18.9.1 Factorization Approach to Motion

Tomasi, C.[Carlo],
Shape and Motion from Image Streams: A Factorization Method,
CMU-CS-TR-91-172, September 1991. BibRef 9109 Ph.D.Thesis (CS). SVD. Motion, Factorization. The thesis that combines all the other reports. Break motion into Rotation and Structure (From the SVD decomposition). Then solve for the two matricies and produce the structure. BibRef

Tomasi, C.[Carlo], Kanade, T.[Takeo],
Shape and Motion from Image Streams: A Factorization Method 2. Full Report on the Orthographic Case [Parts 2,8,10],
CMU-CS-TR-TR-104, January 1992. Text:
Postscript Version. Figures:
Postscript Version. BibRef 9201

Tomasi, C.[Carlo], Kanade, T.[Takeo],
Shape and Motion from Image Streams: A Factorization Method 2. Point Features in 3D Motion,
CMU-CS-TR-91-105, January 1991.
Postscript Version. BibRef 9101

Tomasi, C., and Kanade, T.,
Shape and Motion from Image Streams under Orthography: A Factorization Method,
IJCV(9), No. 2, November 1992, pp. 137-154. BibRef 9211
Earlier:
The Factorization Method for the Recovery of Shape and Motion from Image Streams,
DARPA92(459-472). BibRef
And:
Factoring Images Sequences into Shape and Motion,
Motion91(21-28). Combination of the series of reports. Motion is decomposed into a rotation and structure matrix. Works for some kinds of motion. The other papers (below) are all related to this work. BibRef

Tomasi, C.,
Pictures and Trails: a New Framework for the Computation of Shape and Motion from Perspective Image Sequences,
CVPR94(913-918).
IEEE Abstract. IEEE Top Reference. BibRef 9400

Tomasi, C., and Kanade, T.,
Shape and Motion from Image Streams: A Factorization Method 1. Planar Motion,
CMU-CS-TR-90-166, CMU CS Dept., September 1990. Decompose the image stream into shape and camera motion using single scanline images. BibRef 9009

Tomasi, C., and Kanade, T.,
Shape and Motion from Image Streams: A Factorization Method Part 3 - Detection and Tracking of Point Features,
CMU-CS-TR-91-132, CMU CS Dept., April 1991. Given the small inter-frame distance (required), the Lucas and Kanade tracking approach is best ( See also Iterative Image Registration Technique with an Application to Stereo Vision, An. ).
Postscript Version. Further developed by: See also Good Features to Track. BibRef 9104

Weinshall, D., and Tomasi, C.,
Linear and Incremental Acquisition of Invariant Shape Models from Image Sequences,
PAMI(17), No. 5, May 1995, pp. 512-517.
IEEE Abstract. IEEE Top Reference.
WWW Version. BibRef 9505
Earlier: ICCV93(675-682).
WWW Version. Generate 3D models from the motion sequence. See also Model-Based Invariants for 3-D Vision. BibRef

Tomasi, C., and Kanade, T.,
Shape and Motion without Depth,
ICCV90(91-95).
WWW Version. BibRef 9000
And: DARPA90(258-270). BibRef
And: CMU-CS-TR-90-128, May 1990. The shape (cylinder) is determined without depth or accurate motion by tracking many points through several frames. BibRef

Quan, L.[Long], Kanade, T.,
Affine Structure from Line Correspondences with Uncalibrated Affine Cameras,
PAMI(19), No. 8, August 1997, pp. 834-845.
IEEE Abstract. IEEE Top Reference.
WWW Version. 9709 Motion, Three frames. Linear algorithm, 7 lines in 3 views. Introduces a one-dimensional projective camera. BibRef

Quan, L., Kanade, T.,
A Factorization Method for Shape and Motion from Line Correspondences,
CVPR96(803-808).
IEEE Abstract. IEEE Top Reference.
WWW Version. Extension to Line features. BibRef 9600

Costeira, J.P.[Joao P.], Kanade, T.[Takeo],
A Multibody Factorization Method for Independently Moving-Objects,
IJCV(29), No. 3, September 1998, pp. 159-179.
WWW Version. 9811 BibRef
Earlier:
A Multi-Body Factorization Method for Motion Analysis,
ICCV95(1071-1076).
WWW Version.
WWW Version. BibRef
And: ARPA96(1013-1026). BibRef
And: CMU-CS-TR-94-220. September 1994. Factorization approach to handle separate objects. Look for paper in:
HTML Version. BibRef

