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.
WWW Version.
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).
IEEE DOI may work or IEEE-CS DOI may work. 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).
IEEE DOI may work or IEEE-CS DOI may work.
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).
IEEE DOI may work or IEEE-CS DOI may work.
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
Marques, M.[Manuel],
Costeira, J.P.[Joao P.],
Optimal shape from motion estimation with missing and degenerate data,
Motion08(1-6).
IEEE DOI may work or IEEE-CS DOI may work.
0801
BibRef
da Silva, N.P.[Nuno Pinho],
Costeira, J.P.[Joao Paulo],
Subspace segmentation with outliers:
A grassmannian approach to the maximum consensus subspace,
CVPR08(1-6).
IEEE DOI may work or IEEE-CS DOI may work.
0806
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: A2, A1:
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).
IEEE DOI may work or IEEE-CS DOI may work.
9510
BibRef
Earlier:
Recursive estimation of camera motion from uncalibrated image sequences,
ICIP94(III: 58-62).
IEEE DOI may work or IEEE-CS DOI may work.
9411
BibRef
And:
Dynamic visual motion estimation from subspace constraints,
ICIP94(I: 333-337).
IEEE DOI may work or IEEE-CS DOI may work.
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).
IEEE DOI may work or IEEE-CS DOI may work.
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).
IEEE DOI may work or IEEE-CS DOI may work.
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).
IEEE DOI may work or IEEE-CS DOI may work.
0106
BibRef
Kahl, F.[Fredrik],
Critical Motions and Ambiguous Euclidean Reconstructions in
Auto-Calibration,
ICCV99(469-475).
IEEE DOI may work or IEEE-CS DOI may work.
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).
IEEE DOI may work or IEEE-CS DOI may work.
0106
BibRef
Heyden, A.[Anders],
Kahl, F.[Fredrik],
Direct Affine Reconstruction,
ICPR00(Vol I: 885-888).
IEEE DOI may work or IEEE-CS DOI may work.
HTML Version.
0009
BibRef
Earlier:
Reconstruction from Affine Cameras Using Closure Constraints,
ICPR98(Vol I: 47-50).
IEEE DOI may work or IEEE-CS DOI may work.
9808
BibRef
Heyden, A.[Anders],
Kahl, F.[Fredrik],
Robust Self-Calibration and Euclidean Reconstruction
via Affine Approximation,
ICPR98(Vol I: 56-58).
IEEE DOI may work or IEEE-CS DOI may work.
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).
IEEE DOI may work or IEEE-CS DOI may work.
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).
IEEE DOI may work or IEEE-CS DOI may work.
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).
IEEE DOI may work or IEEE-CS DOI may work. 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.
IEEE DOI may work or IEEE-CS DOI may work.
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).
IEEE DOI may work or IEEE-CS DOI may work.
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).
IEEE DOI may work or IEEE-CS DOI may work.
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).
IEEE DOI may work or IEEE-CS DOI may work.
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).
IEEE DOI may work or IEEE-CS DOI may work.
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.
IEEE DOI may work or IEEE-CS DOI may work.
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.
IEEE DOI may work or IEEE-CS DOI may work.
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.
IEEE DOI may work or IEEE-CS DOI may work.
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).
IEEE DOI may work or IEEE-CS DOI may work.
0710
BibRef
Ke, Q.[Qifa],
Kanade, T.[Takeo],
Quasiconvex Optimization for Robust Geometric Reconstruction,
PAMI(29), No. 10, October 2007, pp. 1834-1847.
IEEE DOI may work or IEEE-CS DOI may work.
0710
BibRef
Earlier:
ICCV05(II: 986-993).
IEEE DOI may work or IEEE-CS DOI may work.
0510
BibRef
And:
Uncertainty Models in Quasiconvex Optimization for Geometric
Reconstruction,
CVPR06(I: 1199-1205).
IEEE DOI may work or IEEE-CS DOI may work.
0606
BibRef
Earlier:
Robust L-1 Norm Factorization in the Presence of Outliers and
Missing Data by Alternative Convex Programming,
CVPR05(I: 739-746).
