics 145(2), 2002, 505-517.

J. Behrens, A. Iske, and St. Pöhn: Effective node adaption for grid-free semi-Lagrangian advection,
in Discrete Modelling and Discrete Algorithms in Continuum Mechanics,
Th. Sonar and I. Thomas (eds.), Logos Verlag, Berlin, 2001, 110-119.

N. Dyn, M.S. Floater, and A. Iske: Univariate Adaptive Thinning,
in Mathematical Methods for Curves and Surfaces: Oslo 2000,
T. Lyche and L. L. Schumaker (eds.), Vanderbilt University Press, Nashville, 2001, 123-134.

J. Behrens and A. Iske: Grid-free Adaptive Semi-Lagrangian advection using radial basis functions,
in Computers and Mathematics with Applications 43(3-5), 2002, 319-327.

A. Iske: Hierarchical Scattered Data Filtering for Multilevel Interpolation Schemes,
in Mathematical Methods for Curves and Surfaces: Oslo 2000,
T. Lyche and L. L. Schumaker (eds.), Vanderbilt University Press, Nashville, 2001, 211-221.

A. Iske: Reconstruction of Smooth Signals from Irregular Samples by using Radial Basis Function Approximation,
in Proceedings of the 1999 International Workshop on Sampling Theory and Applications,
The Norwegian University of Science and Technology, Trondheim, 1999, 82-87.

M.S. Floater and A. Iske: Thinning algorithms for scattered data interpolation,
BIT 38(4), 1998, 705-720.

T. Gutzmer and A. Iske: Detection of Discontinuities in Scattered Data Approximation,
Numerical Algorithms 16(2), 1997, 155-170.

M.S. Floater and A. Iske: Thinning, Inserting, and Swapping Scattered Data,
in Surface Fitting and Multiresolution Methods, A. Le Mehaute, C. Rabut, and L. L. Schumaker (eds.),
Vanderbilt University Press, Nashville, 1996, 139-144.

M.S. Floater and A. Iske: Thinning and Approximation of Large Sets of Scattered Data,
in Advanced Topics in Multivariate Approximation, F. Fontanella, K. Jetter and P.-J. Laurent (eds.),
World Scientific, Singapore, 1996, 87-96.

M.S. Floater and A. Iske: Multistep Scattered Data Interpolation using Compactly Supported Radial Basis Functions,
Journal of Computational and Applied Mathematics 73(5), 1996, 65-78.

A. Iske and Th. Sonar:
On the Structure of Function Spaces in Optimal Recovery of Point Functionals for ENO-Schemes by Radial Basis Functions,
Numerische Mathematik 74(2), 1996, 177-202.

A. Iske: Reconstruction of Functions from Generalized Hermite-Birkhoff Data,
in Approximation Theory VIII, Vol. 1: Approximation and Interpolation,
C. K. Chui and L. L. Schumaker (eds.), World Scientific, Singapore, 1995, 257-264.

A. Iske: Characterization of Function Spaces associated with Conditionally Positive Definite Functions,
in Mathematical Methods for Curves and Surfaces, M. Dæhlen, T. Lyche, and L. L. Schumaker (eds.),
Vanderbilt University Press, Nashville, 1995, 265-270.


Other Articles

A. Iske and T. Randen:
Industrial Hydrocarbon Exploration and Production Challenges Computational Mathematics in A Multidisciplinary European Network.
Zürich Intelligencer (ICIAM 07 - International Congress on Industrial and Applied Mathematics), Springer, 2007, 32-34.


Habilitation Thesis

A. Iske: Multiresolution Methods in Scattered Data Modelling,
Habilitationsschrift, Technische Universität München, April 2002.


Dissertation

A. Iske:
Charakterisierung bedingt positiv definiter Funktionen für multivariate Interpolationsmethoden mit radialen Basisfunktionen,
Dissertation, Universität Göttingen,1994.


Lecture Notes

J. Behrens and A. Iske: MATLAB - Eine freundliche Einführung (in German), February 1999, 46 pages.


Technical Reports

Mijail Guillemard and Armin Iske (2011)
On Groupoid C*-Algebras, Persistent Homology and Time-Frequency Analysis.
Hamburger Beiträge zur Angewandten Mathematik, Nr. 2011-17, September 2011.

Mijail Guillemard, Armin Iske, and Udo Zölzer (2010)
Clifford Algebras and Dimensionality Reduction for Signal Separation and Classification.
Hamburger Beiträge zur Angewandten Mathematik, Nr. 2010-04, April 2010.

A. Iske (2000) Thinning algorithms in scattered data modelling.
Technische Universität München, Report TUM-M0003, March 2000.

A. Iske (2000) Optimal distribution of centers for radial basis function methods.
Technische Universität München, Report TUM-M0004, June 2000.

A. Iske (1994) Characterization of Conditionally Positive Definite Functions.
Institut für Numerische und Angewandte Mathematik, Universität Göttingen, 1994.

A. Iske (1993) Smooth Surface Interpolation with Rectangular Bézier Patches.
Institut für Numerische und Angewandte Mathematik, Universität Göttingen, 1993.


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