Search for dissertations about: "Digital geometry"

Showing result 1 - 5 of 158 swedish dissertations containing the words Digital geometry.

  2. 1. Digital Geometry and Khalimsky Spaces

    Author : Erik Melin; Christer Kiselman; Gunilla Borgefors; Mikael Passare; Jean Serra; Uppsala universitet; []
    Keywords : Applied mathematics; Khalimsky topology; digital geometry; digital topology; Alexandrov space; digital surface; digital curve; digital manifold; continuous extension; smallest-neighborhood space; image processing; Tillämpad matematik;

    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

  4. 2. Geometry linking the art of building and the Universe: Geometric patterns on shells and grid shells

    Author : Emil Adiels; Chalmers tekniska högskola; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; HUMANIORA; HUMANITIES; HUMANIORA; HUMANITIES; NATURVETENSKAP; NATURAL SCIENCES; Form finding; Differential Geometry; Conceptual design; Geometry; Shell; Engineering; Masonry; Craftsmanship; Grid shell; Architecture; Structural design;

    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

  5. 3. Differential geometry and structural action of vaults and shells

    Author : Emil Adiels; Chalmers tekniska högskola; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; HUMANIORA; HUMANITIES; NATURVETENSKAP; NATURAL SCIENCES;

    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

  6. 4. Digital Geometry, Combinatorics, and Discrete Optimization

    Author : Shiva Samieinia; Christer Kiselman; Rikard Bøgvad; Rémy Malgouyres; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Digital geometry; Khalimsky topology; Khalimsky plane; Khalimsky-continuous function; digital straight line segments; discrete optimization; discrete convexity; integral convexity; lateral convexity; marginal function; MATHEMATICS; MATEMATIK; Mathematics; matematik;

    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

  7. 5. Aspects of vacuum moduli in string theory

    Author : Matthew Magill; Magdalena Larfors; James Sparks; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; string compactifications; g structures; homological algebra; Theoretical Physics; Teoretisk fysik;

    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