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Motion in Computer Vision

Motion in Computer Vision. E. Scott Larsen October 29, 2001 Comp 256. Motion in Computer Vision. The Primary Assumption The BCCE Space-time Images Examples The Aperture Problem The Correspondence Problem (again!) Optical Flow. The Primary Assumption.

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Motion in Computer Vision

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  1. Motion in Computer Vision E. Scott Larsen October 29, 2001 Comp 256

  2. Motion in Computer Vision • The Primary Assumption • The BCCE • Space-time Images • Examples • The Aperture Problem • The Correspondence Problem (again!) • Optical Flow

  3. The Primary Assumption • Observed brightness of any object is constant over time [2] • Motion and gray value changes correspond to each other [1] (in gray images)

  4. The BCCE BCCE: Brightness Change Constraint Equation

  5. Space-time Images

  6. Examples

  7. Examples

  8. Examples

  9. Examples

  10. Examples

  11. Examples

  12. Conclusion From the Examples • The Primary Assumption is not always valid (we already knew that) • But… there are other issues also…

  13. The Aperture Problem From left to right, the line appears to have moved in the direction indicated. But…

  14. The Aperture Problem …We open our eyes a little farther, and find that we were wrong.

  15. The Correspondence Problem The grand-pappy of vision problems attacks again!

  16. Optical Flow • “The optical flow is a vector field subject to the BCCE, and is loosely defined as the apparent motion of the image brightness pattern.”[3] • It originates from fluid dynamics. [1] • It is not the same as the motion field: “projection of 3-D physical motion field by the optics onto the image plane.” [1]

  17. Summary • The primary assumption is that image changes and motion directly correspond to each other • Point–point correspondences are required Motion is currently much more useful than I suggest, and there is much room for original investigation.

  18. References • [1] Jähne B., Digital Image Processing, 1997, Springer-Verlag • [2] Sonka M., V. Hlavac and R. Boyle, Image Processing, Analysis, and Machine Vision, 1999, Brooks/Cole • [3] Trucco E., and A. Verri, Introductory Techniques for 3-D Computer Vision, 1998, Prentice-Hall

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