Search for dissertations about: "Khalimsky topology"

Found 2 swedish dissertations containing the words Khalimsky topology.

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. 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