Morita, T.[Toshihiko], and Kanade, T.[Takeo],
A Sequential Factorization Method for Recovering Shape and Motion from Image Streams,
PAMI(19), No. 8, August 1997, pp. 858-867.
IEEE Abstract. IEEE Top Reference.
WWW Version. 9709 BibRef
Earlier: A2, A1: ARPA94(II:1177-1187). BibRef
And: CMU-CS-TR-94-158, May 1994. SVD. Singular value Decomposition based method, in a sequential manner for real time applications. SVD replaced with an updating computation of three eigenvectors. Nearly as accurate (and more applicable to real-time processing) as the original formulations.
Postscript Version. BibRef

Poelman, C.J.[Conrad J.], Kanade, T.,
A Paraperspective Factorization Method for Shape and Motion Recovery,
PAMI(19), No. 3, March 1997, pp. 206-218.
IEEE Abstract. IEEE Top Reference.
WWW Version. 9704 BibRef
Earlier:
A Paraperspective Factorization for Shape and Motion Recovery,
ECCV94(B:97-108).
WWW Version. BibRef
And: DARPA93(683-690). BibRef
Earlier: CMU-CS-TR-93-219, December 1993.
Postscript Version. BibRef
Earlier: CMU-CS-TR-92-208, October 1992.
Postscript Version. Entends the orthographic restriction. BibRef

Poelman, C.J.[Conrad J.],
The Paraperspective and Projective Factorization Methods for Recovering Shape and Motion,
CMU-CS-TR-95-173, July 1995. BibRef 9507 Ph.D.Thesis, CS. BibRef

Goldgof, D.B., Lee, H., Huang, T.S.,
Matching and Motion Estimation of Three-Dimensional Point and Line Sets Using Eigenstructure without Correspondences,
PR(25), No. 3, March 1992, pp. 271-286.
WWW Version. BibRef 9203

Lin, Z.C., Huang, T.S., Blostein, S.D., Lee, H., and Margerum, E.A.,
Motion Estimation from 3-D Point Sets with and without Correspondences,
CVPR86(194-201). Another version of some of the earlier papers, actually a combination of 2 different papers. BibRef 8600

Sim, P.G., and Park, R.H.,
Anisotropic Hierarchical Motion Estimation Method Based on Decomposition of the Functional Domain,
JVCIR(7), 1996, pp. 259-272. BibRef 9600

Christy, S.[Stephane], Horaud, R.[Radu],
Euclidean Shape and Motion from Multiple Perspective Views by Affine Iterations,
PAMI(18), No. 11, November 1996, pp. 1098-1104.
IEEE Abstract. IEEE Top Reference.
WWW Version. 9612 BibRef
And: TRRR-2421, INRIA, December 1994.
Postscript Version. BibRef
Earlier:
Euclidean Reconstruction: From Paraperspective to Perspective,
ECCV96(II:129-140).
WWW Version. Motion, Multiple frames. Incrementally coverge to the solution. Shape and motion from a sequence of images. Calibrated camera. BibRef

Soatto, S.[Stefano], Perona, P.[Pietro],
Recursive 3-D Visual-Motion Estimation Using Subspace Constraints,
IJCV(22), No. 3, March/April 1997, pp. 235-259.
WWW Version. 9706 BibRef
Earlier:
Visual motion estimation from point features: unified view,
ICIP95(III: 21-24).
WWW Version. 9510 BibRef
Earlier:
Recursive estimation of camera motion from uncalibrated image sequences,
ICIP94(III: 58-62).
WWW Version. 9411 BibRef
And:
Dynamic visual motion estimation from subspace constraints,
ICIP94(I: 333-337).
WWW Version. 9411 BibRef

Oskarsson, M.[Magnus], Zisserman, A.[Andrew], Astrom, K.[Kalle],
Minimal Projective Reconstruction for Combinations of Points and Lines in Three Views,
IVC(22), No. 10, 1 September 2004, pp. 777-785.
WWW Version. 0409 BibRef
Earlier: BMVC02(Reconstruction). 0208 BibRef

Åström, K., Heyden, A., Kahl, F., Oskarsson, M.,
Structure and Motion from Lines under Affine Projections,
ICCV99(285-292).
WWW Version. BibRef 9900

Heyden, A., Berthilsson, R., Sparr, G.,
Recursive Structure and Motion from Image Sequences Using Shape and Depth Spaces,
CVPR97(444-449).
IEEE Abstract. IEEE Top Reference.
WWW Version. 9704Subspace methods. BibRef

