16.5.2 Rotation Only

Jerian, C.[Charles], and Jain, R.C.[Ramesh C.],
Polynomial Methods for Structure from Motion,
PAMI(12), No. 12, December 1990, pp. 1150-1166.
IEEE Abstract. IEEE Top Reference.
WWW Version. BibRef 9012
Earlier: ICCV88(197-206).
IEEE Abstract. IEEE Top Reference. Motion, Structure. Perspective assumption. Polynomial solution to the rotation problem with 8 (or more) point pairs. The space is quantized and all possible tilt angles are tried to find the best close one, then the amount of rotation is generated. BibRef

Kanatani, K.,
Analysis of 3-D Rotation Fitting,
PAMI(16), No. 5, May 1994, pp. 543-549.
IEEE Abstract. IEEE Top Reference.
WWW Version. BibRef 9405

Kanatani, K.,
Automatic Singularity Test for Motion Analysis by an Information Criterion,
ECCV96(I:697-708).
WWW Version. BibRef 9600

Aitken, V.C., Schwartz, H.M.,
A Comparison of Rotational Representations in Structure and Motion Estimation for Maneuvering Objects,
IP(4), No. 4, April 1995, pp. 516-520.
WWW Version. BibRef 9504

Goryn, D.[Daniel], Hein, S.[Soren],
On the Estimation of Rigid Body Rotation from Noisy Data,
PAMI(17), No. 12, December 1995, pp. 1219-1220.
IEEE Abstract. IEEE Top Reference.
WWW Version. BibRef 9512

Manmatha, R., and Oliensis, J.,
Extracting Affine Deformations from Image Patches - I: Finding Scale and Rotation,
CVPR93(754-755).
IEEE Abstract. IEEE Top Reference. BibRef 9300
And:
Measuring the Affine Transform - I: Recovering Scale and Rotation,
DARPA93(449-458). Two frames, find the affine transformation between patches. BibRef

Manmatha, R.,
A Framework for Recovering Affine Transforms Using Points, Lines or Image Brightnesses,
CVPR94(141-146).
IEEE Abstract. IEEE Top Reference. BibRef 9400

Manmatha, R.,
Measuring the Affine Transform Using Gaussian Filters,
ECCV94(B:159-164).
WWW Version. BibRef 9400

Sawhney, H.S., Oliensis, J., and Hanson, A.R.,
Image Description and 3-D Reconstruction from Image Trajectories of Rotational Motion,
PAMI(15), No. 9, September 1993, pp. 885-898.
IEEE Abstract. IEEE Top Reference.
WWW Version. BibRef 9309
Earlier: A1, A2 Only:
Description and Interpretation of Rotational Motion from Image Trajectories,
DARPA89(992-1003). BibRef
And:
Description and Reconstruction from Image Trajectories of Rotational Motion,
ICCV90(494-498).
WWW Version. Find the rotation and structure for a set of 3-D points rotating around an arbitrary axis. Uses grouping of points rather than matching (find a conic that fits a group, this gives a certain 3-D structure). BibRef

Sawhney, H.S., Hanson, A.R.,
Comparative Results of Some Motion Algorithms on Real Image Sequences,
DARPA90(307-313). BibRef 9000

Ostuni, J., Dunn, S.,
Motion from Three Weak Perspective Images Using Image Rotation,
PAMI(18), No. 1, January 1996, pp. 64-69.
IEEE Abstract. IEEE Top Reference.
WWW Version. Given 4 points in a pair of images, find the rotation. A linear system is then generated to get the full rotation matricies. BibRef 9601

Young, T.Y., Wang, Y.L.,
Analysis of Three-Dimensional Rotation and Linear Shape Changes,
PRL(2), 1984, pp. 239-242. BibRef 8400

