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
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
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
BibRef
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
BibRef
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
BibRef
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
BibRef
Wang, L.,
Wu, F.C.,
A factorization algorithm for trifocal tensor estimation,
ICPR08(1-4).
IEEE DOI Link
0812
BibRef
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
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 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 .