Download e-book for iPad: An Introduction to Compactness Results in Symplectic Field by Casim Abbas

By Casim Abbas

ISBN-10: 3642315437

ISBN-13: 9783642315435

This ebook presents an creation to symplectic box idea, a brand new and demanding topic that is at present being constructed. the place to begin of this conception are compactness effects for holomorphic curves tested within the final decade. the writer provides a scientific creation supplying loads of historical past fabric, a lot of that is scattered in the course of the literature. because the content material grew out of lectures given through the writer, the most objective is to supply an access element into symplectic box thought for non-specialists and for graduate scholars. Extensions of definite compactness effects, that are believed to be actual via the experts yet haven't but been released within the literature intimately, refill the scope of this monograph.

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Beurling-Landau-type theorems for non-uniform sampling in shift invariant spline spaces. Journal of Fourier Analysis and Applications 6, 93–103 (2000) 2. : Variational image reconstruction from arbitrarily spaced samples: A fast multiresolution spline solution. Proceedings of IEEE Transactions on Image Processing 14, 450–460 (2005) 3. : The contour spectrum. In: Proceedings of IEEE Visualization, pp. 167–174 (1997) 4. : Computing robustness and persistence for images. In: Proceedings of IEEE Visualization, pp.

Flexible isosurfaces: Simplifying and displaying scalar topology using the contour tree. Computational Geometry 43(1), 42–58 (2010) 7. : k-dimensional size functions for shape description and comparison. In: International Conference on Image Analysis and Processing, pp. 795–800 (2007) 8. : Gromov-hausdorff stable signatures for shapes using persistence. Comput. Graph. Forum 28(5), 1393–1403 (2009) 9. : Stability of persistence diagrams. Discrete and Computational Geometry 37(1), 103–120 (2007) 10.

While this approach works well in the proposed reconstruction pipeline, still the method is based on heuristically derived assumptions and no clear proof is given that this is an optimal characteristic that works with other reconstruction pipelines. Due to the complexity of the data, techniques for providing a simplified view are required in fields such Visualization and Graphics. Topology analysis has been successfully linked to fields related to isosurface selection [3], topological downsampling and simplification ( [12]), topology-guided analysis and navigation in scalar and time varying data ([5]), and feature tracking and evolution ([21]).

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An Introduction to Compactness Results in Symplectic Field Theory by Casim Abbas

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