Title :
Algebraic and geometric tools to compute projective and permutation invariants
Author :
Csurka, Gabriella ; Faugeras, Olivier
Author_Institution :
Geneva Univ., Switzerland
fDate :
1/1/1999 12:00:00 AM
Abstract :
Studies the computation of projective invariants in pairs of images from uncalibrated cameras and presents a detailed study of the projective and permutation invariants for configurations of points and/or lines. Two basic computational approaches are given, one algebraic and one geometric. In each case, invariants are computed in projective space or directly from image measurements. Finally, we develop combinations of those projective invariants which are insensitive to permutations of the geometric primitives of each of the basic configurations
Keywords :
algebra; geometry; stereo image processing; algebraic tools; geometric primitives; geometric tools; image measurements; permutation invariants; projective invariants; uncalibrated cameras; Algebra; Calibration; Cameras; Computational geometry; Extraterrestrial measurements; Image reconstruction; Object detection; Robot vision systems; Stereo image processing; Stereo vision;
Journal_Title :
Pattern Analysis and Machine Intelligence, IEEE Transactions on