Search for dissertations about: "Real projective space"

Showing result 1 - 5 of 7 swedish dissertations containing the words Real projective space.

  2. 1. Projective Links and Their Invariants

    Author : Maciej Mroczkowski; Oleg Viro; Jozef Przytycki; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Algebra and geometry; Real projective space; skein modules; Homfly polynomial; Kauffman polynomial; descending link diagram; Algebra och geometri; Algebra and geometry; Algebra och geometri;

    Abstract : This thesis consists of two papers about knots and links in the real projective space RP3. We present an algorithm to unknot diagrammatically knots and links in RP3. We extend two classical polynomial invariants of links in R3 to links in RP3. READ MORE

  4. 2. Invariancy Methods for Points, Curves and Surfaces in Computational Vision

    Author : Karl Åström; Matematik LTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; curved surface; space curve; planar curve; laser guided vehicles; AGV; autonomous guided vehicles; recognition; reconstruction; image sequence; multiple view geometry; affine; invariant; projective; Mathematics; Matematik;

    Abstract : Many issues in computational vision can be understood from the interplay between camera geometry and the structure of images and objects. Typically, the image structure is available and the goal is to reconstruct object structure and camera geometry. This is often difficult due to the complex interdependence between these three entities. READ MORE

  5. 3. Topics in projective algebraic optimization

    Author : Lukas Gustafsson; Sandra Di Rocco; Kathlén Kohn; Cordian Riener; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : This thesis explores optimization challenges within algebraic statistics, employing both topological and geometrical methodologies to derive new insights. The main focus is the optimization degree of nearest point and Gaussian maximum likelihood estimation problems with algebraic constraints. READ MORE

  6. 4. Knots and Surfaces in Real Algebraic and Contact Geometry

    Author : Johan Björklund; Tobias Ekholm; Grigory Mikhalkin; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Algebra and geometry; Algebra och geometri; Mathematics; Matematik;

    Abstract : This thesis consists of a summary and three articles. The thesis is devoted to the study of knots and surfaces with additional geometric structures compared to the classical smooth structure. READ MORE

  7. 5. Studies in general relativity and quantum mechanics

    Author : Nuno Baltazar Fogaça Barros e Sá; Marc Henneaux; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Theoretical Physics; teoretisk fysik;

    Abstract : This work approaches two different subjects in theoretical Physics: General relativity, and the geometry of the space of quantum states.Concerning the former subject we review the Lagrangian and Hamiltonian formulations of General relatvity with particular emphasis on its description by means of tetrads and connections, either real or complex self-dual. READ MORE