Weng, J.,
Ahuja, N., and
Huang, T.S.,
Optimal Motion and Structure Estimation,
PAMI(15), No. 9, September 1993, pp. 864-884.
IEEE Abstract. IEEE Top Reference.
WWW Version.
BibRef
9309
Earlier:
CVPR89(144-152).
IEEE Abstract. IEEE Top Reference. Analysis of a number of factors in motion estimation comparing
image error, epipolar error, linear algorithms, sequential, batch, IEKF, etc.
See also 3-D Motion Estimation, Understanding, and Prediction from Noisy Image Sequences.
BibRef
Weng, J.Y.[Ju-Yang],
Huang, T.S., and
Ahuja, N.[Narendra],
Motion and Structure from Two Perspective Views:
Algorithms, Error Analysis, and Error Estimation,
PAMI(11), No. 5, May 1989, pp. 451-476.
IEEE Abstract. IEEE Top Reference.
WWW Version.
BibRef
8905
Earlier:
Motion from Images: Image Matching Parameter
Estimation and Intrinsic Stability,
Motion89(359-366).
BibRef
And: (Possibly different author order):
Motion and Structure from Point Correspondences:
A Robust Algorithm for Planar Case with Error Estimation,
ICPR88(I: 247-251).
WWW Version.
IEEE Top Reference.
BibRef
And:
Error Analysis of Motion Parameter Estimation from Image Sequences,
ICCV87(703-707).
Motion, Estimation evaluation. An interesting error analysis that indicates that the special case
of motion toward (from) the observer is ideal. This depends the
least on the Z component of the motion which is the worst (for
direction of the motion).
For matching:
See also Matching Two Perspective Views.
BibRef
Hu, X.P.,
Ahuja, N.,
Mirror Uncertainty and Uniqueness Conditions for
Determining Shape and Motion from Orthographic Projection,
IJCV(13), No. 3, December 1994, pp. 295-309.
BibRef
9412
Hu, X.P.[Xiao-Ping],
Ahuja, N.[Narendra],
Sufficient Conditions for Double or Unique Solution of
Motion and Structure,
CVGIP(58), No. 2, September 1993, pp. 161-176.
WWW Version.
BibRef
9309
Earlier:
Necessary and sufficient conditions for a unique solution of plane
motion and structure,
CAIP93(436-443).
WWW Version.
9309
BibRef
Kanatani, K.I.,
Unbiased Estimation and Statistical Analysis of 3-D Rigid Motion
from Two Views,
PAMI(15), No. 1, January 1993, pp. 37-50.
IEEE Abstract. IEEE Top Reference.
WWW Version. Least-squares solution based on epipolar constraint is biased.
BibRef
9301
Sohn, W.,
Kehtarnavaz, N.D.,
Analysis of Camera Movement Errors in Vision-Based Vehicle Tracking,
PAMI(17), No. 1, January 1995, pp. 57-61.
IEEE Abstract. IEEE Top Reference.
WWW Version.
BibRef
9501
And: Erratum:
PAMI(17), No. 2, February 1995, pp. 224-224.
IEEE Top Reference. Analyze the errors from platform movement -- how they
affect egomotion computations.
BibRef
Kehtarnavaz, N.D.,
Sohn, W.,
Error Analysis Of Camera Movements In Stereo Vehicle Tracking-Systems,
CVIU(62), No. 3, November 1995, pp. 347-359.
WWW Version.
BibRef
9511
Earlier:
Analysis of camera movements in stereo vision-based vehicle tracking,
ICIP94(II: 710-714).
WWW Version.
9411(Texas A&M)
BibRef
Lin, Y.C.,
Tsai, Y.P.,
Hung, Y.P.,
Shih, Z.C.,
Comparison Between Immersion-Based and Toboggan-Based Watershed Image
Segmentation,
IP(15), No. 3, March 2006, pp. 632-640.
WWW Version.
