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  Euclidean shape and motion from multiple perspective views by affine iterations (1996) [42 citations — 11 self]

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by Radu Horaud
IEEE Transactions on Pattern Analysis and Machine Intelligence
ftp://ftp.inrialpes.fr/pub/movi/publications/rec-affiter-long.ps.gz
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Abstract:

Abstract-- In this paper we describe a method for solving the Euclidean reconstruction problem with a perspective camera model by incrementally performing Euclidean reconstruction with either a weak or a paraperspective camera model. With respect to other methods that compute shape and motion from a sequence of images with a calibrated perspective camera, this method converges in a few iterations, is computationally efficient, and does not suffer from the non linear nature of the problem. With respect to methods that use an affine camera model (such as factorization and/or affine-invariant methods) the method described below solves for the sign (reversal) ambiguity in a very simple way and provides much more accurate reconstructions results. We give a detailed account of the method, analyse its convergence based on numerical and experimental considerations, and test its efficiency with both synthetic and real data.

Citations

682 A versatile Camera Calibration Technique for High-Accuracy 3D Machine Vision Metrology Using Off-the-Shelf TV Cameras and Lenses – Tsai - 1987
639 Shape and motion from image streams under ortography: a factorization approach – Tomasi, Kanade - 1992
476 What can be seen in three dimensions with an uncalibrated stereo rig – Faugeras - 1992
248 Affine Structure from Motion – Koenderink, Doorn - 1991
248 Uniqueness and estimation of threedimensional motion parameters of rigid objects with curved surfaces – Tsai, Huang - 1984
210 Euclidean reconstruction from uncalibrated views – Hartley - 1994
199 A paraperspective factorization method for shape and motion recovery – Poelman, Kanade - 1997
169 Recovering 3D shape and motion from image streams using non linear least squares – Fua, Szeliski, et al. - 1994
149 defence of the 8-point algorithm – In - 1995
140 Shape and Motion from Image Streams: A Factorization Method Part 3 - Detection and Tracking of Point Features – Tomasi, Kanade - 1991
126 Model-based object pose in 25 lines of code – Dementhon, Davis - 1995
75 Structure and motion from line segments in multiple images – Taylor, Kriegman - 1995
71 Estimating the Kinematics and Structure of a Rigid Object from a Sequence of Monocular Images – Broida, Chellappa - 1991
54 Linear and incremental acquisition of invariant shape models from image sequences – Weinshall, Tomasi - 1995
41 Object pose: The link between weak perspective, paraperspective, and full perspective – Horaud, Dornaika, et al. - 1997
40 Euclidean constraints for uncalibrated reconstruction – Boufama, Mohr, et al. - 1993
39 Motion from point matches using affine epipolar geometry – Shapiro, Zisserman, et al. - 1994
37 Self-calibration of an affine camera from multiple views – Quan - 1996
37 Model-based invariants for 3-D vision – Weinshall - 1993
36 Perspective approximations – Aloimonos - 1990
30 L.S.: Model-Based Object Pose in 25 – DeMenthon, Davis - 1995
18 Extended structure and motion analysis from monocular image sequences – Cui, Weng, et al. - 1990
14 Structure and motion in two dimensions from multiple images: A least squares approach – Taylor, Kriegman, et al. - 1991
12 Object pose: Links between paraperspective and perspective – Horaud, Christy, et al. - 1995
12 Motion and structure factorization and segmentation of long image sequences – Debrunner, Ahuja - 1992
2 Computing motion and stucture in image sequences without calbration – Vieville, Luong - 1994
1 Self-calibration of an affine camera – Quan - 1995