Algorithm, Mathematical analysis, Discretization, Image processing and Finite element method are his primary areas of study. His Algorithm research is multidisciplinary, incorporating elements of Anisotropic diffusion, Polygon mesh, Smoothness, Topology and Multigrid method. His work carried out in the field of Mathematical analysis brings together such families of science as Continuum mechanics and Willmore energy.
He has researched Discretization in several fields, including Computational geometry and Numerical analysis. His research in Image processing intersects with topics in Image registration and Curvature. His research investigates the connection with Finite element method and areas like Partial differential equation which intersect with concerns in Boundary value problem.
His primary scientific interests are in Discretization, Mathematical analysis, Finite element method, Algorithm and Artificial intelligence. His research integrates issues of Geometry, Curvature, Geodesic, Surface and Numerical analysis in his study of Discretization. He works mostly in the field of Mathematical analysis, limiting it down to topics relating to Shape analysis and, in certain cases, Active shape model.
His Finite element method research is multidisciplinary, relying on both Point, Partial differential equation and Statistical physics. The Algorithm study combines topics in areas such as Feature, Image processing, Grid, Multigrid method and Visualization. As a part of the same scientific study, Martin Rumpf usually deals with the Artificial intelligence, concentrating on Computer vision and frequently concerns with Regularization.
His primary areas of study are Discretization, Mathematical analysis, Shape optimization, Geodesic and Space. Martin Rumpf interconnects Spline, Manifold, Numerical analysis and Applied mathematics in the investigation of issues within Discretization. Martin Rumpf combines subjects such as Constant, Finite element method and Principal geodesic analysis with his study of Mathematical analysis.
His Finite element method study combines topics in areas such as Variational method, Complement and Domain. His study in Shape optimization is interdisciplinary in nature, drawing from both Elasticity, Bone tissue engineering and Mathematical optimization. His Geodesic research also works with subjects such as
His scientific interests lie mostly in Mathematical analysis, Discretization, Space, Shape space and Image. He studies Mathematical analysis, namely Distribution. His Discretization study combines topics from a wide range of disciplines, such as Interpolation, Manifold, Path, Generalization and Numerical analysis.
The study incorporates disciplines such as Logarithmic mean, Variational method and Finite element method in addition to Numerical analysis. The various areas that he examines in his Space study include Extrapolation, Principal geodesic analysis, Metric and Motion lines. His studies deal with areas such as Discrete mathematics, Hadamard transform, Morphing and Image processing as well as Shape space.
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A Variational Approach to Nonrigid Morphological Image Registration
Marc Droske;Martin Rumpf.
Siam Journal on Applied Mathematics (2004)
A finite element method for surface restoration with smooth boundary conditions
U. Clarenz;U. Diewald;G. Dziuk;M. Rumpf.
Computer Aided Geometric Design (2004)
Mathematics and Visualization
Gerald Farin;Hans Christian Hege;Martin Rumpf;Christopher R. Johnson.
medical image computing and computer assisted intervention (2014)
Bernoulli's free-boundary problem, qualitative theory and numerical approximation.
M. Flucher;M. Rumpf.
Crelle's Journal (1997)
A level set formulation for Willmore flow
M. Droske;Martin Rumpf.
Interfaces and Free Boundaries (2004)
Anisotropic geometric diffusion in surface processing
U. Clarenz;U. Diewald;M. Rumpf.
ieee visualization (2000)
Nonnegativity preserving convergent schemes for the thin film equation
Günther Grün;Martin Rumpf.
Numerische Mathematik (2000)
Anisotropic diffusion in vector field visualization on Euclidean domains and surfaces
U. Diewald;T. Preusser;M. Rumpf.
IEEE Transactions on Visualization and Computer Graphics (2000)
Level set segmentation in graphics hardware
M. Rumpf;R. Strzodka.
international conference on image processing (2001)
An Adaptive Level Set Method for Medical Image Segmentation
Marc Droske;Bernhard Meyer;Martin Rumpf;Carlo Schaller.
information processing in medical imaging (2001)
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