0604
BibRef
Tsai, C.J.,
Hung, Y.P., and
Hsu, S.C.,
Comparison between Asymptotic Bayesian Approach and Kalman Filter-Based
Technique for 3D Reconstruction Using an Image Sequence,
CVPR93(206-211).
IEEE Abstract. IEEE Top Reference. Small motions to get surfaces based on highly textured surfaces
(image mapped on a cube or cylinder).
BibRef
9300
Daniilidis, K., and
Nagel, H.H.,
Analytic Results on Error Sensitivity of Motion Estimation
from Two Views,
IVC(8), No. 4, November 1990, pp. 297-303.
Postscript Version.
BibRef
9011
Earlier:
ECCV90(199-208).
WWW Version.
BibRef
Daniilidis, K.[Kostas], and
Spetsakis, M.E.[Minas E.],
Understanding Noise Sensitivity in Structure from Motion,
VisNav93(xx-yy).
BibRef
9300
Aloimonos, Y., and
Brown, C.M.,
Perception of Structure from Motion: I: Optic Flow vs.
Discrete Displacements; II: Lower Bound Results,
CVPR86(510-517).
Motion, Structure Evaluation. The optic flow field contains much less information than the
discrete displacements field. I.e. large motions beat small motions.
BibRef
8600
Weldon, Jr., E.J., and
Liu, H.,
How Accurately Can Direct Motion Vision Determine Depth,
CVPR91(613-618).
IEEE Abstract. IEEE Top Reference. Using "apparent size" it is about 3%.
BibRef
9100
Dutta, R., and
Snyder, M.A.,
Robustness of Structure from Binocular Known Motion,
Motion91(81-86).
Structure from known motion, analysis of limits on results. Two
frames, 40' away, move 4' a 10% error. Motion should be about 6
times a comparable stereo baseline.
BibRef
9100
Dutta, R., and
Snyder, M.A.,
Robustness of Correspondence-Based Structure from Motion,
ICCV90(106-110).
WWW Version.
BibRef
9000
And:
DARPA90(299-313).
Analysis of rotational motions. Seems to agree with the expected
results.
BibRef
Bharwani, S.[Seraj],
Riseman, E.M., and
Hanson, A.R.,
Refinement of Environmental Depth Maps over Multiple Frames,
Motion86(73-80).
BibRef
8600
And:
DARPA85(413-420).
Motion, Structure Evaluation. Multiple frames are used to eliminate ambiguities. Errors are
inherent in computing depth from motion, with more estimates,
maybe the results are better.
BibRef
Thomas, J.I.,
Hanson, A.R., and
Oliensis, J.,
Understanding Noise: The Critical Role of Motion Error in Scene
Reconstruction,
ICCV93(325-329).
WWW Version.
BibRef
9300
And:
DARPA93(691-695).
BibRef
And:
The Terms of Error Convariance Matrices and Their Effect on MFSFM,
UMassCS-TR-93-12, February 1993.
BibRef
Thomas, J.I.,
Hanson, A.R.,
Applying Multiframe Reconstruction to Pose Estimation,
UMassCS-TR-93-11, February 1993.
BibRef
9302
Maybank, S.J.,
Theory of Reconstruction from Image Motion,
Springer-VerlagBerlin, 1992.
BibRef
9200
Maybank, S.J.,
Ambiguity in Reconstruction from Image Correspondences,
IVC(9), No. 2, April 1991, pp. 93-99.
WWW Version.
BibRef
9104
Earlier:
ECCV90(175-186).
WWW Version. Not much new.
BibRef
Matthies, L.H., and
Shafer, S.A.,
Error Modelling in Stereo Navigation,
RA(3), No. 3, 1987, pp. 239-248.
BibRef
8700
Earlier:
CMU-CS-TR-86-140, CMU CS Dept., 1986.
The assumption is that motion is in a plane and the 2-D motion can
be approximated with some errors. This is similar to the UMass
error papers and does not seem to say a lot, except that
it is possible.
BibRef
Chaudhuri, S.,
Chatterjee, S.,
Performance Analysis of Total Least Squares Methods in
Three-Dimensional Motion Estimation,
RA(7), 1991, pp. 707-714.
