Sökning: "Euclidean geometry"
Visar resultat 1 - 5 av 22 avhandlingar innehållade orden Euclidean geometry.
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. Géométrie digitale utilisée pour la discretisation et le recouvrement optimal des objets euclidiens
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
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
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
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