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  Omni-Rig: Linear Self-Recalibration of a Rig with Varying Internal and External Parameters (2001) [4 citations — 2 self]

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by Assaf Zomet, Lior Wolf, Amnon Shashua
Proc. Eighth IEEE Int. Conf. on Computer Vision
http://www.cs.huji.ac.il/~shashua/papers/omni-iccv01.pdf
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Abstract:

We describe the principles of building a moving vision platform (a Rig) that once calibrated can thereon self-adjust to changes in its internal configuration and maintain an Euclidean representation of the 3D world using only projective measurements. We term this calibration paradigm “Omni-Rig”. We assume that after calibration the cameras may change critical elements of their configuration, including internal parameters and centers of projection. Theoretically we show that knowing only the rotations between a set of cameras is sufficient for Euclidean calibration even with varying internal parameters and unknown translations. No other information of the world is required. 1.

Citations

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157 Auto-calibration and the absolute quadric – Triggs - 1997
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73 3-D scene representation as a collection of images and fundamental matrices – Laveau, Faugeras - 1994
69 Stratification of three-dimensional vision: Projective, affine and metric representations – Faugeras - 1995
56 Euclidean reconstruction from constant intrinsic parameters – Heyden, Astrom - 1996
50 Novel view synthesis by cascading trilinear tensors – Avidan, Shashua - 1999
46 Duality of Reconstruction and Positioning from Projective Views – Carlsson - 1995
45 Self-calibration and Euclidean reconstruction using motions of a stereo rig – Horaud, Csurka - 1998
44 Affine Reconstruction from Perspective Image Pairs Obtained by a Translating Camera – VanGool, Moons, et al. - 1994
40 Euclidean constraints for uncalibrated reconstruction – Boufama, Mohr, et al. - 1993
32 A stratified approach to metric self-calibration – Pollefeys, Van - 1997
29 Trilinear tensor: the fundamental construct of multiple-view geometry and its applications – Shashua
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2 Selfcalibration using image triplets – Armstrong, Zisserman, et al. - 1996
2 Omni-Rig Sensors: What Can be Done With a Non-Rigid Vision Platform – Shashua - 1998