18.9.3 Factorization Approach to Motion and Structure

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.
Springer DOI Link 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. 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

Birchfield, S.T.[Stan T.],
KLT: An Implementation of the Kanade-Lucas-Tomasi Feature Tracker,
Online1997. Code, Tracking.
WWW Version. See also GPU_KLT: A GPU-based Implementation of the Kanade-Lucas-Tomasi Feature Tracker. BibRef 9700

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 DOI Link BibRef 9505
Earlier: ICCV93(675-682).
IEEE DOI Link 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 Link 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 DOI Link 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 DOI Link 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 Link
IEEE DOI Link 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.],
Estimating 3D shape from degenerate sequences with missing data,
CVIU(113), No. 2, February 2009, pp. 261-272.
Elsevier DOI Link
WWW Version. 0901
BibRef
Earlier:
Optimal shape from motion estimation with missing and degenerate data,
Motion08(1-6).
IEEE DOI Link 0801
3D reconstruction; Structure from motion; Missing data BibRef

Marques, M.[Manuel], Costeira, J.P.[Joao P.],
3D face recognition from multiple images: A shape-from-motion approach,
FG08(1-6).
IEEE DOI Link 0809
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 Link 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 DOI Link 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 DOI Link 9704
BibRef
Earlier:
A Paraperspective Factorization for Shape and Motion Recovery,
ECCV94(B:97-108).
Springer DOI Link 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., Lee, H., and Huang, T.S.,
Finding 3D Point Correspondences in Motion Estimation,
ICPR86(303-305). BibRef 8600

Blostein, S.D., and Huang, T.S.,
Algorithms for Motion Estimation Based on Three-Dimensional Correspondences,
MU88(329-352). Motion given depths in a straightforward technique (really just generating the transformation that maps the points). BibRef 8800

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 DOI Link 9612
BibRef
And: TRRR-2421, INRIA, December 1994.
Postscript Version. BibRef
Earlier:
Euclidean Reconstruction: From Paraperspective to Perspective,
ECCV96(II:129-140).
Springer DOI Link Motion, Multiple Frames. Incrementally coverge to the solution. Shape and motion from a sequence of images. Calibrated camera. BibRef

Zaharescu, A.[Andrei], Horaud, R.[Radu],
Robust Factorization Methods Using a Gaussian/Uniform Mixture Model,
IJCV(81), No. 3, March 2009, pp. xx-yy.
Springer DOI Link 0902
Factorization for both affine and perspective cameras. BibRef

Zaharescu, A.[Andrei], Horaud, R.[Radu], Ronfard, R.[Remi], Lefort, L.[Loic],
Multiple Camera Calibration Using Robust Perspective Factorization,
3DPVT06(504-511).
IEEE DOI Link 0606
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 Link 9510
BibRef
Earlier:
Recursive estimation of camera motion from uncalibrated image sequences,
ICIP94(III: 58-62).
IEEE DOI Link 9411
BibRef
And:
Dynamic visual motion estimation from subspace constraints,
ICIP94(I: 333-337).
IEEE DOI Link 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 Link 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 DOI Link 9704
Subspace methods. BibRef

Huynh, D.Q., Heyden, A.,
Recursive structure and motion estimation from noisy uncalibrated video sequences,
ICPR08(1-5).
IEEE DOI Link 0812
BibRef

Huynh, D.Q., Hartley, R.I., Heyden, A.,
Outlier correction in image sequences for the affine camera,
ICCV03(585-590).
IEEE DOI Link 0311
For 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 Link 0106
BibRef

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

Kahl, F.[Fredrik], Triggs, B.[Bill],
Critical Motions in Euclidean Structure from Motion,
CVPR99(II: 366-372).
IEEE Abstract.
IEEE DOI Link 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 Link 0106
BibRef

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

Heyden, A.[Anders], Kahl, F.[Fredrik],
Robust Self-Calibration and Euclidean Reconstruction via Affine Approximation,
ICPR98(Vol I: 56-58).
IEEE DOI Link 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. 0110
configuration 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.
Springer DOI Link 0605
BibRef
Earlier:
Affine structure from translational motion with varying and unknown focal length,
ICPR04(I: 120-123).
IEEE DOI Link 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 Link 0508
BibRef

