Sökning: "digital topology"

Visar resultat 1 - 5 av 50 avhandlingar innehållade orden digital topology.

  1. 1. Digital Geometry and Khalimsky Spaces

    Författare :Erik Melin; Christer Kiselman; Gunilla Borgefors; Mikael Passare; Jean Serra; Uppsala universitet; []
    Nyckelord :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;

    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. 2. Digital Geometry, Combinatorics, and Discrete Optimization

    Författare :Shiva Samieinia; Christer Kiselman; Rikard Bøgvad; Rémy Malgouyres; Stockholms universitet; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; 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; matematik; Mathematics;

    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

  3. 3. Digitally Enhanced Continuous-Time Sigma-Delta Analogue-to-Digital Converters

    Författare :Julian Garcia; Ana Rusu; Maurits Ortmanns; KTH; []
    Nyckelord :ENGINEERING AND TECHNOLOGY; TEKNIK OCH TEKNOLOGIER; analogue-to-digital conversion; sigma-delta modulation; digital enhancement; continuous-time; multi-channel applications;

    Sammanfattning : The continuous downscaling of CMOS technology presents advantagesand difficulties for IC design. While it allows faster, denser and more energy efficient digital circuits, it also imposes several challenges which limit the performance of analogue circuits. LÄS MER

  4. 4. Topological band theory and Majorana fermions : With focus on self-consistent lattice models

    Författare :Kristofer Björnson; Annica M. Black-Schaffer; Jonas Fransson; Olle Eriksson; Andrei Bernevig; Uppsala universitet; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; Topology; Majorana; superconductivity; material physics; numerical calculations; tight-binding; mean-field;

    Sammanfattning : One of the most central concepts in condensed matter physics is the electronic band structure. Although band theory was established more than 80 years ago, recent developments have led to new insights that are formulated in the framework of topological band theory. LÄS MER

  5. 5. Topology Optimization for Wave Propagation Problems

    Författare :Eddie Wadbro; Martin Berggren; Steven J. Cox; Uppsala universitet; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Scientific Computing; Beräkningsvetenskap;

    Sammanfattning : This thesis considers topology optimization methods for wave propagation problems. These methods make no a priori assumptions on topological properties such as the number of bodies involved in the design. The performed studies address problems from two different areas, acoustic wave propagation and microwave tomography. LÄS MER