Computing Structure and Motion of General 3D Curves from Monocular Sequences of Perspective Images

作者: Théo Papadopoulo , Olivier Faugeras

DOI: 10.1007/3-540-61123-1_182

关键词: MathematicsReal imageComputer visionMotion fieldConstraint (information theory)Artificial intelligenceVisibility (geometry)Motion analysisCardinal pointPerspective (graphical)Optical flow

摘要: This paper discusses the problem of recovering 3D motion and structure for rigid curves. For general curves, there is exactly one constraint each image point that relates so-called spatio-temporal derivatives to instantaneous parameters. However, this directly derives from perspective equations thus ignores fact viewed object must be entirely in front focal plane. provides a description some constraints insuring visibility curve examines their geometrical consequences reconstructions. Ignoring them leads erroneous solutions with high probability even when using perfect data. An algorithm which takes advantage these proposed. The accuracy obtained results demonstrated on both synthetic real sequences.

参考文章(12)
Emmanuel Arbogast, Roger Mohr, An egomotion algorithm based on the tracking of arbitrary curves Computer Vision — ECCV'92. ,vol. 588, pp. 467- 475 ,(1992) , 10.1007/3-540-55426-2_52
Stefan Carlsson, Sufficient image structure for 3-D motion and shape estimation european conference on computer vision. pp. 83- 91 ,(1994) , 10.1007/3-540-57956-7_8
Xinhua Zhuang, Thomas S Huang, Narendra Ahuja, Robert M Haralick, None, A simplified linear optic-flow motion algorithm Graphical Models \/graphical Models and Image Processing \/computer Vision, Graphics, and Image Processing. ,vol. 42, pp. 334- 344 ,(1988) , 10.1016/S0734-189X(88)80043-4
K.Y. Wohn, J. Wu, R.W. Brockett, A contour-based recovery of image flow: Iterative transformation method IEEE Transactions on Pattern Analysis and Machine Intelligence. ,vol. 13, pp. 746- 760 ,(1991) , 10.1109/34.85666
The interpretation of a moving retinal image Proceedings of The Royal Society B: Biological Sciences. ,vol. 208, pp. 385- 397 ,(1980) , 10.1098/RSPB.1980.0057
J. Weng, T.S. Huang, N. Ahuja, Motion and structure from line correspondences; closed-form solution, uniqueness, and optimization IEEE Transactions on Pattern Analysis and Machine Intelligence. ,vol. 14, pp. 318- 336 ,(1992) , 10.1109/34.120327
Olivier Faugeras, Three-dimensional computer vision: a geometric viewpoint computer aided architectural design futures. ,vol. 29, ,(1993)
Ellen C Hildreth, Shimon Ullman, The Measurement of Visual Motion ,(1984)
Roberto Cipolla, Kalle E Astrom, Peter J Giblin, Motion from the frontier of curved surfaces international conference on computer vision. pp. 269- 275 ,(1995) , 10.1109/ICCV.1995.466775
Théo Papadopoulo, Olivier Faugeras, Motion field of curves: applications european conference on computer vision. pp. 71- 82 ,(1994) , 10.1007/3-540-57956-7_7