I. Introduction
The ever-increasing utilization of advanced medical imaging techniques, such as computer tomography (CT) scans and magnetic resonance imaging (MRI), has led to a surge in the generation of volumetric medical image data. For instance, a single CT scan can produce a three-dimensional (3D) image of a patient’s body comprising dozens or even hundreds of two-dimensional (2D) slices at a 16-bit depth, resulting in a total data volume reaching hundreds of megabytes or even one gigabyte. These detailed volumetric images are indispensable for accurate diagnosis and effective treatment planning. However, their considerable size presents notable challenges for storage and transmission. Given these challenges, there is a clear need for efficient compression methods. While lossy compression techniques can achieve higher compression ratios, they risk introducing distortions that could compromise the diagnostic integrity of the images and potentially lead to medical errors. Consequently, lossless compression emerges as the preferred method for medical imaging, adhering to the strict requirements for maintaining data fidelity.