Three dimensional pictures for Thom’s parabolic umbilic

Aerial projection of three-dimensional motion pictures by electro-holography and parabolic mirrors

We demonstrate an aerial projection system for reconstructing 3D motion pictures based on holography. The system consists of an optical source, a spatial light modulator corresponding to a display and two parabolic mirrors. The spatial light modulator displays holograms calculated by computer and can reconstruct holographic motion pictures near the surface of the modulator. The two parabolic mi...

Three-dimensional pictures of molecular models--lysozyme.

The first three-dimensional pictures of molecular models using the full color Xograph@ technique suggest the value of such illustrations for conveying spatial impressions on the printed page without the use of auxiliary devices. Pictures of a space-filling model of lysozyme and its substrate, accompanied by discussiod of the mechanism of action in terms of active sites, are presented as an exam...

Three-dimensional rogue waves in nonstationary parabolic potentials.

Using symmetry analysis we systematically present a higher-dimensional similarity transformation reducing the (3+1) -dimensional inhomogeneous nonlinear Schrödinger (NLS) equation with variable coefficients and parabolic potential to the (1+1) -dimensional NLS equation with constant coefficients. This transformation allows us to relate certain class of localized exact solutions of the (3+1) -di...

Herbert King Thoms

Cortical dynamics of three-dimensional figure-ground perception of two-dimensional pictures.

This article develops the FACADE theory of 3-dimensional (3-D) vision and figure-ground separation to explain data concerning how 2-dimensional pictures give rise to 3-D percepts of occluding and occluded objects. The model describes how geometrical and contrastive properties of a picture can either cooperate or compete when forming the boundaries and surface representation that subserve consci...