Grohs Philipp

Assistant Professor

Philipp Grohs

I have two employments: one at the Vienna University of Technology, and one at Graz University of Technology.

Address 1 (Vienna)

Philipp Grohs, Dr.
Geometric Modeling and Industrial Geometry
Vienna University of Technology
Wiedner Hauptstrasse 8-10/104
A-1040 Wien, Austria

Phone: +43 1 58801 11318
Fax: +43 1 58801 10493
Email:geometrie(at)grohs.tuwien.ac.at (swap geometrie and grohs)

Consulting hours

Wednesday 10:00 - 11:00

Address 2 (Graz)

Philipp Grohs, Dr.
Institute of Geometry
Graz University of Technology
Kopernikusgasse 24/IV
A-8010 Graz, Austria

Phone: +43 316 873 8444
Email:tugraz(at)pgrohs.at (swap tugraz and pgrohs)

Consulting hours

Tuesday 10:00 - 11:00

Education

Research Interests

Publications

  1. J. Wallner, E. Nava Yazdani, and P. Grohs. Smoothness properties of Lie group subdivision schemes. Multiscale Modeling and Simulation 6 (2007), 493-505. [MR] [doi].
  2. P. Grohs and J. Wallner. Log-exponential analogues of univariate subdivision schemes in Lie groups and their smoothness properties. In M. Neamtu and L. L. Schumaker, editors, Approximation Theory XII: San Antonio 2007, pages 181-190. Nashboro Press, 2008, ISBN 978-0-9728482-9-9. [MR]
  3. P. Grohs. Smoothness analysis of subdivision schemes on regular grids by proximity. SIAM Journal on Numerical Analysis 46 (2008), 2169-2182. [MR] [doi].
  4. P. Grohs. Smoothness equivalence properties of univariate subdivision schemes and their projection analogues. Numerische Mathematik 113/2 (2009), 163-180. [MR] [doi].
  5. P. Grohs. Smoothness of interpolatory multivariate subdivision in Lie groups. IMA Journal of Numerical Analysis 29/3 (2009), 760-772. [MR] [doi].
  6. P. Grohs and J. Wallner. Interpolatory wavelets for manifold-valued data. Applied and Computational Harmonic Analysis 27 (2009), 325-333. [MR] [doi].
  7. H. Pottmann, P. Grohs, and N. J. Mitra. Laguerre minimal surfaces, isotropic geometry and linear elasticity. Advances in Computational Mathematics 31/2 (2009), 391-419. [doi].
  8. N. Dyn, P. Grohs, and J. Wallner. Approximation order of interpolatory nonlinear subdivision schemes. Journal of Computational and Applied Mathematics 223 (2010), 1697-1703. [doi].
  9. H. Pottmann, P. Grohs and B. Blaschitz. Edge offset meshes in Laguerre geometry. Advances in Computational Mathematics (2009), to appear. [doi].
  10. P. Grohs. Stability of manifold-valued subdivision schemes and multiscale transformations. Constructive Approximation (2009), to appear.
  11. P. Grohs. Approximation order from stability of nonlinear subdivision schemes. Journal of Approximation Theory (2009), to appear. [doi].
  12. P. Grohs. A general proximity analysis of nonlinear subdivision schemes. SIAM Journal on Mathematical Analysis (2010), to appear.
  13. P. Grohs. On the maxima of cardinal refinable functions with positive symbol Geometry preprint 2009/03, TU Graz, August 2009.
  14. P. Grohs. Continuous Shearlet frames and resolution of the Wavefront Set Geometry preprint 2009/05, TU Graz, September 2009. [arXiv]
  15. P. Grohs and J. Wallner. Definability and stability of multiscale decompositions for manifold-valued data Geometry preprint 2009/06, TU Graz, November 2009. [arXiv]
  16. P. Grohs. Continuous shearlet tight frames Geometry preprint 2009/07, TU Graz, December 2009. [arXiv]
  17. P. Grohs. Refinable functions for dilation families Geometry preprint 2010/01, TU Graz, January 2010. [arXiv]

In Preparation

  • P. Grohs. The extension principle for dilation families.
  • P. Grohs. On Hart Smith's transform.

    Theses

  • Grohs, P., Smoothness Analysis of nonlinear Subdivison Schemes on regular grids, Phd Thesis, TU-Wien, 2007.
  • Grohs, P., Asymptotik von Goppa Codes, Diplomarbeit, TU-Wien, 2006.
  • Grohs, P., Beweis der Bieberbachschen Vermutung, Projektpraktikum, TU-Wien, 2005.

    Selected Conferences, Talks

  • 06/24/2010-06/30/2010 "New Shearlet constructions", 7th International Conference on Curves and Surfaces, Avignon (France)
  • 03/07/2010-03/10/2010 TBA, 13th International Conference on Approximation Theory, San Antonio (TX)
  • 03/01/2010-03/03/2010 TBA, Seminar for Applied Mathematics, ETH Zuerich, Zuerich (Switzerland)
  • 10/26/2009-10/30/2009 "Current trends in Multiscale theory", Jacobs University Bremen, Bremen (Germany)
  • 10/18/2009-10/23/2009 "Some new results in Shearlet theory", Applied Analysis Group, Universitaet Osnabrueck, Osnabrueck (Germany)
  • 10/12/2009-10/15/2009 "Proximity Methods in the Analysis of Subdivision Processes ", Workshop on Subdivision and Refinability, Pontignano (Italy)
  • 06/15/2009 - 06/20/2009 "Scaling functions for Shearlet MRAs", Strobl09 Conference on Time-Frequency, Strobl (Austria)
  • 02/20/2009 "Nichtlineare Unterteilungsalgorithmen und deren Analyse", Helmholtz Zentrum München, München (Germany)
  • 02/09/2009 "Nichtlineare Unterteilungsalgorithmen und deren Analyse", Justus Liebig Universität, Giessen (Germany)
  • 02/06/2009-02/07/2009 "Nichtlineare Unterteilungsalgorithmen und deren Analyse", Rhein-Ruhr Workshop, Wolfsburg (Germany)
  • 05/01/2008-05/04/2008 "Interpolatory Wavelet Transforms in Manifolds", Workshop on Subdivision and Refinability, Pontignano (Italy)
  • 09/15/2007-09/18/2007 "Laguerre minimal surfaces and isotropic geometry", Polyhedral Surfaces and Industrial Applications, Strobl (Austria)
  • 03/04/2007-03/08/2007 "Smoothness analysis of nonlinear multivariate subdivision schemes", Twelfth International Conference on Approximation Theory, San Antonio (TX)

    Teaching

    2009/10

  • VO AKGEO Differentialformen, SS 10 (TU Wien)
  • UE AKGEO Differentialformen, SS 10 (TU Wien)

    Past teaching

    Links

    (c) P. Grohs, 03-May-2006.