*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 Vision*Equations 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

Earlier:

**Static Analysis Of Moving Jointed Objects**,

*AAAI-80*(35-37).
BibRef

And:

**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**

Earlier:

**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**

BibRef

Earlier:

**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**,

*CVPR96*(833-838).

IEEE DOI Continuous motions, at the limit of analysis.
BibRef
**9600**

*Heyden, A.*,
*Åström, K.[Kalle]*,

**Algebraic Varieties in Multiple View Geometry**,

*ECCV96*(II:669-682).

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**

*Award, ECCV*.
BibRef

*Shashua, A.*,
*Wolf, L.B.*,

**On the Structure and Properties of the Quadrifocal Tensor**,

*ECCV00*(I: 710-724).

Springer DOI
**0003**

BibRef

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:Dec 7, 2021 at 16:42:42