Huynh, D.Q., Hartley, R.I., Heyden, A.,
Outlier correction in image sequences for the affine camera,
ICCV03(585-590).
WWW Version. 0311For factorization approach, outliers break the SVD computations. Iteratively correct the outliers. BibRef

Åström, K.[Kalle], Oskarsson, M.[Magnus],
Solutions and Ambiguities of the Structure and Motion Problem for 1D Retinal Vision,
JMIV(12), No. 2, April 2000, pp. 121-135.
WWW Version. 0002 BibRef
Earlier: SCIA99(Computer Vision). BibRef

Åström, K.[Kalle], Kahl, F.[Fredrik],
Ambiguous Configurations for the 1D Structure and Motion Problem,
JMIV(18), No. 2, March 2003, pp. 191-203.
WWW Version. 0301 BibRef
Earlier: A1, A2: ICCV01(I: 184-189).
WWW Version. 0106 BibRef

Kahl, F.[Fredrik],
Critical Motions and Ambiguous Euclidean Reconstructions in Auto-Calibration,
ICCV99(469-475).
WWW Version. Calibration, Self. BibRef 9900

Kahl, F.[Fredrik], Triggs, B.[Bill],
Critical Motions in Euclidean Structure from Motion,
CVPR99(II: 366-372).
IEEE Abstract. IEEE Top Reference.
WWW Version. Motions that lead to ambiguous 3-D reconstructions. BibRef 9900

Kahl, F.[Fredrik], Heyden, A.[Anders],
Euclidean Reconstruction and Auto-Calibration from Continuous Motion,
ICCV01(II: 572-577).
WWW Version. 0106 BibRef

Heyden, A.[Anders], Kahl, F.[Fredrik],
Direct Affine Reconstruction,
ICPR00(Vol I: 885-888).
WWW Version.
HTML Version. 0009 BibRef
Earlier:
Reconstruction from Affine Cameras Using Closure Constraints,
ICPR98(Vol I: 47-50).
WWW Version. 9808 BibRef

Heyden, A.[Anders], Kahl, F.[Fredrik],
Robust Self-Calibration and Euclidean Reconstruction via Affine Approximation,
ICPR98(Vol I: 56-58).
WWW Version. 9808 BibRef

Kahl, F., Hartley, R.I.,
Critical Curves and Surfaces for Euclidean Reconstruction,
ECCV02(II: 447 ff.).
HTML Version. 0205 See also Critical Configurations for Projective Reconstruction from Multiple Views. BibRef

Kahl, F.[Fredrik], Hartley, R.I.[Richard I.], and Aström, K.[Kalle],
Critical Configurations for N-view Projective Reconstruction,
CVPR01(II:158-163).
IEEE Abstract. IEEE Top Reference. 0110configuration of n >=3 cameras and m points all lying on the intersection of two distinct ruled quadrics is critical. BibRef

Kahl, F.[Fredrik], Heyden, A.[Anders],
Affine Structure and Motion from Points, Lines and Conics,
IJCV(33), No. 3, September 1999, pp. 163-180.
WWW Version. BibRef 9909
Earlier:
Structure and motion from points, lines and conics with affine cameras,
ECCV98(I: 327).
WWW Version. BibRef

Hammarstedt, P.[Pär], Kahl, F.[Fredrik], Heyden, A.[Anders],
Affine Reconstruction from Translational Motion under Various Autocalibration Constraints,
JMIV(24), No. 2, March 2006, pp. 245-257.
WWW Version. 0605 BibRef
Earlier:
Affine structure from translational motion with varying and unknown focal length,
ICPR04(I: 120-123).
WWW Version. 0409 BibRef
Earlier:
Affine Structure from Translational Motion in Image Sequences,
SCIA03(387-394).
WWW Version. 0310 BibRef

Hammarstedt, P., Heyden, A.,
Euclidean reconstruction from translational motion using multiple cameras,
3DIM05(352-359).
WWW Version. 0508 BibRef

Nyberg, F.[Fredrik], Dahl, O.[Ola], Holst, J.[Jan], Heyden, A.[Anders],
Using a Connected Filter for Structure Estimation in Perspective Systems,
WDV06(270-284).
WWW Version. 0705 BibRef

Heyden, A.[Anders], Nyberg, F.[Fredrik], Dahl, O.[Ola],
Recursive Structure and Motion Estimation Based on Hybrid Matching Constraints,
SCIA07(142-151).
WWW Version. 0706 BibRef

Nyberg, F.[Fredrik], Heyden, A.[Anders],
Recursive Structure from Motion Using Hybrid Matching Constraints with Error Feedback,
WDV06(285-298).
WWW Version. 0705For real time tracking. BibRef

