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Linear Pushbroom Cameras
 IEEE Transactions on Pattern Analysis and Machine Intelligence
, 1994
"... Modelling th# push broom sensors commonly used in satellite imagery is quite di#cult and computationally intensive due to th# complicated motion ofth# orbiting satellite with respect to th# rotating earth# In addition, th# math#46 tical model is quite complex, involving orbital dynamics, andh#(0k is ..."
Abstract

Cited by 139 (5 self)
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Modelling th# push broom sensors commonly used in satellite imagery is quite di#cult and computationally intensive due to th# complicated motion ofth# orbiting satellite with respect to th# rotating earth# In addition, th# math#46 tical model is quite complex, involving orbital dynamics, andh#(0k is di#cult to analyze. Inth#A paper, a simplified model of apush broom sensor(th# linear push broom model) is introduced. Ith as th e advantage of computational simplicity wh#A9 atth# same time giving very accurate results compared with th# full orbitingpush broom model. Meth# ds are given for solving th# major standardph# togrammetric problems for th e linear push broom sensor. Simple noniterative solutions are given for th# following problems : computation of th# model parameters from groundcontrol points; determination of relative model parameters from image correspondences between two images; scene reconstruction given image correspondences and groundcontrol points. In addition, th# linearpush broom model leads toth#0 retical insigh ts th# t will be approximately valid for th# full model as well.Th# epipolar geometry of linear push broom cameras in investigated and sh own to be totally di#erent from th at of a perspective camera. Neverth eless, a matrix analogous to th e essential matrix of perspective cameras issh own to exist for linear push broom sensors. Fromth#0 it is sh# wn th# t a scene is determined up to an a#ne transformation from two viewswith linearpush broom cameras. Keywords :push broom sensor, satellite image, essential matrixph# togrammetry, camera model The research describ ed in this paper hasb een supportedb y DARPA Contract #MDA97291 C0053 1 Real Push broom sensors are commonly used in satellite cameras, notably th# SPOT satellite forth# generatio...
Invariants of lines in space
 In Proc. DARPA Image Understanding Workshop
, 1993
"... This paper describes a pair of projectivity invariants of four lines in three dimensional projective space, P3. Invariants are derived in both algebraic and geometric terms, and the connection between the two ways of defining the invariants is established. Since a count of the number of degrees of f ..."
Abstract

Cited by 9 (3 self)
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This paper describes a pair of projectivity invariants of four lines in three dimensional projective space, P3. Invariants are derived in both algebraic and geometric terms, and the connection between the two ways of defining the invariants is established. Since a count of the number of degrees of freedom would predict the existence of a single invariant, rather that the two that are shown to exist, an isotropy of the four lines must exist. The nature of this isotropy is investigated. It is shown that once the epipolar geometry is known, the invariants of four lines may be computed from the images of the four lines in two distinct views with uncalibrated cameras. An example with real images is computed to shows that the invariants are effective in distinguishing different geometrical configurations of lines. 1