Liu, W., and
Kanatani, K.I.,
Interpretation of Conic Motion and Its Applications,
IJCV(10), No. 1, February 1993, pp. 67-84.
Springer DOI Link Analysis of the motion of a conic curve. An image motion of a conic is
assiciated with a group of invisible motions that do not change the character
of the conic.
BibRef
9302
Kanatani, K.[Kenichi],
Liu, W.[Wu],
3D Interpretation of Conics and Orthogonality,
CVGIP(58), No. 3, November 1993, pp. 286-301.
WWW Version.
BibRef
9311
Kanatani, K.I., and
Chou, T.C.,
Tracing Finite Motions Without Correspondence,
DARPA87(704-718).
Given one object in the
image the changing shape gives the motion parameters.
BibRef
8700
Kanatani, K.I., (Gunma U. Japan, Now at UMd)
Tracing Planar Surface Motion from a Projection without
Knowing the Correspondence,
CVGIP(29), No. 1, January 1985, pp. 1-12.
WWW Version.
BibRef
8501
And:
Structure from Motion Without Correspondence: General Principle,
DARPA85(107-116).
Motion is determined by the motion of the entire contour -- limited
to single objects with well defined contours. The contour motion
is given by the motion of the diameters.
See also Structure and Motion from Optical Flow under Orthographic Projection.
BibRef
Kanatani, K.I., (Gunma U. Japan)
Detecting the Motion of a Planar
Surface by Line and Surface Integrals,
CVGIP(29), No. 1, January 1985, pp. 13-22.
WWW Version. And the above paper.
BibRef
8501
Aloimonos, Y., and
Herve, J.Y.,
Correspondenceless Stereo and Motion: Planar Surfaces,
PAMI(12), No. 5, May 1990, pp. 504-510.
IEEE Abstract. IEEE Top Reference.
WWW Version. Rigid motion of a planar patch.
BibRef
9005
Basu, A., and
Aloimonos, Y.,
A Robust, Correspondenceless, Translation-Determining Algorithm,
IJRR(9), No. 5, 1990, pp. 35-59.
BibRef
9000
Aloimonos, Y., and
Basu, A.,
Shape and 3-D Motion from
Contour without Point to Point Correspondences: General Principles,
CVPR86(518-527).
Uses the global contour changes to compute the motion parameters.
BibRef
8600
Ito, E.,
Aloimonos, Y.,
Is Correspondence Necessary for the Perception of
Structure from Motion?,
DARPA88(921-929).
BibRef
8800
Brown, C.M.,
Aloimonos, Y.,
Swain, M.J.,
Chou, P.,
Basu, A.,
Texture, Contour, Shape, and Motion,
PRL(5), 1987, pp. 151-168.
BibRef
8700
Aloimonos, Y.[Yiannis (John)],
Basu, A.[Anup], and
Brown, C.M.,
Contour Orientation and Motion,
DARPA85(129-136).
Find the changes in 2 contours by the change in shape.
BibRef
8500
Aloimonos, Y.,
Brown, C.M.,
The Relationship Between Optical Flow and Surface Orientation,
ICPR84(542-545).
BibRef
8400
Aloimonos, Y., and
Rigoutsos, I.[Isidore],
Determining the 3-D Motion of a Rigid Planar Patch Without
Correspondence, under Perspective Projection,
Motion86(167-174).
BibRef
8600
And:
Determining the 3-D Motion of a Rigid Planar Patch Without
Correspondence, under Perspective Projection,
I. Planar Surfaces, II. Curved Surfaces,
AAAI-86(681-688).
First: correspondence is assumed (at the gross - region - level).
Second: merely accumulating the measurements for all the feature
points in the two views. This is not really anything different.
He argues that there cannot exist a robust algorithm for 3-D
motion for a single camera, but has no proof, yet.
BibRef
Korsten, M.J., and
Houkes, Z.,
The Estimation of Geometry and Motion of a Surface from
Image Sequences by Means of Linearization of a Parametric Model,
CVGIP(50), No. 1, April 1990, pp. 1-28.
WWW Version. Lots of theory.
BibRef
9004
Lin, C.T.D.,
Goldgof, D.B., and
Huang, W.C.,
Motion Estimation from Scaled Orthographic Projections
without Correspondences,
IVC(12), No. 2, March 1994, pp. 95-108.
WWW Version.
BibRef
9403
Vieville, T.,
Lingrand, D.,
Gaspard, F.,
Implementing a Multi-Model Estimation Method,
IJCV(44), No. 1, August 2001, pp. 41-64.
WWW Version. Revisit Kanatani's estimation method.
See also Tracing Planar Surface Motion from a Projection without Knowing the Correspondence.
0108
BibRef
Hamano, T.,
Yasuno, T.,
Ishii, K.,
Direct Estimation of Structure from Non-Linear Motion by
Voting Algorithm without Tracking and Matching,
ICPR92(I:505-508).
IEEE DOI Link
BibRef
9200
Chapter on Motion Analysis --Low-Level, Image Level Analysis, Mosaic Generation, Super Resolution, Shape from Motion continues in
Structure, Depth, and Shape from Motion .