BibRef
9100
Oliensis, J.[John],
A Critique of Structure-from-Motion Algorithms,
CVIU(80), No. 2, November 2000, pp. 172-214.
0012
WWW Version.
Postscript Version.
BibRef
And: Errattum:
CVIU(84), No. 3, December 2001, pp. 407-408.
WWW Version.
0207
BibRef
Oliensis, J.[John],
Govindu, V.[Venu],
An Experimental Study of Projective Structure from Motion,
PAMI(21), No. 7, July 1999, pp. 665-671.
IEEE Abstract. IEEE Top Reference.
WWW Version.
Postscript Version. Comparison between Euclidean and projective approaches.
Euclidean is as accurate as projective. Projective has less
trouble with local-minima.
BibRef
9907
Oliensis, J.[John],
A New Structure-from-Motion Ambiguity,
PAMI(22), No. 7, July 2000, pp. 685-700.
IEEE Abstract. IEEE Top Reference.
WWW Version.
Postscript Version.
0008
BibRef
Earlier:
CVPR99(I: 185-191).
IEEE Abstract. IEEE Top Reference.
WWW Version. In Euclidean structure from motion, with large depth variations.
Ambiguity noted in:
See also Computing the Camera Heading from Multiple Frames. and
See also Optimal Structure from Motion: Local Ambiguities and Global Estimates. Further discussed in:
See also Recursive 3-D Visual-Motion Estimation Using Subspace Constraints. now explained.
Also appears in
See also Direction of Heading from Image Deformations.
BibRef
Oliensis, J.[John],
Exact Two-Image Structure from Motion,
PAMI(24), No. 12, December 2002, pp. 1618-1633.
IEEE Abstract. IEEE Top Reference.
0212
BibRef
Jacobs, D.W.[David W.],
Linear Fitting with Missing Data for Structure-from-Motion,
CVIU(82), No. 1, April 2001, pp. 57-81.
WWW Version.
0104
Code, Surface Fitting. Code:
WWW Version.
BibRef
Earlier:
Linear Fitting with Missing Data: Applications to
Structure from Motion and to Characterizing Intensity Images,
CVPR97(206-212).
IEEE Abstract. IEEE Top Reference.
WWW Version.
9704Problems reduce to fitting surface to data.
BibRef
Cheong, L.F.[Loong-Fah],
Xiang, T.[Tao],
Characterizing Depth Distortion under Different Generic Motions,
IJCV(44), No. 3, September-October 2001, pp. 199-217.
WWW Version.
WWW Version.
0111
See also Depth distortion under calibration uncertainty. Given the errors in camera calibrations, what are the effects.
For lateral motion, although Euclidean
reconstruction is difficult, ordinal depth information is obtainable; while for
forward motion, depth information (even partial one) is difficult to recover.
BibRef
Xiang, T.[Tao],
Cheong, L.F.[Loong-Fah],
On the distortion of shape recovery from motion,
IVC(22), No. 10, 1 September 2004, pp. 807-817.
WWW Version.
0409
BibRef
Xiang, T.,
Cheong, L.F.,
Distortion of Shape from Motion,
BMVC02(Poster Session).
0208
BibRef
Cheong, L.F.[Loong-Fah],
Peh, C.H.[Chin-Hwee],
Depth distortion under calibration uncertainty,
CVIU(93), No. 3, March 2004, pp. 221-244.
WWW Version.
0402
See also Characterizing Depth Distortion under Different Generic Motions.
BibRef
Cheong, L.F.[Loong-Fah],
Depth Perception Under Motion and Stereo with Implications for 3D TV,
3DTV07(1-4).
WWW Version.
0705
BibRef
Ma, Y.[Yi],
Kosecká, J.[Jana],
Sastry, S.[Shankar],
Linear Differential Algorithm for Motion Recovery:
A Geometric Approach,
IJCV(36), No. 1, January 2000, pp. 71-89.
WWW Version.
