Search for dissertations about: "Euclidean"
Showing result 1 - 5 of 91 swedish dissertations containing the word Euclidean.
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1. Stäckel multipliers in Euclidean space
Abstract : In order to apply the method of separation of variables to the natural Hamilton-Jacobi equation in Euclidean space, one has to find new curvilinear coordinates in which the transformed equation admits a complete separated solution . For a potential V(q) given in Cartesian coordinates, the main difficulty is to decide if such a transformation x(q) exists and to effectively determine it explicitly. READ MORE
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2. Continuum Percolation in non-Euclidean Spaces
Abstract : In this thesis we first consider the Poisson Boolean model of continuum percolation in $n$-dimensional hyperbolic space ${\mathbb H}^n$. Let $R$ be the radius of the balls in the model, and $\lambda$ the intensity of the underlying Poisson process. READ MORE
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3. Geometry and Critical Configurations of Multiple Views
Abstract : This thesis is concerned with one of the core problems in computer vision, namely to reconstruct a real world scene from several images of it. The interplay between the geometry of the scene, the cameras and the images is analyzed. READ MORE
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4. On Axioms and Images in the History of Mathematics
Abstract : This dissertation deals with aspects of axiomatization, intuition and visualization in the history of mathematics. Particular focus is put on the end of the 19th century, before David Hilbert's (1862–1943) work on the axiomatization of Euclidean geometry. The thesis consists of three papers. READ MORE
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5. Non-Euclidean structures in PCA-based descriptions of multispectral databases
Abstract : Traditional color science is based on human color vision. For many applications (for example remote sensing, medical imaging, industrial inspection) where spectral properties of the radiation are of interest, human color vision based systems are too restrictive. Therefore multispectral approaches are becoming more and more popular. READ MORE