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Motion Field and Optical Flow

Motion Field and Optical Flow. Outline. Motion Field and Optical Flow Definition, Example, Relation Optical Flow Constraint Equation Assumptions & Derivation, Related Problems Space-Time Diagram Definition, Example. Motion Field.

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Motion Field and Optical Flow

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  1. Motion Field and Optical Flow

  2. Outline • Motion Field and Optical Flow • Definition, Example, Relation • Optical Flow Constraint Equation • Assumptions & Derivation, Related Problems • Space-Time Diagram • Definition, Example

  3. Motion Field Projection of the 3-D velocity field on the 2-D image plane.

  4. Optical Flow Apparent motion of the brightness pattern in the image.

  5. Optical Flow Motion Field

  6. Optical Flow Constraint Equation • 1. Assumptions • uniform illumination • Lambertian surface reflectance • translation // image plane

  7. Optical Flow Constraint Equation 2. Equation Derivation

  8. OFCE: Correspondence Problem

  9. OFCE: Aperture Problem

  10. OFCE: Smoothness Restraints • Small gradient of the optical flow ( Es ) • Small error in OFCE ( Ec ) • Objective : minimize ( Es + k Ec )

  11. Space-Time Diagram

  12. Space-Time Diagram

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