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

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References

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  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.

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]

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).

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Equations (6)

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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 )

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