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. By modifying wavelet coefficients, we made transformed (rearranged) 3D images (the rotation, the dimension of the parallax, the inverse depth, and the threshold). The visual 3D images confirm the correctness of processing and rearrangements. The simple structure of the proposed wavelets facilitates their practical application. The proposed technique can be applied to various (multiview/integral/light-field/plenoptic) 3D images.