9912
BibRef
Earlier:
Motion Recovery from Image Sequences:
Discrete Viewpoint vs. Differential Viewpoint,
ECCV98(II: 337).
WWW Version. See also Differential Geometric Approach to Multiple View Geometry in Spaces of Constant Curvature, A.
BibRef
Ma, Y.[Yi],
Kosecká, J.[Jana],
Sastry, S.[Shankar],
Optimization Criteria and Geometric Algorithms for Motion and Structure
Estimation,
IJCV(44), No. 3, September-October 2001, pp. 219-249.
WWW Version.
WWW Version.
0111Study the main aspects of motion and structure
recovery: the choice of objective function, optimization techniques and
sensitivity and robustness issues in the presence of noise. And
the interactions.
BibRef
Zhang, W.[Wei],
Kosecka, J.[Jana],
Ensemble Method for Robust Motion Estimation,
RANSAC06(100).
WWW Version.
0609
BibRef
And:
Nonparametric Estimation of Multiple Structures with Outliers,
WDV06(60-74).
WWW Version.
0705
BibRef
Lingrand, D.[Diane],
An Exhaustive Study of Particular Cases Leading to Robust and Accurate
Motion Estimation,
CVIU(85), No. 3, March 2002, pp. 159-188.
WWW Version.
0211
BibRef
Xiang, T.[Tao],
Cheong, L.F.[Loong-Fah],
Understanding the Behavior of SFM Algorithms: A Geometric Approach,
IJCV(51), No. 2, February 2003, pp. 111-137.
WWW Version.
0301
BibRef
Cheong, L.F.[Loong-Fah],
Li, S.M.[Shi-Miao],
Error Analysis of SFM Under Weak-Perspective Projection,
ACCV06(II:862-871).
WWW Version.
0601
BibRef
Cheong, L.F.[Loong-Fah],
Xiang, X.[Xu],
Error Characteristics of SFM with Erroneous Focal Length,
ACCV06(I:714-723).
WWW Version.
0601
BibRef
Roy Chowdhury, A.K.[Amit K.], and
Chellappa, R.[Rama],
Stochastic Approximation and Rate-Distortion Analysis for Robust
Structure and Motion Estimation,
IJCV(55), No. 1, September 2003, pp. 27-53.
WWW Version.
0307
BibRef
And:
UMD--TR4261, June 2001.
WWW Version.
WWW Version. Focus on sources of errors, experimental and theoretical analysis,
robust and information-theoretic techniques to characterize
the quality of reconstruction.
BibRef
Roy Chowdhury, A.K.,
Chellappa, R.,
An Information Theoretic Criterion for Evaluating the Quality of 3-D
Reconstructions from Video,
IP(13), No. 7, July 2004, pp. 960-973.
WWW Version.
0406
BibRef
Roy Chowdhury, A.K.[Amit K.],
Chellappa, R.[Rama],
Statistical Analysis of 3d Modeling From Monocular Video Streams,
UMD-- TR4383, July 2002.
WWW Version.
WWW Version.
BibRef
0207
Roy Chowdhury, A.K.[Amit K.],
Chellappa, R.[Rama],
Face reconstruction from monocular video using uncertainty analysis and
a generic model,
CVIU(91), No. 1-2, July-August 2003, pp. 188-213.
WWW Version.
0309
BibRef
Roy Chowdhury, A.K.[Amit K.],
Chellappa, R.[Rama],
Statistical bias in 3-D reconstruction from a monocular video,
IP(14), No. 8, August 2005, pp. 1057-1062.
WWW Version.
0508
BibRef
Earlier:
Statistical Bias and the Accuracy of 3d Reconstruction from Video,
UMD-- TR4303, November 2001.
WWW Version.
WWW Version.
BibRef
Roy Chowdhury, A.K.,
Chellappa, R.,
Robust Estimation of Depth and Motion Using Stochastic Approximation,
ICIP01(I: 642-645).
IEEE Abstract. IEEE Top Reference.