Xu, G.[Gang], Sugimoto, N.[Noriko],
Linear Algorithm for Motion from Three Weak Perspective Images Using Euler Angles,
PAMI(21), No. 1, January 1999, pp. 54-57.
IEEE Abstract. IEEE Top Reference.
WWW Version. Code, Motion. Code is available:
HTML Version. Determine the rotations and structure. Uses epipolar geometry computations from: See also Epipolar Geometry in Stereo, Motion, and Object Recognition: A Unified Approach. But see results in: See also Motion Estimation With More Than Two Frames. BibRef 9901

Xu, G.[Gang], Terai, J.I.[Jun-Ichi], Shum, H.Y.[Heung-Yeung],
A Linear Algorithm for Camera Self-Calibration, Motion and Structure Recovery for Multi-Planar Scenes from Two Perspective Images,
CVPR00(II: 474-479).
IEEE Abstract. IEEE Top Reference.
WWW Version. 0005 BibRef

Noumeir, R.[Rita],
Detecting three-dimensional rotation of an ellipsoid from its orthographic projections,
PRL(20), No. 6. June 1999, pp. 585-590. BibRef 9906

Weerasinghe, C., Yan, H., Ji, L.,
A fast method for estimation of object rotation function in MRI using a similarity criterion among k-space overlap data,
SP(78), No. 2, 1999, pp. 215-230. BibRef 9900

Mendonça, P.R.S.[Paulo R.S.], Wong, K.Y.K., Cipolla, R.[Roberto],
Epipolar Geometry from Profiles under Circular Motion,
PAMI(23), No. 6, June 2001, pp. 604-616.
IEEE Abstract. IEEE Top Reference.
WWW Version. 0106Motion from contours (profiles). Object rotates on turntable, stationary camera. Exploit symmetry properties. See also Camera Calibration from Symmetry. See also Multiview Geometry: Profiles and Self-Calibration. BibRef

Wong, K.Y.K.[Kwan-Yee Kenneth], and Cipolla, R.[Roberto],
Reconstruction of Outdoor Sculptures from Silhouettes under Approximate Circular Motion of an Uncalibrated Hand-Held Camera,
MVA02(459-462).
PDF Version. BibRef 0200
Earlier:
Structure and Motion from Silhouettes,
ICCV01(II: 217-222).
WWW Version. 0106 BibRef

Wong, K.Y.K.[Kwan-Yee K.], Mendonca, P.R.S.[Paulo R.S.], Cipolla, R.[Roberto],
Structure and Motion Estimation from Apparent Contours under Circular Motion,
IVC(20), No. 5-6, 15 April 2002, pp. 441-448.
WWW Version.
HTML Version. 0204 See also Silhouette Coherence for Camera Calibration under Circular Motion. BibRef

Wong, K.Y.K., Mendonca, P.R.S., Cipolla, R.,
Camera calibration from surfaces of revolution,
PAMI(25), No. 2, February 2003, pp. 147-161.
IEEE Abstract. IEEE Top Reference.
WWW Version. 0301 BibRef

Mendonca, P.R.S., Wong, K.Y.K., Cipolla, R.,
Camera Pose Estimation and Reconstruction from Image Profiles under Circular Motion,
ECCV00(II: 864-877).
WWW Version. Apparent Contours. 0003
PDF Version. BibRef

Mendonca, P.R.S.[Paulo R.S.], Cipolla, R.[Roberto],
Estimation of Epipolar Geometry from Apparent Contours: Affine and Circular Motion Cases,
CVPR99(I: 9-14).
IEEE Abstract. IEEE Top Reference.
WWW Version. Circlular motion is for wide baseline cases only. BibRef 9900

Mendonca, P.R.S., Wong, K.Y.K., Cipolla, R.,
Recovery of Circular Motion from Profiles of Surfaces,
VisionAlg99(151-167).
PDF Version. 0101Title in the abstract given as: Circular motion recovery from image profiles (title is as given in full paper) Pages may be: 119-126. BibRef

