Weighted Points and Lines in Projective Plane of order 17

The projective reconstruction of points, lines, quadrics, plane conics and degenerate quadrics using uncalibrated cameras

In this paper we present an algorithm for the simultaneous projective reconstruction of points, lines, quadrics, plane conics and degenerate quadrics using Bundle Adjustment. In contrast, most existing work on projective reconstruction focuses mainly on one type of primitive. Furthermore, for the reconstruction of quadrics (both full-rank and degenerate) and plane conics, a novel algorithm for ...

Additively Weighted Voronoi Diagram on the Oriented Projective Plane Additively Weighted Voronoi Diagram on the Oriented Projective Plane

We consider Voronoi diagrams deened on the oriented projective plane T 2. In this geometry, the closest and furthest site diagrams are antipodal. We give a simple on-line incremental algorithm for constructing the additively weighted diagram. This diagram, which may be disconnected in Euclidean plane, is always connected in T 2 and has exactly 3n ? 6 edges and 2n ? 4 vertices, where n is the nu...

Exceptional Points of an Endomorphism of the Projective Plane

Ideals of Six General Fat Points on the Projective Plane

Let X be the blowup of P 2 at six general points p 1 ; : : :; p 6 and let L X be the total transform of a line on P 2. We show that the natural multiplication map ? L)) has maximal rank for any numerically eeective divisor F on X. This fact implicitly allows determination of minimal free resolutions for ideals deening fat point subschemes Z = m 1 p 1 + + m 6 p 6 of P 2 .

Real Projective Plane Mapping for Detection of Orthogonal Vanishing Points

This paper deals with the detection of orthogonal vanishing points in the Manhattan world. We are using a modified scheme of the Cascaded Hough Transform where only one Hough space is accumulated – the space of the vanishing points. The parameterization of the VPs is based on the PClines line parameterization and it is defined as a mapping of the whole real projective plane to a finite space (t...