Search for dissertations about: "Digital geometry"

Showing result 1 - 5 of 132 swedish dissertations containing the words Digital geometry.

  1. 1. Digital Geometry and Khalimsky Spaces

    University dissertation from Uppsala : Matematiska institutionen

    Author : Erik Melin; Uppsala universitet.; [2008]
    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

  2. 2. Digital Geometry, Combinatorics, and Discrete Optimization

    University dissertation from Stockholm : Department of Mathematics, Stockholm University

    Author : Shiva Samieinia; Stockholms universitet.; [2010]
    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

  3. 3. Digital lines, Sturmian words, and continued fractions

    University dissertation from Uppsala : Matematiska institutionen

    Author : Hanna Uscka-Wehlou; Uppsala universitet.; [2009]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; digital geometry; digital line; hierarchy of runs; combinatorics on words; Sturmian word; upper mechanical word; characteristic word; irrational slope; continued fraction; Gauss map; fixed point; MATHEMATICS Algebra; geometry and mathematical analysis Discrete mathematics; MATEMATIK Algebra; geometri och analys Diskret matematik; matematik; Mathematics;

    Abstract : In this thesis we present and solve selected problems arising from digital geometry and combinatorics on words. We consider digital straight lines and, equivalently, upper mechanical words with positive irrational slopes a<1 and intercept 0. We formulate a continued fraction (CF) based description of their run-hierarchical structure. READ MORE

  4. 4. Digital straight line segments and curves

    University dissertation from Uppsala : Matematiska institutionen

    Author : Shiva Samieinia; Stockholms universitet.; [2007]
    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. 5. Digital Mammography with a Photon Counting Detector in a Scanned Multislit Geometry

    University dissertation from Stockholm : KTH

    Author : Magnus Åslund; KTH.; [2007]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; mammography; digital; photon counting; scanning; detective quantum effciency; scattered radiation; automatic exposure control; NATURAL SCIENCES Physics; NATURVETENSKAP Fysik;

    Abstract : Mammography screening aims to reduce the number of breast cancer deaths by early detection of the disease, which is one of the leading causes of deaths for middle aged women in the western world. The risk from the x-ray radiation in mammography is relatively low but still a factor in the benefit-risk ratio of screening. READ MORE