Heyden, A.[Anders], Dahl, O.[Ola],
Provably convergent on-line structure and motion estimation for perspective systems,
WDV09(751-758).
IEEE DOI Link 0910
Reformulate 3D feature point estimation as a constant, with time-varying 3D position. 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).
Springer DOI Link 0705
BibRef

Dahl, O.[Ola], Heyden, A.[Anders],
Dynamic structure from motion based on nonlinear adaptive observers,
ICPR08(1-4).
IEEE DOI Link 0812
BibRef

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

Nyberg, F.[Fredrik], Heyden, A.[Anders],
Recursive Structure from Motion Using Hybrid Matching Constraints with Error Feedback,
WDV06(285-298).
Springer DOI Link 0705
For 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 DOI Link 9803
BibRef
Earlier:
Motion and Structure Factorization and Segmentation of Long Multiple Motion Image Sequences,
ECCV92(217-221).
Springer DOI Link 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 Link 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)
HTML Version. 9705
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 Link 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 DOI Link 0204
POCS (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 Link 0106
Handheld 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 Link 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. 0309
BibRef
Earlier:
Factorization as a Rank 1 Problem,
CVPR99(I: 178-184).
IEEE Abstract.
IEEE DOI Link 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. 0403
Image 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.
Springer DOI Link 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. 0502
Non-rigid structure for motion; Rank features; Ranklets; Point tracking Extend non-rigid factorization approaches. BibRef

Smeraldi, F.[Fabrizio],
Fast algorithms for the computation of Ranklets,
ICIP09(3969-3972).
IEEE DOI Link 0911
BibRef

Lladó, X.[Xavier], del Bue, A.[Alessio], Agapito, L.[Lourdes],
Non-rigid metric reconstruction from perspective cameras,
IVC(28), No. 9, September 2010, pp. 1339-1353.
Elsevier DOI Link
WWW Version. 1007
BibRef
Earlier: A2, A1, A3:
Segmentation of Rigid Motion from Non-rigid 2D Trajectories,
IbPRIA07(I: 491-498).
Springer DOI Link 0706
BibRef
Earlier: A2, A1, A3:
Non-Rigid Metric Shape and Motion Recovery from Uncalibrated Images Using Priors,
CVPR06(I: 1191-1198).
IEEE DOI Link 0606
Non-rigid structure from motion; Motion segmentation; Self-calibration; Non-linear optimization; Deformable model BibRef

Fayad, J.[João], Agapito, L.[Lourdes], del Bue, A.[Alessio],
Piecewise Quadratic Reconstruction of Non-Rigid Surfaces from Monocular Sequences,
ECCV10(IV: 297-310).
Springer DOI Link 1009
BibRef

Fayad, J.[Joao], del Bue, A.[Alessio], Agapito, L.[Lourdes], Aguiar, P.[Pedro],
Non-rigid structure from motion using quadratic deformation models,
BMVC09(xx-yy).
PDF Version. 0909
BibRef

Fayad, J.[Joao], Russell, C.[Chris], Agapito, L.[Lourdes],
Automated articulated structure and 3D shape recovery from point correspondences,
ICCV11(431-438).
IEEE DOI Link 1201
BibRef
Earlier: A2, A1, A3:
Energy based multiple model fitting for non-rigid structure from motion,
CVPR11(3009-3016).
IEEE DOI Link 1106
BibRef

del Bue, A.[Alessio],
Adaptive Metric Registration of 3D Models to Non-rigid Image Trajectories,
ECCV10(III: 87-100).
Springer DOI Link 1009
BibRef

