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Research Group of Prof. Dr. Martin Rumpf

Research Projects

Current

A Functional Map Approach to Shape Spaces

German-Israeli Foundation.

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Discrete Riemannian calculus on shape space

Project C05, DFG SFB 1060.

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Geodesic Paths in Shape Space

Project 5, FWF NFN S117.

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Numerical optimization of shape microstructures

Project C06, DFG SFB 1060.

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Completed

4D structural analysis of the sugar beet geometry

Project D4, BMBF competence network.

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Our goal is developing techniques for model-based 3D reconstruction and classification of storage root geometry from tomographic data, i.e. data obtained from laser scans and MRI. We aim in comparing different cultivars subject to different soil, management and environmental conditions. Furthermore we investigate the temporal variation of sugar beet growth by applying and generalizing regression methods to the space of beets.

Our tools are robust and non-supervised, that means they improve previous and-measured methods and corresponding empirical scales. Furthermore, recent results suggest that our methods are capable to statistically separate genotypic from environmental features. Hence the proposed techniques are relevant and effective tools to optimize plant breeding.

Anisotropic Curvature Flows in Surface Modeling

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Mathematical modeling and simulation of microstructured magnetic-shape-memory materials

Project A6, DFG priority program 1239.

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Morphological Non-Rigid Registration

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Multi-Scale Shape Optimization under Uncertainty

DFG priority program 1253.

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Segmentation with adaptive Level Set methods

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Variational Methods for Model-based Interactive Analysis of Flows

DFG priority program 1335.

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