Visual Singularities

Cusp singularity on the apparent contour. This is stable.

Moving Cusp Video (169k)

`Beaks' transition where the view direction is asymptotic at a parabolic point of the surface.

`Lips' transition where the view direction is asymptotic at a parabolic point of the surface.

`Swallowtail' transition where the view direction is asymptotic and has an extra point of contact.