Sökning: "Euclidean geometry"

Visar resultat 1 - 5 av 22 avhandlingar innehållade orden Euclidean geometry.

  1. 1. Geometry and Critical Configurations of Multiple Views

    Författare :Fredrik Kahl; Matematik LTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; algebra; algebraic geometry; field theory; Number Theory; Matematik; Mathematics; reconstruction; image sequence; absolute conic; critical motions; critical surfaces; perspective projection; affine geometry; Euclidean geometry; multiple view geometry; projective geometry; group theory; Talteori; fältteori; algebraisk geometri; gruppteori; Mathematical logic; set theory; combinatories; Matematisk logik; mängdlära; kombinatorik;

    Sammanfattning : This thesis is concerned with one of the core problems in computer vision, namely to reconstruct a real world scene from several images of it. The interplay between the geometry of the scene, the cameras and the images is analyzed. LÄS MER

  2. 2. Géométrie digitale utilisée pour la discretisation et le recouvrement optimal des objets euclidiens

    Författare :Adama Arouna Koné; Christer O. Kiselman; Ouaténi Diallo; Diby Diarra; Gunilla Borgefors; Fana Tangara; Sado Traoré; Uppsala universitet; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Digital geometry; Euclidean lines; planes; Géométrie digitale; droites euclidiens; plans; Mathematics with specialization in Applied Mathematics; Matematik med inriktning mot tillämpad matematik;

    Sammanfattning : A Euclidean line in the plane is discretized and the discretized line is dilated by a rectangle.  The thesis studies the dilations that cover the original line and determine the optimal ones.  Similarly, dilations of discretized Euclidean hyperplanes are studied, and the optimal coverings are described.. LÄS MER

  3. 3. On axioms and images in the history of Mathematics

    Författare :Johanna Pejlare; Gunnar Berg; Leo Corry; Anders Öberg; Göteborgs universitet; Göteborgs universitet; Gothenburg University; []
    Nyckelord :SAMHÄLLSVETENSKAP; HUMANIORA; SOCIAL SCIENCES; HUMANITIES; History of mathematics; axiomatization; intuition; visualization; images; Euclidean geometry; history of mathematics; euclidean geometry; matematikhistoria; MATHEMATICS; MATEMATIK;

    Sammanfattning : This dissertation deals with aspects of axiomatization, intuition and visualization in the history of mathematics. Particular focus is put on the end of the 19th century, before David Hilbert's (1862–1943) work on the axiomatization of Euclidean geometry. The thesis consists of three papers. LÄS MER

  4. 4. 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

  5. 5. Geometric Decompositions and Networks - Approximation Bounds and Algorithms

    Författare :Joachim Gudmundsson; Institutionen för datavetenskap; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; computer technology; Systems engineering; kontroll; system; Delaunay triangulation; Computational geometry; TSP with neighborhoods; geometric spanners; covering polygons; Computer science; numerical analysis; systems; control; numerisk analys; Datalogi; algebraisk topologi; algebraic topology; Geometry; Data- och systemvetenskap; Geometri;

    Sammanfattning : In this thesis we focus on four problems in computational geometry: In the first four chapters we consider the problem of covering an arbitrary polygon with simpler polygons, i.e., rectangles. LÄS MER