16.2.3 Motion Estimates Using 4 Frames

Chapter Contents (Back)
Motion, Four Frames.

Shariat, H., and Price, K.E.,
Motion Estimation: The Proper Formulation for when 3 or 4 Frames Are Available,
CVPR86(396-399). BibRef 8600 USC Computer VisionEquations and the general description. BibRef

Webb, J.A.[Jon A.], Aggarwal, J.K.,
Structure from Motion of Rigid and Jointed Objects,
AI(19), No. 1, September 1982, pp. 107-130.
Elsevier DOI BibRef 8209
Earlier: IJCAI81(686-691). BibRef
Static Analysis Of Moving Jointed Objects,
AAAI-80(35-37). BibRef
Observing Jointed Objects,
ICPR80(1246-1250). Motion, Structure. Moving Light Displays. Assuming a parallel projection, derive nonlinear equations and solve with real data motion parameters for 2 points in 4 or more images. The basic idea starts out the same as Shariat ( See also Motion Estimation With More Than Two Frames. ), but the parallel projection "ruins" it. BibRef

Webb, J.A.[Jon A.],
Shape and Structure from Motion of Objects,
Ph.D.Thesis, December 1981, BibRef 8112 Univ. of Texas BibRef

Webb, J.A.[Jon A.], Aggarwal, J.K.,
Visually Interpreting the Motion of Objects in Space,
Computer(14), No. 8, August 1981, pp. 40-46. BibRef 8108
Visual Interpretation of the Motion of Objects in Space,
PRIP81(516-521). From the x-y position of points over time generate the complete 3-D positional information. Assumes rigid motions and assume each motion has a fixed axis. See also Lights: A System for the Interpretation of Moving Light Displays. BibRef

Heyden, A.[Anders], and Åström, K.[Kalle],
Simplifications of Multilinear Forms for Sequences of Images,
IVC(15), No. 10, October 1997, pp. 749-757.
Elsevier DOI 9710
A Canonical Framework for Sequences of Images,
RVS95(xx). See also Continuous Time Matching Constraints for Image Streams. See also Reconstruction of General Curves, Using Factorization and Bundle Adjustment. See also Reduced Multilinear Constraints: Theory and Experiments. BibRef

Åström, K.[Kalle], Heyden, A.[Anders],
Multilinear Forms in the Velocity Case,
IEEE DOI Continuous motions, at the limit of analysis. BibRef 9600

Heyden, A., Åström, K.[Kalle],
Algebraic Varieties in Multiple View Geometry,
Springer DOI BibRef 9600

Berthilsson, R.[Rikard], and Heyden, A.[Anders],
Linear Reconstruction from Dual Multilinear Constraints,
SSAB96(xx). 6 points, 4 images. Linear solution. For more use subsets. BibRef 9600

Heyden, A.[Anders],
Reconstruction from Image Streams: Continuous Multilinear Constraints,
SSAB96(xx). Generalizing trilinear constraints. BibRef 9600

Shashua, A., Wolf, L.B.,
Homography Tensors: On Algebraic Entities That Represent Three Views of Static or Moving Planar Points,
ECCV00(I: 507-521).
Springer DOI 0003

Shashua, A., Wolf, L.B.,
On the Structure and Properties of the Quadrifocal Tensor,
ECCV00(I: 710-724).
Springer DOI 0003

Chapter on Motion -- Feature-Based, Long Range, Motion and Structure Estimates, Tracking, Surveillance, Activities continues in
Motion Estimates Using 5 or More Frames .

Last update:Aug 16, 2018 at 18:22:30