13.1.2.2 Invariants, Points

Haag, N.N., Brill, M.H., Barrett, E.B.,
Invariant Relationships in Side-Looking Synthetic Aperture Imagery,
PhEngRS(57), No.7, July 1991, pp. 927-931. Two SAR images of 5 points. A Volume ratio oftetrahedra spanned by two subsets of four of the five points. BibRef 9107

Wolfe, W.J., Mathis, D., Sklair, C.W., and Magee, M.,
The Perspective View of Three Points,
PAMI(13), No. 1, January 1991, pp. 66-73.
IEEE Abstract. IEEE Top Reference.
WWW Version. Different arrangements that give 1, 2, 3, or 4 3-D triangles for 3 points in perspective views. BibRef 9101

Lenz, R., Meer, P.,
Point Configuration Invariants Under Simultaneous Projective and Permutation Transformations,
PR(27), No. 11, November 1994, pp. 1523-1532. BibRef 9411
And:
WWW Version.
Experimental Investigation of Projection and Permutation Invariants,
PRL(15), No. 8, August 1994, pp. 751-760. BibRef

Meer, P., Lenz, R., Ramakrishna, S.,
Efficient Invariant Representations,
IJCV(26), No. 2, February 1998, pp. 137-152.
WWW Version.
HTML Version. 9804
BibRef

Meer, P., Ramakrishna, S., Lenz, R.,
Correspondence of Coplanar Features Through P2-Invariant Representations,
ICPR94(A:196-200).
IEEE DOI Link If you know it is a plane, more assumptions are possible. BibRef 9400

Ramakrishna, S.,
Invariance Based Robust Matching,
RutgersCE-105, October 1994. BibRef 9410

Zhu, Y., Seneviratne, L.D., Earles, S.W.E.,
New Algorithm for Calculating an Invariant of 3D Point Sets from a Single View,
IVC(14), No. 3, April 1996, pp. 179-188.
WWW Version. 9607
BibRef

Kumar, R., Rockett, P.I.,
Triplet Geometric Representation: A Novel Scale, Translation and Rotation-Invariant Feature Representation Based on Geometric Constraints for Recognition of 2D Object Features,
IVC(15), No. 3, March 1997, pp. 235-249.
WWW Version. 9704
BibRef

Torr, P.H.S., Murray, D.W.,
The Development and Comparison of Robust Methods for Estimating the Fundamental Matrix,
IJCV(24), No. 3, October 1997, pp. 271-300.
WWW Version.
HTML Version. 9710
BibRef

Torr, P.H.S., Zisserman, A.,
Performance Characterization of Fundamental Matrix Estimation under Image Degradation,
MVA(9), No. 5-6, 1997, pp. 321-333.
HTML Version. 9705
BibRef

Torr, P.H.S., Zisserman, A.,
Robust Parameterization and Computation of the Trifocal Tensor,
IVC(15), No. 8, August 1997, pp. 591-605.
WWW Version. 9708
BibRef
Earlier: BMVC96(Motion and Active Vision). 9608
BibRef
And:
Concerning Bayesian Motion Segmentation, Model Averaging, Matching and the Trifocal Tensor,
ECCV98(I: 511).
WWW Version. University of Oxford. BibRef

Torr, P.H.S., and Zisserman, A.,
Robust Computation and Parametrization of Multiple View Relations,
ICCV98(727-732).
IEEE DOI Link BibRef 9800

Triggs, B.,
Linear Projective Reconstruction from Matching Tensors,
IVC(15), No. 8, August 1997, pp. 617-625.
WWW Version. 9708
BibRef
Earlier: BMVC96(Motion and Active Vision). 9608
INRIA Rhone-Alpes, France BibRef

Yan, X., Peng, J.X., Ding, M.Y., Xue, D.H.,
The Unique Solution of Projective Invariants of 6 Points from 4 Uncalibrated Images,
PR(30), No. 3, March 1997, pp. 513-517.
WWW Version. 9705
BibRef

Suk, T.[Tomás], Flusser, J.[Jan],
Point-based projective invariants,
PR(33), No. 2, February 2000, pp. 251-261.
WWW Version. 0001
BibRef
Earlier:
Point projective and permutation invariants,
CAIP97(74-81).
WWW Version. 9709
See also Pattern Recognition by Affine Moment Invariants. BibRef

Bruckstein, A.M.[Alfred M.], Holt, R.J.[Robert J.], Huang, T.S.[Thomas S.], Netravali, A.N.[Arun N.],
Trifocal tensors for weak perspective and paraperspective projections,
PR(34), No. 2, February 2001, pp. 395-404.
WWW Version. 0011
BibRef

Liu, J.S., Chuang, J.H.,
A geometry-based error estimation for cross-ratios,
PR(35), No. 1, January 2002, pp. 155-167.
WWW Version. 0111
BibRef

Mayer, H.[Helmut],
Estimation of and View Synthesis with the Trifocal Tensor,
PCV02(A: 211). 0305
BibRef

Brown, M.[Matthew], Lowe, D.G.[David G.],
Invariant Features from Interest Point Groups,
BMVC02(Poster Session). 0208
BibRef

Matei, B.[Bogdan], Georgescu, B.[Bogdan], Meer, P.[Peter],
A Versatile Method for Trifocal Tensor Estimation,
ICCV01(II: 578-585).
IEEE DOI Link 0106
BibRef

Thorhallsson, T.[Torfi], Murray, D.W.[David W.],
The Tensors of Three Affine Views,
CVPR99(I: 450-456).
IEEE Abstract. IEEE Top Reference.
WWW Version.
HTML Version. BibRef 9900

Papadopoulo, T., Faugeras, O.D.,
A new characterization of the trifocal tensor,
ECCV98(I: 109).
WWW Version.
Postscript Version. BibRef 9800

Mendonça, P.R.S., Cipolla, R.,
Analysis and Computation of an Affine Trifocal Tensor,
BMVC98(xx-yy). BibRef 9800

Gurdjos, P., Castan, S., Dalle, P.,
Tracking 3D Coplanar Points in the Invariant Perspective Coordinates Plane,
ICPR96(I: 493-497).
IEEE DOI Link 9608
(Univ. P. Sabatier, F) BibRef

Faugeras, O.D.[Olivier D.], Mourrain, B.[Bernard],
On the Geometry and Algebra of the Point and Line Correspondences between N Images,
ICCV95(951-956).
IEEE DOI Link
WWW Version.
Postscript Version. BibRef 9500
And: INRIA2665, 1995. BibRef
And:
About the Correspondence of Points Between N Images,
RVS95(xx).
Postscript Version. BibRef

Chapter on Matching and Recognition Using Volumes, High Level Vision Techniques, Invariants continues in
Invariants, Lines, Curves .