Motion Field and Optical Flow. Outline Motion Field and Optical Flow Definition, Example, Relation Optical Flow Constraint Equation Assumptions & Derivation,

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Presentation transcript:

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

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

Optical Flow Motion Field

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

Optical Flow Constraint Equation 2.Equation Derivation

OFCE: Correspondence Problem

OFCE: Aperture Problem

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

Space-Time Diagram

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