Optic flow from dynamic anchor point attributes

a feasibility study

Bart Janssen

Optic Flow• Medical Image Registration

• Video Processing / Coding

• Robotics

The notion of scale:Objects live at different scales

Solution?Look at all scales

simultaniously

Scale Space in Human Vision

• The human visual system is a multi-scale sampling device

• The retina contains receptive fields; groups of receptors assembled in such a way that they form a set of apertures of widely varying size.

Gaussian Scale SpaceScale

x

y

The Aperture problem:Constant brightness assumption is insufficient

The Aperture problem:Constant brightness assumption is insufficient

Solution?Use points were the apperture problem is

non-existent

Proposed Method

Outline

• Introduction• Anchor Points• Stationary Reconstruction• Flow Reconstruction

Anchor pointsSingular Points of a

Gaussian scale space image

Fold catastrophe

Static PropertiesDifferential structure at the location of a Singular Point by innerproduct of theimage with derivatives of the Gaussian

Dynamic Properties

Outline

• Introduction• Anchor Points• Stationary Reconstruction• Flow Reconstruction

Stationary reconstruction

Stationary reconstruction

Optic flow reconstruction

Conclusions

Differential Structure

Error Measure