Debrunner, C.H.[Christian H.], Ahuja, N.[Narendra],
Segmentation and Factorization-Based Motion and Structure Estimation for Long Image Sequences,
PAMI(20), No. 2, February 1998, pp. 206-211.
IEEE Abstract. IEEE Top Reference.
WWW Version. 9803 BibRef
Earlier:
Motion and Structure Factorization and Segmentation of Long Multiple Motion Image Sequences,
ECCV92(217-221).
WWW Version. BibRef
And: DARPA92(543-547). Analysis of rigid motions of robot arm. BibRef

Debrunner, C.H., and Ahuja, N.,
A Direct Data Approximation Based Motion Estimation Algorithm,
ICPR90(I: 384-389).
WWW Version. Several frames orthographic views. BibRef 9000

Heyden, A., Berthilsson, R., Sparr, G.,
An iterative factorization method for projective structure and motion from image sequences,
IVC(17), No. 13, 1 November 1999, pp. 981-991.
WWW Version. 9911 BibRef

Heyden, A.[Anders],
Projective Structure and Motion from Image Sequences Using Subspace Methods,
SCIA97(xx-yy) 9705
HTML Version. BibRef

Ben-Arie, J., Wang, Z.,
Estimation of 3-D Motion Using Eigen-Normalization and Expansion Matching,
IP(9), No. 9, September 2000, pp. 1636-1640.
WWW Version. 0008 See also Generalized Feature Extraction Using Expansion Matching. BibRef

Sun, Z.H.[Zhao-Hui], Tekalp, A.M.[A. Murat], Navab, N.[Nassir], Ramesh, V.[Visvanathan],
Interactive Optimization of 3D Shape and 2D Correspondence Using Multiple Geometric Constraints via POCS,
PAMI(24), No. 4, April 2002, pp. 562-569.
IEEE Abstract. IEEE Top Reference.
WWW Version. 0204POCS (projections onto convex sets). Structure from motion. BibRef

Rother, C.[Carsten], Carlsson, S.[Stefan],
Linear Multi View Reconstruction and Camera Recovery Using a Reference Plane,
IJCV(49), No. 2-3, September-October 2002, pp. 117-141.
WWW Version. 0209 BibRef
Earlier:
Linear Multi View Reconstruction and Camera Recovery,
ICCV01(I: 42-50).
WWW Version. 0106Handheld pictures, reference plan is visible in all images. Manual match of 120 points in 30 images, solve a 400X1000 system. Takes 3-4 hours total for the process. BibRef

Rother, C.[Carsten], Carlsson, S.[Stefan],
Linear Multi View Reconstruction with Missing Data,
ECCV02(II: 309 ff.).
HTML Version. 0205 BibRef

Rother, C.,
Linear multi-view reconstruction of points, lines, planes and cameras using a reference plane,
ICCV03(1210-1217).
WWW Version. 0311 BibRef

Aguiar, P.M.Q.[Pedro M.Q.], Moura, J.M.F.[Jose M.F.],
Rank 1 weighted factorization for 3D structure recovery: Algorithms and performance analysis,
PAMI(25), No. 9, September 2003, pp. 1134-1149.
IEEE Abstract. IEEE Top Reference. 0309 BibRef
Earlier:
Factorization as a Rank 1 Problem,
CVPR99(I: 178-184).
IEEE Abstract. IEEE Top Reference.
WWW Version. Recover the structure from a Rank 1 matrix rather than Rank 3. Matrix has 2D motions. BibRef

Quan, L.[Long], Wei, Y.[Yichen], Lu, L.[Le], Shum, H.Y.[Heung-Yeung],
Constrained planar motion analysis by decomposition,
IVC(22), No. 5, 1 May 2004, pp. 379-389.
WWW Version. 0403Image plane permendicular to motion plane. Decompose into two 1D images. BibRef

del Bue, A.[Alessio], Agapito, L.[Lourdes],
Non-Rigid Stereo Factorization,
IJCV(66), No. 2, Feburary 2006, pp. 193-207.
WWW Version. 0604 BibRef

del Bue, A.[Alessio], Smeraldi, F.[Fabrizio], Agapito, L.[Lourdes],
Non-rigid structure from motion using ranklet-based tracking and non-linear optimization,
IVC(25), No. 3, March 2007, pp. 297-310.
WWW Version. 0701 BibRef
Earlier:
Non-Rigid Structure from Motion using non-Parametric Tracking and Non-Linear Optimization,
Non-Rigid04(8).
HTML Version. 0502Non-rigid structure for motion; Rank features; Ranklets; Point tracking Extend non-rigid factorization approaches. BibRef

