All figures and diagrams from HZ1

A (non-exhaustive) list of noteworthy MVG papers from which our readings will be chosen. Marr Prize papers are highlighted in red.

Single View Geometry

• Mundy, J. and Zisserman, A. Repeated Structures: Image Correspondence Constraints and Ambiguity of 3D Reconstruction, Applications of invariance in computer vision (1994) ps.gz PDF
• Criminisi, A. , Reid, I. and Zisserman, A. Single View Metrology, Proceedings of the 7th International Conference on Computer Vision, Kerkyra, Greece (1999) ps.gz PDF

Two-View Geometry

• The Fundamental matrix: theory, algorithms, and stability analysis, Q.-T. Luong and O.D. Faugeras. Intl. Journal of Computer Vision, 17(1):43--76, 1996 postscript acrobat pdf
• Richard Hartley, In Defence of the 8-point Algorithm, ICCV 1995, pdf
• P.H.S. Torr and A. Zisserman. MLESAC: A New Robust Estimator with Application to Estimating Image Geometry. In Journal of Computer Vision and Image Understanding, pages 138—156, 78(1), 2000.
• The Space of All Stereo Images [1311K pdf, revised 03-12-01]
  Steve Seitz, Jiwon Kim. IJCV, Marr Prize Special Issue, 2002, vol. 48, no. 1, pp. 21-38.
• D. Nistér, An efficient solution to the five-point relative pose problem, IEEE Transactions on Pattern Analysis and Machine Intelligence (PAMI), 26(6):756-770, June 2004. PDF

Three-View Geometry

• Olivier Faugeras and Luc Robert, What can two images tell us about a third one?, The International Journal of Computer Vision , 18(1):5-20, April 1996. Also INRIA Research Report 2018 . (paper).
• A. Shashua. Trilinear Tensor: The Fundamental Construct of Multiple-view Geometry and its Applications.International Workshop on Algebraic Frames For The Perception Action Cycle (AFPAC), Kiel Germany Sep. 8-9, 1997.pdf

N-View Geometry (Theory-oriented)

• Factoring Image Sequences into Shape and Motion, C. Tomasi and T. Kanade, Proceedings of IEEE Workshop on Visual Motion, October, 1991, pp. 21-28. pdf [546 KB]
• Bill Triggs. Matching Constraints and the Joint Image. In IEEE Int. Conf. Computer Vision, Cambridge, MA, June 1995. ”Brim-full of tensors”. You might want to also read my (Frank Dellaert) note on Multiview constraints using tensor notation to decode.
• Beardsley, P. A. , Torr, P. H. S. and Zisserman, A. 3D Model Acquisition from Extended Image Sequences, Proceedings of the 4th European Conference on Computer Vision, LNCS 1065, Cambridge (1996) ps.gz PDF
• Long Quan and Takeo Kanade, Affine Structure from Line Correspondences with Uncalibrated Affine Cameras, IEEE Trans.---PAMI, 1997.
• A Theory of Shape by Space Carving. K.N. Kutulakos and S. M. Seitz, International Journal of Computer Vision, Marr Prize Special Issue, 2000, 38(3), pp. 199-218. Earlier version appeared in Proc. Seventh International Conference on Computer Vision (ICCV) , 1999, pp. 307-314. (1M pdf).
• Euclidean Reconstruction and Reprojection up to Subgroups.
  Yi Ma, Stefano Soatto, Jana Kosecka and Shankar S. Sastry, the special issue of International Journal of Computer Vision for David Marr's best paper prize, vol. 38, no. 3, page 217-227, 2000.
• Carsten Rother and Stefan Carlsson, Linear Multi View reconstruction and Camera Recovery using a Reference Plane, IJCV 2002, 49(2/3):117-141 (Special Issue on Multi-View Modeling and Rendering of Visual Scenes) PDF VERSION
• Rank Conditions on the Multiple View Matrix. Yi Ma, Kun Huang, Rene Vidal, Jana Kosecka and Shankar S. Sastry, International Journal of Computer Vision, Vol. 59: No. 2, September 2004.
• B.Micusik, D.Martinec, T.Pajdla. 3D Metric Reconstruction from Uncalibrated Omnidirectional Images. ACCV 2004

N-View Geometry (Practice-oriented)

• P.H.S. Torr, A. Fitzgibbon and A. Zisserman. The Problem of Degeneracy in Structure and Motion Recovery from Uncalibrated Image Sequences. In International Journal of Computer Vision, 32(1), pages 27—45, 1999.
• Bundle Adjustment -- A Modern Synthesis (Revised version to appear in final proceedings of Vision Algorithms'99. PostScript 1.1 MB, PDF 670 kB). B. Triggs, P. McLauchlan, R. Hartley & ~A. Fitzgibbon. A long survey of the various approaches to bundle adjustment, aimed at implementors in the computer vision community.
• P. H. S. Torr and A. Zisserman, Feature Based Methods for Structure and Motion Estimation, Vision Algorithms: Theory and Practice (2000) ps.gz PDF
• Schaffalitzky, F. and Zisserman, A., Multi-view matching for unordered image sets, or ``How do I organize my holiday snaps?'', Proceedings of the 7th European Conference on Computer Vision, Copenhagen, Denmark (2002),  ps.gz PDF
• M. Pollefeys, L. Van Gool, M. Vergauwen, F. Verbiest, K. Cornelis, J. Tops, R. Koch, Visual modeling with a hand-held camera, International Journal of Computer Vision 59(3), 207-232, 2004.[pdf]
• C. Strecha, R. Fransens, L. Van Gool "Wide-baseline Stereo from Multiple Views: a Probabilistic Account", CVPR 2004 vol.2 pages 552-559 [ps] ~[demo]

Self-Calibration

• M. Pollefeys, R. Koch and L. Van Gool. Self-Calibration and Metric Reconstruction in spite of Varying and Unknown Internal Camera Parameters, International Journal of Computer Vision, 32(1), 7-25, 1999. [pdf]
• Linear calibration of a rotating and zooming camera, L. de Agapito, R. Hartley and E. Hayman, In the Proceedings of the Computer Vision and Pattern Recognition Conference, June 1999, Postscript

Non-Rigid Scenes

• A Multibody Factorization Method for Independent Moving Objects, J. Costeira and T. Kanade
  1998 International Journal on Computer Vision, Kluwer, Vol. 29, No. 3, September, 1998., pdf [12053 KB]
• M. Irani, Multi-Frame Optical Flow Estimation Using Subspace Constraints . IEEE International Conference on Computer Vision (ICCV), Corfu, September 1999.
• CVPR 2001 Best Student Paper Award: Tracking and Modeling Non-Rigid Objects with Rank Constraints, Lorenzo Torresani, Danny Yang, Gene Alexander, and Christoph Bregler, Proc. IEEE CVPR 2001 (pdf, ps.gz)
• A Closed-Form Solution to Non-Rigid Shape and Motion Recovery, J. Xiao, J. Chai, and T. Kanade, The 8th European Conference on Computer Vision (ECCV 2004), May, 2004. pdf [802 KB]