April 2001

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3. The Geometric Field of Koenderink

• The structure of the geometric field around an object defines shape.
• Curvatures, singularities, gauge figures (probes)

Cyclide: a "croissant" shape (deformed torus).		Construction via confocals.

4. Shape is also Measure and Perception

• Shape is a property of both the object and the probing method.

Probing via cuts gives us a regional approximation to curvature: i.e., the gauge figure.

Regional curvature map.	Ridge and valley following.

• Shape is also dependent on the expectations (models, theories).

Necker's cube                                                                                 The rabit/duck percept.

More illusions .... here

..... Space, probes, percept.

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