Del Bue, A.[Alessio], Lladó, X.[Xavier], Agapito, L.[Lourdes],
Segmentation of Rigid Motion from Non-rigid 2D Trajectories,
IbPRIA07(I: 491-498).
WWW Version. 0706 BibRef
Earlier:
Non-Rigid Metric Shape and Motion Recovery from Uncalibrated Images Using Priors,
CVPR06(I: 1191-1198).
WWW Version. 0606 BibRef

Del Bue, A.[Alessio],
Extracting Average Shapes from Occluded Non-rigid Motion,
IbPRIA07(II: 218-225).
WWW Version. 0706 BibRef

Penne, R.[Rudi],
The Characterization of Sufficient Visibility in the Direct Reference Plane Approach for Multiple Views with Missing Data,
IJCV(67), No. 1, April 2006, pp. 5-20.
WWW Version. 0604Analysis of: See also Linear Multi View Reconstruction and Camera Recovery Using a Reference Plane. And how to extend it. BibRef

Hung, Y.S., Tang, W.K.,
Projective Reconstruction from Multiple Views with Minimization of 2D Reprojection Error,
IJCV(66), No. 3, March 2006, pp. 305-317.
WWW Version. 0604 BibRef
Earlier: A2, A1:
A Factorization-Based Method for Projective Reconstruction with Minimization of 2-D Reprojection Errors,
DAGM02(387 ff.).
HTML Version. 0303 BibRef

Li, Y., Tang, W.K., Hung, Y.S.,
A factorization-based projective reconstruction algorithm with circular motion constraint,
ICIP04(III: 1959-1962).
WWW Version. 0505 BibRef

Zhong, H., Hung, Y.S.,
Factorization-based Hierarchical Reconstruction for Circular Motion,
BMVC04(xx-yy).
HTML Version. 0508 BibRef

Tang, A.W.K., Ng, T.P., Hung, Y.S., Leung, C.H.,
Projective reconstruction from line-correspondences in multiple uncalibrated images,
PR(39), No. 5, May 2006, pp. 889-896.
WWW Version. 0604Projective reconstruction; Line reconstruction; Line correspondence BibRef

Tang, W.K., Hung, Y.S.,
A subspace method for projective reconstruction from multiple images with missing data,
IVC(24), No. 5, 1 May 2006, pp. 515-524.
WWW Version. Multiple views; Subspace method; Factorization method; Structure from motion 0606 BibRef

Miyagawa, I., Arakawa, K.,
Motion and Shape Recovery Based on Iterative Stabilization for Modest Deviation from Planar Motion,
PAMI(28), No. 7, July 2006, pp. 1176-1181.
WWW Version. 0606Iteratively applies a factorization method based on planar motion. BibRef

Li, J.[Jian], Chellappa, R.[Rama],
Structure From Planar Motion,
IP(15), No. 11, November 2006, pp. 3466-3477.
WWW Version. 0610 BibRef
Earlier:
A Factorization Method for Structure from Planar Motion,
Motion05(II: 154-159).
WWW Version. 0502 BibRef

Brandt, S.S.[Sami S.], Kolehmainen, V.,
Structure-From-Motion Without Correspondence From Tomographic Projections by Bayesian Inversion Theory,
MedImg(26), No. 2, February 2007, pp. 238-248.
WWW Version. 0702 BibRef
Earlier:
Motion without correspondence from tomographic projections by Bayesian inversion theory,
CVPR04(I: 582-587).
IEEE Abstract. IEEE Top Reference. 0408 BibRef

Brandt, S.S.[Sami S.],
Robust Factorisation with Uncertainty Analysis,
ICPR06(I: 39-42).
WWW Version. 0609 BibRef

Quan, L.[Long], Wang, J.D.[Jing-Dong], Tan, P.[Ping], Yuan, L.[Lu],
Image-Based Modeling by Joint Segmentation,
IJCV(75), No. 1, October 2007, pp. 135-150.
WWW Version. 0709Kanade issue. Trace factorization approaches to the original Kanade, etc. work and analyze. BibRef

Xiao, J.X.[Jian-Xiong], Wang, J.D.[Jing-Dong], Tan, P.[Ping], Quan, L.[Long],
Joint Affinity Propagation for Multiple View Segmentation,
ICCV07(1-7).
WWW Version. 0710 BibRef

