Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Homogeneous_coordinates> ?p ?o. }
Showing items 1 to 46 of
46
with 100 items per page.
- Homogeneous_coordinates abstract "In mathematics, homogeneous coordinates or projective coordinates, introduced by August Ferdinand Möbius in his 1827 work Der barycentrische Calcül, are a system of coordinates used in projective geometry, as Cartesian coordinates are used in Euclidean geometry. They have the advantage that the coordinates of points, including points at infinity, can be represented using finite coordinates. Formulas involving homogeneous coordinates are often simpler and more symmetric than their Cartesian counterparts. Homogeneous coordinates have a range of applications, including computer graphics and 3D computer vision, where they allow affine transformations and, in general, projective transformations to be easily represented by a matrix.If the homogeneous coordinates of a point are multiplied by a non-zero scalar then the resulting coordinates represent the same point. An additional condition must be added on the coordinates to ensure that only one set of coordinates corresponds to a given point, so the number of coordinates required is, in general, one more than the dimension of the projective space being considered. For example, two homogeneous coordinates are required to specify a point on the projective line and three homogeneous coordinates are required to specify a point on the projective plane.".
- Homogeneous_coordinates thumbnail RationalBezier2D.svg?width=300.
- Homogeneous_coordinates wikiPageExternalLink v=onepage&q&f=false.
- Homogeneous_coordinates wikiPageExternalLink v=onepage.
- Homogeneous_coordinates wikiPageExternalLink v=onepage.
- Homogeneous_coordinates wikiPageExternalLink books?id=WNjRrqTm62QC&pg=PA134.
- Homogeneous_coordinates wikiPageExternalLink books?id=j0gNAAAAYAAJ&pg=PA11.
- Homogeneous_coordinates wikiPageExternalLink books?id=qjg6GOQaHNEC&pg=PA13.
- Homogeneous_coordinates wikiPageExternalLink books?id=yCsDO425PC0C&pg=PA357.
- Homogeneous_coordinates wikiPageExternalLink v=onepage.
- Homogeneous_coordinates wikiPageExternalLink HomogeneousCoordinates.html.
- Homogeneous_coordinates wikiPageExternalLink homo-coor.html.
- Homogeneous_coordinates wikiPageExternalLink homog-coords.pdf.
- Homogeneous_coordinates wikiPageID "243316".
- Homogeneous_coordinates wikiPageRevisionID "601978818".
- Homogeneous_coordinates hasPhotoCollection Homogeneous_coordinates.
- Homogeneous_coordinates title "Homogeneous Coordinates".
- Homogeneous_coordinates urlname "HomogeneousCoordinates".
- Homogeneous_coordinates subject Category:Linear_algebra.
- Homogeneous_coordinates subject Category:Projective_geometry.
- Homogeneous_coordinates comment "In mathematics, homogeneous coordinates or projective coordinates, introduced by August Ferdinand Möbius in his 1827 work Der barycentrische Calcül, are a system of coordinates used in projective geometry, as Cartesian coordinates are used in Euclidean geometry. They have the advantage that the coordinates of points, including points at infinity, can be represented using finite coordinates.".
- Homogeneous_coordinates label "Coordenadas homogéneas".
- Homogeneous_coordinates label "Coordenadas homogêneas".
- Homogeneous_coordinates label "Coordinate omogenee".
- Homogeneous_coordinates label "Coordonnées homogènes".
- Homogeneous_coordinates label "Homogene Koordinaten".
- Homogeneous_coordinates label "Homogene coördinaten".
- Homogeneous_coordinates label "Homogeneous coordinates".
- Homogeneous_coordinates label "Współrzędne jednorodne".
- Homogeneous_coordinates label "Однородные координаты".
- Homogeneous_coordinates label "إحداثيات متجانسة".
- Homogeneous_coordinates label "齐次坐标".
- Homogeneous_coordinates sameAs Homogene_Koordinaten.
- Homogeneous_coordinates sameAs Coordenadas_homogéneas.
- Homogeneous_coordinates sameAs Coordonnées_homogènes.
- Homogeneous_coordinates sameAs Coordinate_omogenee.
- Homogeneous_coordinates sameAs 동차좌표.
- Homogeneous_coordinates sameAs Homogene_coördinaten.
- Homogeneous_coordinates sameAs Współrzędne_jednorodne.
- Homogeneous_coordinates sameAs Coordenadas_homogêneas.
- Homogeneous_coordinates sameAs m.01k8gf.
- Homogeneous_coordinates sameAs Q528525.
- Homogeneous_coordinates sameAs Q528525.
- Homogeneous_coordinates wasDerivedFrom Homogeneous_coordinates?oldid=601978818.
- Homogeneous_coordinates depiction RationalBezier2D.svg.
- Homogeneous_coordinates isPrimaryTopicOf Homogeneous_coordinates.
