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Visar resultat 1 - 5 av 26 avhandlingar som matchar ovanstående sökkriterier.

  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

  3. 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 :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

  4. 3. The geometry of manifolds with asymptotically flat ends

    Författare :Bernardo Hipólito Fernandes; Mattias Dahl; Stephen McCormick; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics;

    Sammanfattning : This monograph thesis is divided into two chapters.In the first, "A study of ALF structures", we prove that the structure at infinity of a ALF manifold is essentially unique, i.e. LÄS MER

  5. 4. Topological and geometrical methods in data analysis

    Författare :Oliver Gäfvert; Sandra di Rocco; Henry Schenck; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; multiparameter persistent homology; computational algebraic geometry; algorithms; complexity; Mathematics; Matematik;

    Sammanfattning : This thesis concerns two related data analysis pipelines, using topological and geometrical methods respectively, to extract relevant information. The first pipeline, referred to as the topological data analysis (TDA) pipeline, constructs a filtered simplicial complex on a given data set in order to describe its shape. LÄS MER

  7. 5. 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