Ke, Q.[Qifa], Kanade, T.[Takeo],
Quasiconvex Optimization for Robust Geometric Reconstruction,
PAMI(29), No. 10, October 2007, pp. 1834-1847.
WWW Version. 0710 BibRef
Earlier: ICCV05(II: 986-993).
WWW Version. 0510 BibRef
And:
Uncertainty Models in Quasiconvex Optimization for Geometric Reconstruction,
CVPR06(I: 1199-1205).
WWW Version. 0606 BibRef
Earlier:
Robust L-1 Norm Factorization in the Presence of Outliers and Missing Data by Alternative Convex Programming,
CVPR05(I: 739-746).
WWW Version. 0507 BibRef

Wang, G.H.[Guang-Hui], Tsui, H.T.[Hung-Tat], Wu, Q.M.J.[Q.M. Jonathan],
Rotation constrained power factorization for structure from motion of nonrigid objects,
PRL(29), No. 1, 1 January 2008, pp. 72-80.
WWW Version. 0711Rotation constrained power factorization; Structure from motion; Nonrigid factorization; Singular value decomposition; Sequential factorization BibRef

Yan, J.Y.[Jing-Yu], Pollefeys, M.[Marc],
A Factorization-Based Approach for Articulated Nonrigid Shape, Motion and Kinematic Chain Recovery From Video,
PAMI(30), No. 5, May 2008, pp. 865-877.
WWW Version. 0803 Motion, Human. BibRef
Earlier:
Articulated Motion Segmentation Using RANSAC with Priors,
WDV06(75-85).
WWW Version. 0705 BibRef
And:
A General Framework for Motion Segmentation: Independent, Articulated, Rigid, Non-rigid, Degenerate and Non-degenerate,
ECCV06(IV: 94-106).
WWW Version. 0608 BibRef
Earlier:
A Factorization-Based Approach to Articulated Motion Recovery,
CVPR05(II: 815-821).
WWW Version. 0507 BibRef
And: CVPR05(II: 1203).
WWW Version. 0507 BibRef

Yan, J.Y.[Jing-Yu], Pollefeys, M.[Marc],
Automatic Kinematic Chain Building from Feature Trajectories of Articulated Objects,
CVPR06(I: 712-719).
WWW Version. 0606 BibRef
And:
Recovering Articulated Non-rigid Shapes, Motions and Kinematic Chains from Video,
AMDO06(90-99).
WWW Version. 0607 BibRef

Tardif, J.P.[Jean-Philippe], Bartoli, A.E.[Adrien E.], Trudeau, M.[Martin], Guilbert, N.[Nicolas], Roy, S.[Sebastien],
Algorithms for Batch Matrix Factorization with Application to Structure-from-Motion,
CVPR07(1-8).
WWW Version. 0706 BibRef

Li, T.[Ting], Kallem, V.[Vinutha], Singaraju, D.[Dheeraj], Vidal, R.[Rene],
Projective Factorization of Multiple Rigid-Body Motions,
CVPR07(1-6).
WWW Version. 0706 BibRef

Fakih, A.H.[Adel H.], Zelek, J.[John],
A Factorized Recursive Estimation of Structure and Motion from Image Velocities,
CRV07(355-362).
WWW Version. 0705 BibRef

Lemuz-López, R.[Rafael], Arias-Estrada, M.[Miguel],
Iterative Closest SIFT Formulation for Robust Feature Matching,
ISVC06(II: 502-513).
WWW Version. 0611Shape and motion from multiple feature matches. incremental factorization. BibRef

Lemuz-López, R.[Rafael], Arias-Estrada, M.[Miguel],
A Domain Reduction Algorithm for Incremental Projective Reconstruction,
ISVC06(II: 564-575).
WWW Version. 0611 BibRef

Chikatsu, H., Ohdake, T.,
Ubiquitous digital photogrammetry by consumer grade digital camera,
IEVM06(xx-yy).
PDF Version. 0609 BibRef

Martinsson, H.[Hanna], Gaspard, F.[Francois], Bartoli, A.E.[Adrien E.], Lavest, J.M.[Jean-Marc],
Reconstruction of 3D Curves for Quality Control,
SCIA07(760-769).
WWW Version. 0706 BibRef
Earlier:
Energy-Based Reconstruction of 3D Curves for Quality Control,
EMMCVPR07(414-428).
WWW Version. 0708 BibRef

Martinsson, H.[Hanna], Bartoli, A.E.[Adrien E.], Gaspard, F.[François], Lavest, J.M.[Jean-Marc],
Handling Missing Data in the Computation of 3D Affine Transformations,
EMMCVPR05(90-106).
WWW Version. 0601 BibRef