Llado, X.[Xavier], del Bue, A.[Alessio], Oliver, A.[Arnau], Salvi, J.[Joaquim], Agapito, L.[Lourdes],
Reconstruction of non-rigid 3D shapes from stereo-motion,
PRL(32), No. 7, 1 May 2011, pp. 1020-1028.
Elsevier DOI Link
WWW Version. 1101
Structure from motion; Stereo-motion; Non-rigid structure BibRef

del Bue, A.[Alessio],
Extracting Average Shapes from Occluded Non-rigid Motion,
IbPRIA07(II: 218-225).
Springer DOI Link 0706
BibRef

del Bue, A.[Alessio],
A factorization approach to structure from motion with shape priors,
CVPR08(1-8).
IEEE DOI Link 0806
BibRef

Paladini, M.[Marco], Bartoli, A.[Adrien], Agapito, L.[Lourdes],
Sequential Non-Rigid Structure-from-Motion with the 3D-Implicit Low-Rank Shape Model,
ECCV10(II: 15-28).
Springer DOI Link 1009
BibRef

del Bue, A.[Alessio], Xavier, J.[João], Agapito, L.[Lourdes], Paladini, M.[Marco],
Bilinear Factorization via Augmented Lagrange Multipliers,
ECCV10(IV: 283-296).
Springer DOI Link 1009
BibRef

Paladini, M.[Marco], del Bue, A.[Alessio], Xavier, J.[João], Agapito, L.[Lourdes], Stošic, M.[Marko], Dodig, M.[Marija],
Optimal Metric Projections for Deformable and Articulated Structure-from-Motion,
IJCV(96), No. 2, February 2012, pp. 252-276.
WWW Version. 1201
BibRef
Earlier: A1, A2, A5, A6, A3, A4:
Factorization for non-rigid and articulated structure using metric projections,
CVPR09(2898-2905).
IEEE DOI Link 0906
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.
Springer DOI Link 0604
Analysis of: See also Linear Multi View Reconstruction and Camera Recovery Using a Reference Plane. And how to extend it. 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 Link 0606
Iteratively 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 Link 0610
BibRef
Earlier:
A Factorization Method for Structure from Planar Motion,
Motion05(II: 154-159).
IEEE DOI Link 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 Link 0702
BibRef
Earlier:
Motion without correspondence from tomographic projections by Bayesian inversion theory,
CVPR04(I: 582-587).
IEEE Abstract. 0408
BibRef

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

Brandt, S.S.[Sami S.], Koskenkorva, P.[Pekka], Kannala, J.H.[Ju-Ho], Heyden, A.[Anders],
Uncalibrated non-rigid factorisation with automatic shape basis selection,
NORDIA09(352-359).
IEEE DOI Link 0910
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.
Springer DOI Link 0709
Kanade issue. Trace factorization approaches to the original Kanade, etc. work and analyze. BibRef

Xiao, J.X.[Jian-Xiong], Quan, L.[Long],
Multiple view semantic segmentation for street view images,
ICCV09(686-693).
IEEE DOI Link 0909
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 Link 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 Link 0710
BibRef
Earlier: ICCV05(II: 986-993).
IEEE DOI Link 0510
BibRef
And:
Uncertainty Models in Quasiconvex Optimization for Geometric Reconstruction,
CVPR06(I: 1199-1205).
IEEE DOI Link 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 Link 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. 0711
Rotation 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 Link 0803
Motion, Human. BibRef
Earlier:
Articulated Motion Segmentation Using RANSAC with Priors,
WDV06(75-85).
Springer DOI Link 0705
BibRef
And:
A General Framework for Motion Segmentation: Independent, Articulated, Rigid, Non-rigid, Degenerate and Non-degenerate,
ECCV06(IV: 94-106).
Springer DOI Link 0608
BibRef
Earlier:
A Factorization-Based Approach to Articulated Motion Recovery,
CVPR05(II: 815-821).
IEEE DOI Link 0507
BibRef
And: CVPR05(II: 1203).
IEEE DOI Link 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 Link 0606
BibRef
And:
Recovering Articulated Non-rigid Shapes, Motions and Kinematic Chains from Video,
AMDO06(90-99).
Springer DOI Link 0607
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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
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Hu, Y.Q.[Yi-Qun], Rajan, D.[Deepu], Chia, L.T.[Liang-Tien],
Attention-from-motion: A factorization approach for detecting attention objects in motion,
CVIU(113), No. 3, March 2009, pp. 319-331.
Elsevier DOI Link
WWW Version. 0902
Motion Segmentation. Visual attention; BibRef

