Analysis, synthesis, and rearrangement of 3D images by using multiview wavelets.

Multiview wavelets were designed to process images in autostereoscopic multiview three-dimensional (3D) displays. The structure of the proposed wavelets directly corresponds to the structure of the multiview image; the wavelets are made up of rectangular pulses. We demonstrated the analysis, synthesis, and rearrangement of 3D multiview images with the continuous wavelet transform, direct and inverse.

Moiré effect in multilayered 3D lattice.

The moiré effect was observed in a multilayered three-dimensional (3D) structure with voxels at the points of a simple cubic lattice. Visual corridors result from the moiré effect. The frontal camera's corridors appear at distinctive angles with rational tangents.

Static moiré patterns in moving grids.

We describe an optical phenomenon of unmovable moiré patterns in sliding (moving) grids and gratings. The phenomenon was observed visually in the planar straight movement of the black-and-white gratings with a period of several mm. This is a velocity-independent effect confirmed analytically and in a computer simulation based on the spatial averaging.

Moiré patterns in non-parallel surfaces such as wedge.

The moiré effect in 3D objects with planar facets is considered. The projected period of the inclined periodic grating was found. The formula for the period of the moiré patterns in inclined plain surfaces was obtained for objects with arbitrary oriented plain facets, namely, the parallelepiped and the prism (parallel and non-parallel facets).

Analysis of autostereoscopic three-dimensional images using multiview wavelets.

We propose that multiview wavelets can be used in processing multiview images. The reference functions for the synthesis/analysis of multiview images are described. The synthesized binary images were observed experimentally as three-dimensional visual images.

Maximum and minimum amplitudes of the moiré patterns in one- and two-dimensional binary gratings in relation to the opening ratio.

The amplitude of the moiré patterns is estimated in relation to the opening ratio in line gratings and square grids. The theory is developed; the experimental measurements are performed. The minimum and the maximum of the amplitude are found.

Probability of the moiré effect in barrier and lenticular autostereoscopic 3D displays.

The probability of the moiré effect in LCD displays is estimated as a function of angle based on the experimental data; a theoretical function (node spacing) is proposed basing on the distance between nodes. Both functions are close to each other. The connection between the probability of the moiré effect and the Thomae's function is also found.

Experimental observation of moiré angles in parallax barrier 3D displays.

Angles of visible moiré patterns are observed experimentally. Experiments were made across the angular range 0 - 90° in a wide range of parameters. Two kinds of clusterization were observed, ray and discrete.

Theoretical estimation of moiré effect using spectral trajectories.

Equations for spectral peaks and trajectories are found for N superposed one-dimensional gratings. The equations of trajectories are represented using the complex numbers. The number of geometric elements in the spectrum is found under various conditions and in the matrix form.

Simulation and measurement of moiré patterns at finite distance.

The moiré effect was considered at a finite distance. Formulas for the wavenumber and phase of the visible moiré patterns were found with displacements of the observer and of gratings taken into account. The computer simulation and physical experiment confirm the theory.