Multidimensional Wavelets for Scalable Image Decomposition: Orbital Wavelets
Signal Processing
2020-10-02 v1 Computer Vision and Pattern Recognition
Image and Video Processing
Abstract
Wavelets are closely related to the Schr\"odinger's wave functions and the interpretation of Born. Similarly to the appearance of atomic orbital, it is proposed to combine anti-symmetric wavelets into orbital wavelets. The proposed approach allows the increase of the dimension of wavelets through this process. New orbital 2D-wavelets are introduced for the decomposition of still images, showing that it is possible to perform an analysis simultaneous in two distinct scales. An example of such an image analysis is shown.
Keywords
Cite
@article{arxiv.2006.07920,
title = {Multidimensional Wavelets for Scalable Image Decomposition: Orbital Wavelets},
author = {H. M. de Oliveira and V. V. Vermehren and R. J. Cintra},
journal= {arXiv preprint arXiv:2006.07920},
year = {2020}
}
Comments
Fixed typo in Figure 2(b) and Figure 3(b); 9 pages, 4 figures. International Journal of Wavelets, Multiresolution and Information Processing, 2020