Wong, K.Y.K., Mendonca, P.R.S., Cipolla, R.,
Reconstruction and motion estimation from apparent contours under circular motion,
BMVC99(I: 83-92). Apparent Contours.
PDF Version. BibRef 9900

Zhang, G., Zhang, H., Wong, K.Y.K.[Kwan-Yee Kenneth],
1D Camera Geometry and Its Application to Circular Motion Estimation,
BMVC06(I:67).
PDF Version. 0609 BibRef

Gramkow, C.[Claus],
On Averaging Rotations,
IJCV(42), No. 1-2, April-May 2001, pp. 7-16.
WWW Version. 0106 BibRef
And: JMIV(15), No. 1/2, July 2001, pp. 7-16.
WWW Version. 0106 BibRef
Earlier: SCIA99(Computer Vision). BibRef

Leduc, J.P.[Jean-Pierre],
A Group-Theoretic Construction with Spatiotemporal Wavelets for the Analysis of Rotational Motion,
JMIV(17), No. 3, November 2002, pp. 207-236.
WWW Version. 0211 BibRef

Jiang, G.[Guang], Tsui, H.T.[Hung-Tat], Quan, L.[Long], Zisserman, A.[Andrew],
Geometry of single axis motions using conic fitting,
PAMI(25), No. 10, October 2003, pp. 1343-1348.
IEEE Abstract. IEEE Top Reference. 0310 BibRef
Earlier:
Single Axis Geometry by Fitting Conics,
ECCV02(I: 537 ff.).
HTML Version. 0205Fit a conic over the points in multiple views. E.g. 1 point in 5 views. How does it compare to the earlier analysis resulting in 1 point in 5 frames ( See also Motion Estimation With More Than Two Frames. or See also Number of Solutions for Motion and Structure from Multiple Frame Correspondence. )? BibRef

Jiang, G.[Guang], Tsui, H.T.[Hung-Tat], Quan, L.[Long], and Liu, S.Q.[Shang-Qian],
Recovering the Geometry of Single Axis Motions by Conic Fitting,
CVPR01(I:293-298).
IEEE Abstract. IEEE Top Reference. 0110From unknown rotations. BibRef

Jiang, G.[Guang], Quan, L.[Long], Tsui, H.T.[Hung-Tat],
Circular Motion Geometry Using Minimal Data,
PAMI(26), No. 6, June 2004, pp. 721-731.
IEEE Abstract. IEEE Top Reference. 0404 BibRef
Earlier:
Circular motion geometry by minimal 2 points in 4 images,
ICCV03(221-227).
WWW Version. 0311Structure from turntable motion. 2 points in 4 images. So, for rotation 1 point in 4 images was shown earlier. See also Motion Estimation With More Than Two Frames. BibRef

Jiang, G.[Guang], Wei, Y.[Yichen], Quan, L.[Long], Tsui, H.T.[Hung-Tat], Shum, H.Y.[Heung Yeung],
Outward-Looking Circular Motion Analysis of Large Image Sequences,
PAMI(27), No. 2, February 2005, pp. 271-277.
IEEE Abstract. IEEE Top Reference. 0501mounted video camera, moving in circular motion. BibRef

Feng, M.[Mu], Reed, T.R.,
Motion Estimation in the 3-D Gabor Domain,
IP(16), No. 8, August 2007, pp. 2038-2047.
WWW Version. 0709 BibRef
Earlier:
Detection and Estimation of Rotational Motions Using the 3-D Gabor Representation,
ICIP05(I: 133-136).
WWW Version. 0512 BibRef
Earlier:
Dense Motion Field Estimation by 3-D Gabor Representation,
ICIP04(IV: 2555-2558).
WWW Version. 0505 BibRef

