Search for dissertations about: "digital matematik"
Showing result 1 - 5 of 116 swedish dissertations containing the words digital matematik.
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1. Digital Geometry, Combinatorics, and Discrete Optimization
Abstract : This thesis consists of two parts: digital geometry and discrete optimization. In the first part we study the structure of digital straight line segments. We also study digital curves from a combinatorial point of view. READ MORE
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2. Digital lines, Sturmian words, and continued fractions
Abstract : In this thesis we present and solve selected problems arising from digital geometry and combinatorics on words. We consider digital straight lines and, equivalently, upper mechanical words with positive irrational slopes a... READ MORE
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3. Digital Geometry and Khalimsky Spaces
Abstract : Digital geometry is the geometry of digital images. Compared to Euclid’s geometry, which has been studied for more than two thousand years, this field is very young.Efim Khalimsky’s topology on the integers, invented in the 1970s, is a digital counterpart of the Euclidean topology on the real line. READ MORE
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4. Invariants for Multidimensional Persistence
Abstract : The amount of data that our digital society collects is unprecedented. This represents a valuable opportunity to improve our quality of life by gaining insights about complex problems related to neuroscience, medicine and biology among others. READ MORE
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5. Split Trees, Cuttings and Explosions
Abstract : This thesis is based on four papers investigating properties of split trees and also introducing new methods for studying such trees. Split trees comprise a large class of random trees of logarithmic height and include e.g., binary search trees, m-ary search trees, quadtrees, median of (2k+1)-trees, simplex trees, tries and digital search trees. READ MORE