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New Developments in the Visualization and Processing of Tensor Fields
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Visualization and Processing of Tensor Fields - Google книги
The series Structure and Bonding publishes critical reviews on topics of research concerned with chemical The series Structure and Bonding publishes critical reviews on topics of research concerned with chemical structure and bonding. The scope of the series spans the entire Periodic Table and addresses structure and bonding issues associated with all of the elements.
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- Visualization and Processing of Tensor Fields (Mathematics and Visualization) - PDF Free Download!
Developments and Applications of Geomorphology. The resulting 3 eigenvalues represent the semi-axis of an ellipsoid, that may be visualised as a spheroid in space. Its colour may refer to the maximal shear stress, upon which failure of a structure is usually assessed. Unlike classical variational methods which operate semi- locally, our approach exploits structural information contained in non-local neighbourhoods to produce more reliable and accurate estimations. Such tissue microstructural properties are important diagnostic markers and thus it is desirable to establish medical imaging techniques based on tissue mechanics.
Traditionally, the elasticity of living tissue is assessed by palpation in order to 'feel' suspicious elasticity changes associated with disease. MRE uniquely allows measuring the viscoelasticity of brain tissue in its intact physiological environment. MRE has also been applied on skeletal muscle for measuring elasticity as a synonym of muscle function in various muscle-related diseases.
Moreover, new experiments demon- strate the feasibility of MRE to detect myocardial elasticity changes between diastole and systole, which are related to intraventricular pressure changes. Joint work with Stephan Didas.
Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data
Another approach that has been increasingly studied in recent years consists in characterizing structures as ridge manifolds of tensor invariants. This approach can be used to recover the full topological structure and is fundamen- tally more robust than the standard topology in noisy data sets. Early results will be presented for synthetic, medical, and engineering datasets.
We have a framework where several classical DTI visualization have been implemented. One remedy is to estimate more than one tensor in each data point. Being able to process the data without the need to separate the events is thus desirable. In this work we present a way of representing pairs of tensors.
Advances and Perspectives
The method uses a symmetrized tensor outer product as a representation, and an eigenvector solution for recovering the events. The implementation of the framework is GPU-based to achieve real-time interaction. Also, we address the problem of selecting the most appropriate tensor dis- tance for DTI segmentation, proposing a comparison of the segmentation on a DTI atlas as a feasible approach to it. Related Papers. By David H. By Cornelia Auer.
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By Rachid Deriche. By Ken Museth. Download pdf. Remember me on this computer. They show how cooperation and the sharing of ideas and data between those engaged in pure and applied research can open new vistas in the study of tensor fields.
Read more Read less. K; ed. From the Back Cover Bringing together key researchers in disciplines ranging from visualization and image processing to applications in structural mechanics, fluid dynamics, elastography, and numerical mathematics, the workshop that generated this edited volume was the third in the successful Dagstuhl series. No customer reviews. Share your thoughts with other customers.
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