Cao, W.[Wanpeng], Che, R.[Rensheng], Ye, D.[Dong],
Estimation of the center of rotation and 3D motion parameters from stereo sequence images and virtual validation using three-COMERO,
PRL(28), No. 13, 1 October 2007, pp. 1593-1599.
WWW Version. 0709Motion model; Centers of rotation; Stereo sequences images; Virtual simulation BibRef

Zhong, H., Hung, Y.S.,
Multi-stage 3D reconstruction under circular motion,
IVC(25), No. 11, 1 November 2007, pp. 1814-1823.
WWW Version. 0709Multi-stage reconstruction; Circular motion; Circular projective reconstruction BibRef

Falcon, L.E.[Luis Eduardo], Bayro-Corrochano, E.[Eduardo],
Radon Transform and Harmonical Analysis Using Lines for 3D Rotation Estimation without Correpondences from Omnidirectional Vision,
OMNIVIS07(1-6).
WWW Version. 0710 BibRef

Lennon, D.[Daire], Harte, N.[Naomi], Kokaram, A.[Anil],
Rotation Detection using the Curl Equation,
ICIP07(I: 473-476).
WWW Version. 0709Rotation only motions. BibRef

Nagashima, S.[Sei], Ito, K.[Koichi], Aoki, T.[Takafumi], Ishii, H.[Hideaki], Kobayashi, K.[Koji],
A High-Accuracy Rotation Estimation Algorithm Based on 1D Phase-Only Correlation,
ICIAR07(210-221).
WWW Version. 0708 BibRef

Scholz, I.[Ingo], Niemann, H.[Heinrich],
Globally Consistent 3-D Reconstruction by Utilizing Loops in Camera Movement,
DAGM04(471-479).
WWW Version. 0505 BibRef

Deutsch, B.[Benjamin], Scholz, I.[Ingo], Gräßl, C.[Christoph], Niemann, H.[Heinrich],
Extending Light Fields using Object Tracking Techniques,
VMV04(109-116). 0411 BibRef

Schmidt, J., Niemann, H.,
Using Quaternions for Parametrizing 3-D Rotations in Unconstrained Nonlinear Optimization,
VMV01(xx-yy).
PDF Version. 0209 BibRef

Moriya, T.[Toshio], Takeda, H.[Haruo],
Solving the Rotation-Estimation Problem by using the Perspective Three-Point Algorithm,
CVPR00(I: 766-773).
IEEE Abstract. IEEE Top Reference.
WWW Version. 0005 BibRef

Ohta, N., Kanatani, K.,
Optimal estimation of three-dimensional rotation and reliability evaluation,
ECCV98(I: 175).
WWW Version. See also Accuracy bounds and optimal computation of robot localization. BibRef 9800

Rousso, B., Avidan, S., Shashua, A., Peleg, S.,
Robust Recovery of Camera Rotation from Three Frames,
CVPR96(796-802).
IEEE Abstract. IEEE Top Reference.
WWW Version. BibRef 9600
And: ARPA96(851-856). Three frames. BibRef

Lu, J.[Jiping], Little, J.J.[James J.],
Geometric and Photometric Constraints for Surface Recovery,
CVPR96(694-700).
IEEE Abstract. IEEE Top Reference.
WWW Version. Wire frame models. BibRef 9600

Horswill, I.D., and Thompson, W.B.,
Acceleration-Based Structure-from-Motion,
CVPR88(356-359).
IEEE Abstract. IEEE Top Reference. Motion, Structure. Using acceleration find the rotation only (both velocity and acceleration). BibRef 8800

Imiya, A., Nakayama, Y., Yamamoto, Y.,
Reconstruction of rotatory moving image from projections,
ICPR88(II: 879-881).
WWW Version. 8811 BibRef

Shariat, H.,
Shape From Rotation,
CVPR85(178-180). Preliminary - specific to rotational motion. BibRef 8500

Chapter on Motion -- Feature-Based, Long Range, Motion and Structure Estimates, Tracking, Surveillance, Activities continues in
Tracking of Moving Objects and Matching in Sequences .