Julià, C.[Carme], Sappa, A.D.[Angel D.], Lumbreras, F.[Felipe], Serrat, J.[Joan], López, A.[Antonio],
An iterative multiresolution scheme for SFM with missing data: Single and multiple object scenes,
IVC(28), No. 1, Januray 2010, pp. 164-176.
Elsevier DOI Link
WWW Version. 1001
Structure from Motion; Factorization techniques BibRef

Julià, C.[Carme], Sappa, A.D.[Angel D.], Lumbreras, F.[Felipe], Serrat, J.[Joan], López, A.M.[Antonio M.],
An Iterative Multiresolution Scheme for SFM with Missing Data,
JMIV(34), No. 3, July 2009, pp. xx-yy.
Springer DOI Link 0906
BibRef
Earlier:
Motion Segmentation from Feature Trajectories with Missing Data,
IbPRIA07(I: 483-490).
Springer DOI Link 0706
BibRef
Earlier:
An Iterative Multiresolution Scheme for SFM,
ICIAR06(I: 804-815).
Springer DOI Link 0610
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Julià, C.[Carme], Sappa, A.D.[Angel D.], Lumbreras, F.[Felipe], Serrat, J.[Joan], López, A.[Antonio],
Rank Estimation in Missing Data Matrix Problems,
JMIV(39), No. 2, February 2011, pp. 140-160.
WWW Version. 1103
BibRef

Wang, G.H.[Guang-Hui], Wu, Q.M.J.[Q.M. Jonathan],
Guide to Three Dimensional Structure and Motion Factorization,
Springer2011, ISBN: 978-0-85729-045-8
WWW Version. Survey, Factorization. Survey, Structure from Motion. To purchase this book look here 1010
BibRef

Civera, J.[Javier], Davison, A.J.[Andrew J.], Martínez Montiel, J.M.[José María],
Structure from Motion using the Extended Kalman Filter,
SpringerNew-York, 2012. ISBN: 978-3-642-24833-7.
WWW Version. To purchase this book look here 1111
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Bernet, S.[Sacha], Sturm, P.F.[Peter F.], Cudel, C.[Christophe], Basset, M.[Michel],
Study on the interest of hybrid fundamental matrix for head mounted eye tracker modeling,
BMVC11(xx-yy).
HTML Version. 1110
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Dai, Y.[Yuchao], Li, H.D.[Hong-Dong], He, M.Y.[Ming-Yi],
Element-Wise Factorization for N-View Projective Reconstruction,
ECCV10(IV: 396-409).
Springer DOI Link 1009
BibRef

Li, P.[Ping], Gunnewiek, R.K.[Rene Klein], de With, P.[Peter],
Detecting Critical Configurations for Dividing Long Image Sequences for Factorization-Based 3-D Scene Reconstruction,
ACCV09(II: 381-394).
Springer DOI Link 0909
BibRef

Cheriyadat, A.M.[Anil M.], Radke, R.J.[Richard J.],
Non-negative matrix factorization of partial track data for motion segmentation,
ICCV09(865-872).
IEEE DOI Link 0909
BibRef

Angst, R.[Roland], Zach, C.[Christopher], Pollefeys, M.[Marc],
The generalized trace-norm and its application to structure-from-motion problems,
ICCV11(2502-2509).
IEEE DOI Link 1201
trace-norm for SfM. BibRef

Angst, R.[Roland], Pollefeys, M.[Marc],
5D Motion Subspaces for Planar Motions,
ECCV10(III: 144-157).
Springer DOI Link 1009
BibRef
Earlier:
Static multi-camera factorization using rigid motion,
ICCV09(1203-1210).
IEEE DOI Link 0909
BibRef

