Search for dissertations about: "Khalimsky-continuous function."

Found 3 swedish dissertations containing the words Khalimsky-continuous function..

  2. 1. 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

  4. 2. Digital straight line segments and curves

    Author : Shiva Samieinia; Stockholms universitet; []
    Keywords : Digital geometry; digital straight line segments; chord property; Khalimsky-continuous function.;

    Abstract : This thesis consists of two papers:Paper A. Chord properties of digital straight line segments.This paper treats digital straight line segments in two different cases, in the 8-connected plane and in the Khalimsky plane. We investigate them using a new classification, dividing them into a union of horizontal and diagonal segments. READ MORE

  5. 3. 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