Abstract

This note shows that the Riemann-space interpretation of motion vision developed by Barth and Watson is neither necessary for their results, nor sufficient to handle an intrinsic coordinate problem. Recasting the Barth-Watson framework as a classical velocity-solver (as in computer vision) solves these problems.

© 2001 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
A geometric framework for nonlinear visual coding

Erhardt Barth and Andrew B. Watson
Opt. Express 7(4) 155-165 (2000)

Pattern and motion vision without Laplacian zero crossings

John G. Daugman
J. Opt. Soc. Am. A 5(7) 1142-1148 (1988)

Mathematical analysis of motion-opponent mechanisms used in the determination of heading and depth

Constance S. Royden
J. Opt. Soc. Am. A 14(9) 2128-2143 (1997)

More Recommended Articles

References

  • View by:
  • Article Order
  • |
  • Year
  • |
  • Author
  • |
  • Publication
  1. E. Barth and A. B. Watson, “A geometric framework for nonlinear visual coding,” Opt. Express 7, 155–165 (2000), http://www.opticsexpress.org/oearchive/source/23045.htm
    [Crossref] [PubMed]
  2. C. Zetsche and E. Barth, “Direct detection of flow discontinuities by 3D-curvature operators,” Pattern Recognition Lett. 12, 771–779 (1991).
    [Crossref]
  3. C. Mota and E. Barth, “On the uniqueness of curvature features,” Proc. Artificial Intell. (Dynamische Perzeption). Köln: Infix Verlag,  v. 9, pp. 175–178 (2000).

2000 (2)

C. Mota and E. Barth, “On the uniqueness of curvature features,” Proc. Artificial Intell. (Dynamische Perzeption). Köln: Infix Verlag,  v. 9, pp. 175–178 (2000).

E. Barth and A. B. Watson, “A geometric framework for nonlinear visual coding,” Opt. Express 7, 155–165 (2000), http://www.opticsexpress.org/oearchive/source/23045.htm
[Crossref] [PubMed]

1991 (1)

C. Zetsche and E. Barth, “Direct detection of flow discontinuities by 3D-curvature operators,” Pattern Recognition Lett. 12, 771–779 (1991).
[Crossref]

Barth, E.

E. Barth and A. B. Watson, “A geometric framework for nonlinear visual coding,” Opt. Express 7, 155–165 (2000), http://www.opticsexpress.org/oearchive/source/23045.htm
[Crossref] [PubMed]

C. Mota and E. Barth, “On the uniqueness of curvature features,” Proc. Artificial Intell. (Dynamische Perzeption). Köln: Infix Verlag,  v. 9, pp. 175–178 (2000).

C. Zetsche and E. Barth, “Direct detection of flow discontinuities by 3D-curvature operators,” Pattern Recognition Lett. 12, 771–779 (1991).
[Crossref]

Mota, C.

C. Mota and E. Barth, “On the uniqueness of curvature features,” Proc. Artificial Intell. (Dynamische Perzeption). Köln: Infix Verlag,  v. 9, pp. 175–178 (2000).

Watson, A. B.

Zetsche, C.

C. Zetsche and E. Barth, “Direct detection of flow discontinuities by 3D-curvature operators,” Pattern Recognition Lett. 12, 771–779 (1991).
[Crossref]

Opt. Express (1)

Pattern Recognition Lett. (1)

C. Zetsche and E. Barth, “Direct detection of flow discontinuities by 3D-curvature operators,” Pattern Recognition Lett. 12, 771–779 (1991).
[Crossref]

Proc. Artificial Intell. (Dynamische Perzeption). Köln: Infix Verlag (1)

C. Mota and E. Barth, “On the uniqueness of curvature features,” Proc. Artificial Intell. (Dynamische Perzeption). Köln: Infix Verlag,  v. 9, pp. 175–178 (2000).

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Equations (6)

Equations on this page are rendered with MathJax. Learn more.

a f x + b f y + f t = 0 .
a f xx + b f xy = − f xt
a f xy + b f yy = − f yt
a f xt + b f yt = − f tt
a = − ( f xt f yy − f yt f xy ) ( f xx f yy − f xy f xy )
b = − ( f xx f yt − f xy f xt ) ( f xx f yy − f xy f xy )

Metrics