Shaji, A.[Appu], Chandran, S.[Sharat], Suter, D.[David],
Manifold optimisation for motion factorisation,
ICPR08(1-4).
IEEE DOI Link 0812
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Wang, L., Wu, F.C.,
A factorization algorithm for trifocal tensor estimation,
ICPR08(1-4).
IEEE DOI Link 0812
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Matikainen, P.K., Sukthankar, R., Hebert, M., Ke, Y.,
Fast Motion Consistency through Matrix Quantization,
BMVC08(xx-yy).
PDF Version. 0809
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 Link 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 Link 0706
BibRef

Wang, G.H.[Guang-Hui], Zelek, J.S.[John S.], Wu, Q.M.J.[Q.M. Jonathan],
Spatial-and-Temporal-Weighted Structure from Motion,
CRV11(324-331).
IEEE DOI Link 1105
See also Single view based pose estimation from circle or parallel lines. BibRef

Fakih, A.H.[Adel H.], Zelek, J.S.[John S.],
On the Benefits of Using Gyroscope Measurements with Structure from Motion,
M2SFA208(xx-yy). 0810
BibRef

Fakih, A.H.[Adel H.], Zelek, J.[John],
Extending Filter-based Structure from Motion to Large Baselines,
CRV11(332-339).
IEEE DOI Link 1105
BibRef
Earlier:
Efficient Augmentation of the EKF Structure from Motion with Frame-to-Frame Features,
CRV10(47-54).
IEEE DOI Link 1005
BibRef
Earlier:
Scalable Near-Optimal Recursive Structure from Motion,
CRV09(23-30).
IEEE DOI Link 0905
BibRef
Earlier:
Structure from Motion: Combining features correspondences and optical flow,
ICPR08(1-4).
IEEE DOI Link 0812
BibRef
Earlier:
A Factorized Recursive Estimation of Structure and Motion from Image Velocities,
CRV07(355-362).
IEEE DOI Link 0705
BibRef

Lemuz-López, R.[Rafael], Arias-Estrada, M.[Miguel],
Iterative Closest SIFT Formulation for Robust Feature Matching,
ISVC06(II: 502-513).
Springer DOI Link 0611
Shape 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).
Springer DOI Link 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 Link 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).
Springer DOI Link 0706
BibRef
Earlier:
Energy-Based Reconstruction of 3D Curves for Quality Control,
EMMCVPR07(414-428).
Springer DOI Link 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).
Springer DOI Link 0601
BibRef

Tresadern, P.A., Reid, I.D.,
Articulated Structure from Motion by Factorization,
CVPR05(II: 1110-1115).
IEEE DOI Link 0507
BibRef

Brand, M.[Matthew],
A Direct Method for 3D Factorization of Nonrigid Motion Observed in 2D,
CVPR05(II: 122-128).
IEEE DOI Link 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 Link 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. 0408
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Langer, M.S., Chapdelaine-Couture, V., Mann, R., Roy, S.,
Motion Parallax without Motion Compensation in 3D Cluttered Scenes,
3DPVT06(65-72).
IEEE DOI Link 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 Link 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 Link 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. 0210
BibRef

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

Brand, M.[Matthew],
Morphable 3D Models from Video,
CVPR01(II:456-463).
IEEE Abstract. 0110
Award, CVPR. Combine 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.
Postscript Version. 0110
Minimization 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. 0110
Factorization for shape from motion. 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. 0010
Factorization 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. 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 DOI Link 0005
BibRef

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

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

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

Ng, T.K.[Teck Khim], Kanade, T.,
PALM: portable sensor-augmented vision system for large-scene modeling,
3DIM99(473-482).
IEEE DOI Link 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 Link 9808
BibRef

Ma, J.B.[Jian-Bo], Ahuja, N.[Narendra],
Dense Shape and Motion from Region Correspondences by Factorization,
CVPR98(219-224).
IEEE Abstract. 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 Link 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). 9608
Real 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 Link 9608
(Osaka Univ., J) BibRef

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

Sturm, P.F., Triggs, B.,
A Factorization Based Algorithm for Multi-Image Projective Structure and Motion,
ECCV96(II:709-720).
Springer DOI Link 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
Matrix Factorization, General Issues .