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Visar resultat 1 - 5 av 162 avhandlingar som matchar ovanstående sökkriterier.
1. Digital Geometry and Khalimsky Spaces
Sammanfattning : 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. LÄS MER
2. Geometry linking the art of building and the Universe: Geometric patterns on shells and grid shells
Sammanfattning : 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. LÄS MER
3. Géométrie digitale utilisée pour la discretisation et le recouvrement optimal des objets euclidiens
Sammanfattning : A Euclidean line in the plane is discretized and the discretized line is dilated by a rectangle. The thesis studies the dilations that cover the original line and determine the optimal ones. Similarly, dilations of discretized Euclidean hyperplanes are studied, and the optimal coverings are described.. LÄS MER
4. Differential geometry and structural action of vaults and shells
Sammanfattning : 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. LÄS MER
5. Digital Geometry, Combinatorics, and Discrete Optimization
Sammanfattning : 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. LÄS MER
