Search for dissertations about: "Digital geometry"
Showing result 1 - 5 of 158 swedish dissertations containing the words Digital geometry.
-
1. 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
-
2. Geometry linking the art of building and the Universe: Geometric patterns on shells and grid shells
Abstract : Geometry links the art of building and the physics of space-time. Mathematical breakthroughs in geometry have led to new ways of designing our structures and our ability to visualise and describe the world, phenomena in nature and the universe. READ MORE
-
3. Differential geometry and structural action of vaults and shells
Abstract : Masonry vaults and bridges, concrete shells, and steel and timber grid shells are all examples of shell structures. Their beauty, spatial qualities, structural efficiency and manufacturing are closely tied to their geometry. READ MORE
-
4. 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
-
5. Aspects of vacuum moduli in string theory
Abstract : In this thesis we explore geometric aspects of the space of vacua in supersymmetric string compactifications. More specifically, we will look at heterotic strings compactified on Calabi-Yau manifolds and, separately, G2 structure manifolds. READ MORE