3D zigzag for multislicing, multiband and video processing

TL;DR

This paper introduces a novel 3D zigzag rafter technique for accurately extracting spectral components after 3D DCT, applicable to video, multislicing, and hyperspectral imagery, with accompanying MATLAB code.

Contribution

It presents the first 3D zigzag rafter method for spectral component extraction in 3D DCT applications, including a new version of the 2D zigzag for rectangular blocks.

Findings

Enables exact spectral component retrieval in 3D DCT applications

Provides a new 2D zigzag version for rectangular blocks

Includes MATLAB implementation for practical use

Abstract

We present a 3D zigzag rafter (first in literature) which allows us to obtain the exact sequence of spectral components after application of Discrete Cosine Transform 3D (DCT-2D) over a cube. Such cube represents part of a video or eventually a group of images such as multislicing (e.g., Magnetic Resonance or Computed Tomography imaging) and multi or hyperspectral imagery (optical satellites). Besides, we present a new version of the traditional 2D zigzag, including the case of rectangular blocks. Finally, all the attached code is done in MATLAB, and that code serves both blocks of pixels or blocks of blocks.