Homogeneous coordinates

GPTKB entity

Statements (24)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:allows linear representation of translations
linear representation of perspective transformations
gptkbp:dimensions n+1 for n-dimensional space
gptkbp:equivalent_if differ by a nonzero scalar multiple
https://www.w3.org/2000/01/rdf-schema#label Homogeneous coordinates
gptkbp:introduced gptkb:August_Ferdinand_Möbius
1827
gptkbp:relatedTo gptkb:geometry
affine coordinates
barycentric coordinates
gptkbp:represented_as tuples of numbers, not all zero
gptkbp:used_in gptkb:geometry
computer graphics
robotics
matrix representation of geometric transformations
gptkbp:usedFor affine transformations
3D computer vision
projective transformations
camera modeling
representing points at infinity
gptkbp:bfsParent gptkb:Trilinear_Coordinates
gptkb:Projective_plane
gptkbp:bfsLayer 7