IEEE DOI may work or IEEE-CS DOI may work.
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.
IEEE DOI may work or IEEE-CS DOI may work.
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).
IEEE DOI may work or IEEE-CS DOI may work.
0507
BibRef
And:
CVPR05(II: 1203).
IEEE DOI may work or IEEE-CS DOI may work.
0507
BibRef
Yan, J.Y.[Jing-Yu],
Pollefeys, M.[Marc],
Automatic Kinematic Chain Building from Feature Trajectories of
Articulated Objects,
CVPR06(I: 712-719).
IEEE DOI may work or IEEE-CS DOI may work.
0606
BibRef
And:
Recovering Articulated Non-rigid Shapes, Motions and Kinematic Chains
from Video,
AMDO06(90-99).
WWW Version.
0607
BibRef
Liu, S.G.[Shi-Gang],
Wu, C.K.[Cheng-Ke],
Tang, L.[Li],
Jia, J.[Jing],
An Iterative Factorization Method Based on Rank 1 for Projective
Structure and Motion,
IEICE(E88-D), No. 9, September 2005, pp. 2183-2188.
WWW Version.
0509
BibRef
Wang, G.H.[Guang-Hui],
Wu, Q.M.J.[Q. M. Jonathan],
Sun, G.Q.A.[Guo-Qi-Ang],
Quasi-perspective projection with applications to 3D factorization from
uncalibrated image sequences,
CVPR08(1-8).
IEEE DOI may work or IEEE-CS DOI may work.
0806
BibRef
del Bue, A.[Alessio],
A factorization approach to structure from motion with shape priors,
CVPR08(1-8).
IEEE DOI may work or IEEE-CS DOI may work.
0806
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).
IEEE DOI may work or IEEE-CS DOI may work.
0706
BibRef
Li, T.[Ting],
Kallem, V.[Vinutha],
Singaraju, D.[Dheeraj],
Vidal, R.[Rene],
Projective Factorization of Multiple Rigid-Body Motions,
CVPR07(1-6).
IEEE DOI may work or IEEE-CS DOI may work.
0706
BibRef
Fakih, A.H.[Adel H.],
Zelek, J.[John],
A Factorized Recursive Estimation of Structure and Motion from Image
Velocities,
CRV07(355-362).
IEEE DOI may work or IEEE-CS DOI may work.
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
Bartoli, A.E.,
Gay-Bellile, V.,
Castellani, U.,
Peyras, J.,
Olsen, S.,
Sayd, P.,
Coarse-to-fine low-rank structure-from-motion,
CVPR08(1-8).
IEEE DOI may work or IEEE-CS DOI may work.
0806
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).
IEEE DOI may work or IEEE-CS DOI may work.
0507
BibRef
Brand, M.[Matthew],
A Direct Method for 3D Factorization of Nonrigid Motion Observed in 2D,
CVPR05(II: 122-128).
IEEE DOI may work or IEEE-CS DOI may work.
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).
IEEE DOI may work or IEEE-CS DOI may work.
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).
IEEE DOI may work or IEEE-CS DOI may work.
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).
IEEE DOI may work or IEEE-CS DOI may work.
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).
IEEE DOI may work or IEEE-CS DOI may work.
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.
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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.I.A.,
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).
IEEE DOI may work or IEEE-CS DOI may work.
BibRef
9900
Ichimura, N.,
Motion Segmentation based on Factorization Method and Discriminant
Criterion,
ICCV99(600-605).
IEEE DOI may work or IEEE-CS DOI may work.
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).
IEEE DOI may work or IEEE-CS DOI may work.
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).
IEEE DOI may work or IEEE-CS DOI may work.
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.D.[Daniel D.], and
Kanade, T.[Takeo],
A Unified Factorization Algorithm for Points, Line Segments and
Planes with Uncertainty Models,
ICCV98(696-702).
IEEE DOI may work or IEEE-CS DOI may work.
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).
IEEE DOI may work or IEEE-CS DOI may work.
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 .