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