Simulation of the RF-ablation of liver tumors
The radio-frequency (RF) ablation of primary and metastatic tumors has become a promising treatment as an alternative to chemotherapy, radiotherapy and surgical resection. Together with appropriate mathematical, physical and biochemical models which describe the process, the success of the treatment can be estimated or even optimized. The goal is to reduce the recurrency rate by a complete destruction of the malignant tissue.
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Anisotropic level-set methods for the processing of image data
A new morphological multiscale method in 3D image processing is presented which combines the image processing methodology based on nonlinear diffusion equations and the theory of geometric evolution problems. Its aim is to smooth level sets of a 3D image while simultaneously preserving geometric features such as edges and corners on the level sets.
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Extracting motion velocities from image data
Recent 3D image machinery delivers sequences of large scale 3D images with a considerably small sampling width in time. In medical as well as in engineering applications one is especially interested in underlying deformation, growth or motion phenomena. A robust method is presented to extract motion velocities from such image sequences.
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PDE based flow visualization
Flow visualization is an important topic in scientific visualization. The central goal is to come up with intuitively perceptible methods that give an overall as well as a detailed view on the underlying flow. The approach presented here is closely related to nonlinear diffusion methods of image analysis. The diffusion incorporates strong smoothing along streamlines and a clustering in orthogonal directions together with an appropriate transport term.
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Large scale image processing
Nonlinear Diffusion Methods have proven to be powerful tools in image processing and image analysis. For example they allow denoising of medical image data while keeping important information like edges of the images. Since the amount of data todays MRI or CT scanners deliver increases more and more, there is need for adaptive methods that can handle the huge amounts of data on moderately sized workstations and that perform numerics in a reasonable time.
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