0108
BibRef
Agrawal, A.K.[Amit K.],
Chellappa, R.[Rama],
Robust Ego-Motion Estimation and 3-D Model Refinement Using Surface
Parallax,
IP(15), No. 5, May 2006, pp. 1215-1225.
WWW Version.
0605
BibRef
Earlier:
Ego-Motion Estimation and 3D Model Refinement in Scenes with Varying
Illumination,
Motion05(II: 140-146).
WWW Version.
0502
BibRef
Earlier:
Robust ego-motion estimation and 3d model refinement using depth based
parallax model,
ICIP04(IV: 2483-2486).
WWW Version.
0505
BibRef
Chen, P.[Pei],
Suter, D.[David],
Recovering the Missing Components in a Large Noisy Low-Rank Matrix:
Application to SFM,
PAMI(26), No. 8, August 2004, pp. 1051-1063.
IEEE Abstract. IEEE Top Reference.
0407Structure from motion with missing data.
See also Principal Component Analysis with Missing Data and Its Application to Polyhedral Object Modeling.
See also Linear Fitting with Missing Data for Structure-from-Motion.
BibRef
Lu, Y.[Ye],
Zhang, J.Z.,
Wu, Q.M.J.,
Li, Z.N.[Ze-Nian],
A survey of motion-parallax-based 3-D reconstruction algorithms,
SMC-C(34), No. 4, December 2004, pp. 532-548.
IEEE Abstract. IEEE Top Reference.
0412
Survey, Motion Parallax.
BibRef
Zucchelli, M.[Marco],
Kosecka, J.[Jana],
Motion bias and structure distortion induced by intrinsic calibration
errors,
IVC(26), No. 5, May 2008, pp. 639-646.
WWW Version.
0803
BibRef
Earlier:
Motion bias and structure distortion induced by calibration errors,
BMVC01(Session 7: Geometry &. Structure).
HTML Version. Royal Institute of Technology
0110Structure and motion recovery; Calibration sensitivity; Optical flow
BibRef
Nister, D.[David],
Kahl, F.[Fredrik],
Stewenius, H.[Henrik],
Structure from Motion with Missing Data is NP-Hard,
ICCV07(1-7).
WWW Version.
0710
BibRef
Nister, D.[David],
Hartley, R.I.[Richard I.],
Stewenius, H.[Henrik],
Using Galois Theory to Prove Structure from Motion Algorithms are
Optimal,
CVPR07(1-8).
WWW Version.
0706
BibRef
Jähne, B.[Bernd],
Garbe, C.S.,
Towards objective performance analysis for estimation of complex
motion: analytic motion modeling, filter optimization, and test
sequences,
ICIP03(III: 73-76).
IEEE Abstract. IEEE Top Reference.
0312
BibRef
Betke, M.[Margrit],
Naftali, E.[Eran], and
Makris, N.C.[Nicholas C.],
Necessary Conditions to Attain Performance Bounds on Structure and
Motion Estimates of Rigid Objects,
CVPR01(II:448-455).
IEEE Abstract. IEEE Top Reference.
0110Study Cramer-Rao lower bound issues. Noise level, number of pixels
and texture.
BibRef
Haddon, J.[John],
Forsyth, D.A.[David A.],
Noise in Bilinear Problems,
ICCV01(II: 622-627).
WWW Version.
0106Analysis of noise and its effects.
BibRef
Torr, P.H.S.,
An Assessment of Information Criteria for Motion Model Selection,
CVPR97(47-52).
IEEE Abstract. IEEE Top Reference.
WWW Version.
9704Evaluation of criteria.
BibRef
Boufama, B.,
Weinshall, D.,
Werman, M.,
Shape from Motion Algorithms:
A Comparative Analysis of Scaled Orthography and Perspective,
ECCV94(A:197-204).
WWW Version.
BibRef
9400
Xuening, S., and
Spetsakis, M.E.,
A Comparison of Weighted LS Methods with LS Methods in
3-D Motion Estimation from Stereo Image Sequences,
CVPR93(200-205).
IEEE Abstract. IEEE Top Reference.
BibRef
9300