Tresadern, P., Reid, I.D.,
Articulated Structure from Motion by Factorization,
CVPR05(II: 1110-1115).
WWW Version. 0507 BibRef

Brand, M.[Matthew],
A Direct Method for 3D Factorization of Nonrigid Motion Observed in 2D,
CVPR05(II: 122-128).
WWW Version. 0507 BibRef

Jung, Y.Y.[Yoon-Yong], Hwang, Y.H.[Yong-Ho], Hong, H.K.[Hyun-Ki],
Frame grouping measure for factorization-based projective reconstruction,
ICPR04(IV: 112-115).
WWW Version. 0409 BibRef

Saito, H., Kamijima, S.,
Factorization Method Using Interpolated Feature Tracking via Projective Geometry,
BMVC03(xx-yy).
HTML Version. 0409 BibRef

Urfalioglu, O.,
Robust estimation of camera rotation, translation and focal length at high outlier rates,
CRV04(464-471).
IEEE Abstract. IEEE Top Reference. 0408 BibRef

Langer, M.S., Chapdelaine-Couture, V., Mann, R., Roy, S.,
Motion Parallax without Motion Compensation in 3D Cluttered Scenes,
3DPVT06(65-72).
WWW Version. 0606 See also Spectrum analysis of motion parallax in a 3D cluttered scene and application to egomotion. BibRef

Chapdelaine-Couture, V., Langer, M.S.,
Can Lucas-Kanade be used to estimate motion parallax in 3D cluttered scenes?,
CRV07(63-72).
WWW Version. 0705 BibRef

Navab, N., Genc, Y., Khamene, A., Mitschke, M.,
Direct Method for Motion Estimation: An Alternative to Decomposition of Planar Transformation Matrices,
DAGM02(575 ff.).
HTML Version. 0303 BibRef

Goncalves, B.B., Aguiar, P.M.Q.,
Complete 3-d models from video: a global approach,
ICIP04(IV: 2479-2482).
WWW Version. 0505 BibRef

Guerreiro, R.F.C., Aguiar, P.M.Q.,
3D structure from video streams with partially overlapping images,
ICIP02(III: 897-900).
IEEE Abstract. IEEE Top Reference. 0210 BibRef

Vidal, R., Oliensis, J.,
Structure from Planar Motions with Small Baselines,
ECCV02(II: 383 ff.).
HTML Version. 0205Addresses the factorization problem of small baselines. BibRef

Brand, M.[Matthew],
Morphable 3D Models from Video,
CVPR01(II:456-463).
IEEE Abstract. IEEE Top Reference. 0110Combine non-rigid motion and structure from optical flow to get structure. BibRef

Mahamud, S., Hebert, M., Omori, Y., Ponce, J.,
Provably-Convergent Iterative Methods for Projective Structure from Motion,
CVPR01(I:1018-1025).
IEEE Abstract. IEEE Top Reference.
Postscript Version. 0110Minimization of distance between prediction and image points. Compare to Bundle Adjustment and Strum-Triggs ( See also Factorization Based Algorithm for Multi-Image Projective Structure and Motion, A. ). BibRef

Huynh, D.Q., Heyden, A.,
Outlier Detection in Video Sequences under Affine Projection,
CVPR01(I:695-701).
IEEE Abstract. IEEE Top Reference. 0110Factorization for shape from motion. BibRef

Tan, J., Ishikawa, S.,
Shape Recovery of Non-rigid Objects Employing Factorization-based Stereo Cameras,
ICIP01(II: 145-148).
IEEE Abstract. IEEE Top Reference. 0108 BibRef

Han, M.[Mei],
Linear and Bilinear Subspace Methods for Structure from Motion,
CMU-RI-TR-01-13, February, 2001. BibRef 0102 Ph.D.Thesis.
PDF Version.
Postscript Version. 0205 BibRef

Han, M.[Mei], Kanade, T.[Takeo],
Creating 3D Models with Uncalibrated Cameras,
WACV00(178-185).
IEEE Abstract. IEEE Top Reference. 0010Factorization approach to do Perspective Projection and get focal length (i.e. zoom camera), principal point, and aspect ratio. So, really calibrate the cameras then create the model (but with factorization approach these are all one step). Requires 5 poitsn 4 frames, but works better with more. Requires points to be in all frames, but does handle errors somewhat. Reconstructions depend on matched points. BibRef

Han, M., and Kanade, T.,
Perspective Factorization Methods for Euclidean Reconstruction,
CMU-RI-TR-99-22, August, 1999.
HTML Version. BibRef 9908

