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Dr. Ulrich Clarenz

Address
Numerische Mathematik und Wissenschaftliches Rechnen 
Institut für Mathematik 
Fakultät 4, Naturwissenschaften 
Gerhard-Mercator-Universität Duisburg 
Lotharstr. 65 
D - 47048 Duisburg 
Room
LE 332
Phone
+49 (0)203-379-3589 
Fax
+49 (0)203-379-1323
email

 

[ Research ] [ Projects ] [ Publications ] [ Links ]

 

 
 

 

Research interests:

* Anisotropic Geometric Diffusion in Surface Processing
* Robust Classification of Surfaces

* Willmore Flow and Inpainting
* Inverse problems  
Temperature profiling
Image Matching with Applications in Medical Imaging
* Variational Problems in Geometry

 

 
 

 

DFG-Project:

Anisotrope Krümmungsflüsse in der Flächenmodellierung
(joint application with G. Dziuk (Freiburg) and M. Rumpf)

 

 

 

 

 

 

Publications:

[ Journals ]     [ Proceedings ]    [ Other ]

 

Articles in Journals / Preprints:

Clarenz, U. and Diewald, U. and Dziuk, G. and Rumpf, M. and Rusu, R.
A finite element method for surface restoration with smooth boundary conditions.
To appear in CAGD (18 pages)
Abstract   ClDiDz04.pdf   BibItem

Clarenz, U., Griebel, M., Rumpf, M., Schweitzer, M.A., and Telea, A.
A Feature Sensitive Multiscale Editing Tool on Surfaces.
To appear in Visual Computer (12 pages)
Abstract   ClGrRu04.pdf  BibItem

Clarenz, U., Diewald, U. and Rumpf, M.
Processing Textured Surfaces via Anisotropic Geometric Diffusion.
To appear in IEEE Transactions on Image Processing (14 pages)
Abstract   ClDiRu04.pdf  BibItem

U. Clarenz and H. von der Mosel
On surfaces of prescribed $F$-mean curvature.
Pacific Journal of Mathematics, Vol. 213, No.1, pages 15-36, 2004
Abstract   ClvM04.pdf  
BibItem

Clarenz, U.
The Wulff-shape minimizes an anisotropic Willmore functional
DFG-Forschergruppe Freiburg, Preprint Nr. 15, 2003 (11 pages)
Abstract   Cl03a.pdf  BibItem

U. Clarenz
A Stability Criterion for Extremals of Elliptic Parametric Functionals.
Pacific Journal of Mathematics, Vol. 208, No.2, pages 231-242, 2003
Abstract   Cl03.pdf  
BibItem

U. Clarenz and H. von der Mosel
Isoperimetric Inequalities for Parametric Variational Problems.
Ann. I. H. Poincaré - AN, Vol. 19, No. 5, pages 617-629, 2002
Abstract   ClvM02.pdf  
BibItem

U. Clarenz
Enclosure Theorems for Extremals of Elliptic Parametric Functionals.
Calc. Var., Vol. 15, pages 313-324, 2002
Abstract   Cl02.pdf  
BibItem

U. Clarenz and H. von der Mosel
Compactness Theorems and an Isoperimetric Inequality for 
Critical Points of Elliptic Parametric Functionals
Calc. Var., Vol. 12, Issue 1, pages 85-107, 2000
Abstract   ClvM00.pdf  
BibItem

U. Clarenz
Injectivity and adjoint extremals.
Calc. Var., Vol. 8, Issue 3, pages 279-292, 1999
Abstract
   Cl99.pdf  
BibItem

 

 

Articles in Conference Proceedings:

B. Berkels, U.Clarenz, S. Crewell, U. Löhnert, M. Rumpf, C. Simmer
A physical temperature profiling method using gradient flows.
Microwave Radiometry and Remote Sensing Applications, Feb. 2004, Rome, Italy.
Abstract   BeClCr04.pdf  BibItem  

U. Clarenz, M. Rumpf, and A. Telea
Finite Elements on Point Based Surfaces.
To appear in COMPUTER GRAPHICS INTERNATIONAL 2004.
Abstract   ClRuTe04a.pdf  BibItem  

U. Clarenz, S. Henn, M. Rumpf, and K. Witsch
Relations between optimization and gradient flow methods with applications to image registration.
In W.Hackbusch and M. Griebel, editors, "Multigrid and related methods for 
optimization problems", Proceedings of the GAMM seminar, pages 11-30, 2002

Abstract   ClHeRuWi02.pdf  
BibItem

U. Clarenz, M. Droske, and M. Rumpf
Towards Fast Non-Rigid Registration.
In M.Zuhair Nashed and O. Scherzer, editors, "Inverse Problems, Image Analysis, 
and Medical Imaging", AMS Proceedings, pages 67-85, 2002

Abstract   ClDrRu02.ps.gz  
BibItem

U. Clarenz, U. Diewald, and M. Rumpf.
Nonlinear anisotropic diffusion in surface processing.
In T. Ertl, B. Hamann, and A. Varshney, editors,  Proceedings of
IEEE Visualization 2000, pages 397-405, 2000. 

Abstract   ClDiRu00.pdf  
BibItem

 

 

Other publications:

U. Clarenz, M. Rumpf, and A. Telea
Robust Feature Detection and Local Classification for Surfaces 
based on Moment Analysis
submitted
Abstract   ClRuTe04.pdf   BibItem

U. Clarenz, G. Dziuk, and M. Rumpf
On generalized mean curvature flow in surface processing
In S.Hildebrandt and H.Karcher, editors, "Geometric analysis and nonlinear 
partial differential equations", pages 217-248, Springer, 2003

Abstract
   ClDzRu03.pdf  
BibItem

U.Clarenz
Sätze über Extremalen zu parametrischen Funktionalen
Bonner Math. Schriften 322, 1999

 

 

Links:

bulletGoogle
bulletLeo Online
bulletZentralblatt MATH
bulletMathSciNet
bulletUni Freiburg
bullet Deutsche Bundesbahn
bulletDeutsche Börse AG

 

 

 
Ulrich Clarenz, february 2004
All contents © Institute for Mathematics, Duisburg University, Germany
Comments to clarenz@math.uni-duisburg.de