Han, M., and Kanade, T.,
The Factorization Method with Linear Motions,
CMU-RI-TR-99-23, October, 1999.
HTML Version. BibRef 9910

Vasiliu, M., Devos, F.,
Real-time 3D Reconstruction on High Resolution Focal Plane Array,
ICIP00(Vol I: 573-576).
IEEE Abstract. IEEE Top Reference. 0008 BibRef

Papadopoulo, T., Lourakis, M.,
Estimating the Jacobian of the Singular Value Decomposition: Theory and Applications,
ECCV00(I: 554-570).
WWW Version. 0003 BibRef

Kurata, T.[Takeshi], Fujiki, J.[Jun], Kourogi, M.[Masakatsu], Sakaue, K.[Katsuhiko],
A Fast and Robust Approach to Recovering Structure and Motion from Live Video Frames,
CVPR00(II: 528-535).
IEEE Abstract. IEEE Top Reference.
WWW Version. 0005 BibRef

Mahamud, S.[Shyjan], Hebert, M.,
Iterative Projective Reconstruction from Multiple Views,
CVPR00(II: 430-437).
IEEE Abstract. IEEE Top Reference.
WWW Version. 0005 BibRef

Hornegger, J., Tomasi, C.,
Representation Issues in the ML Estimation of Camera Motion,
ICCV99(640-647).
WWW Version. BibRef 9900

Ichimura, N.,
Motion Segmentation based on Factorization Method and Discriminant Criterion,
ICCV99(600-605).
WWW Version. BibRef 9900

Kurata, T.[Takeshi], Fujikiy, J.[Jun], Kourogiz, M.[Masakatsu], Sakauey, K.[Katsuhiko],
A Robust Recursive Factorization Method for Recovering Structure and Motion from Live Video Frames,
Frame-Rate99().
HTML Version. BibRef 9900

Li, Y.H.[Yan-Hua], Brooks, M.J.[Michael J.],
An Efficient Recursive Factorization Method for Determining Structure from Motion,
CVPR99(I: 138-143).
IEEE Abstract. IEEE Top Reference.
WWW Version. BibRef 9900

Ng, T.K.[Teck Khim], Kanade, T.,
PALM: portable sensor-augmented vision system for large-scene modeling,
3DIM99(473-482).
WWW Version. 9910 BibRef

Yokoya, N.[Naokazu], Takemura, H.[Haruo], Hwang, K.C.[Kuo-Chang], Yamazawa, K.,
A Factorization Method Using 3-D Linear Combination for Shape and Motion Recovery,
ICPR98(Vol II: 959-963).
WWW Version. 9808 BibRef

Ma, J.B.[Jian-Bo], Ahuja, N.[Narendra],
Dense Shape and Motion from Region Coorespondences by Factorization,
CVPR98(219-224).
IEEE Abstract. IEEE Top Reference. BibRef 9800

Morris, D.[Daniel], and Kanade, T.[Takeo],
A Unified Factorization Algorithm for Points, Line Segments and Planes with Uncertainty Models,
ICCV98(696-702).
WWW Version. BibRef 9800

Ueshiba, T., Tomita, F.,
A Factorization Method for Projective and Euclidean Reconstruction from Multiple Perspective Views via Iterative Depth Estimation,
ECCV98(I: 296).
WWW Version. BibRef 9800

Held, A.,
Piecewise Shape Reconstruction by Incremental Factorization,
BMVC96(Motion-Based Reconstruction). 9608Real World Computing Partnership, Japan BibRef

Yu, H., Chen, Q.[Qian], Xu, G., Yachida, M.,
3D Shape and Motion by SVD under Higher-Order Approximation of Perspective Projection,
ICPR96(I: 456-460).
WWW Version. 9608(Osaka Univ., J) BibRef

Triggs, B.[Bill],
Factorization Methods for Projective Structure and Motion,
CVPR96(845-851).
IEEE Abstract. IEEE Top Reference.
WWW Version. BibRef 9600

Sturm, P.F., Triggs, B.,
A Factorization Based Algorithm for Multi-Image Projective Structure and Motion,
ECCV96(II:709-720).
WWW Version. BibRef 9600

Boult, T.E., and Brown, L.G.,
Motion Segmentation Using Singular Value Decomposition,
DARPA92(495-506). BibRef 9200
Earlier:
Factorization-Based Segmentation of Motions,
Motion91(179-186). Building on the work of Tomasi at CMU, find multiple motions in the image. BibRef

Chapter on Motion Analysis --Low-Level, Image Level Analysis, Mosaic Generation, Super Resolution, Shape from Motion continues in
Factorization, General Issues .