Novel hierarchical oriented prediction approach to resolution scalable lossless and near-lossless (NLS) compression. It joins the flexibility of DPCM plans with new various leveled arranged indicators to supply goals versatility with preferred pressure exhibitions over the standard progressive interjection indicator or the wavelet change. Medical images of CT scan and MRI images are preprocessed using speckle reducing anisotropic diffusion (SRAD). The proposed various leveled arranged forecast (HOP) isn't generally proficient on smooth pictures, so we introduce new predictors of HOP-LSE, HOP-LSE+, which are dynamically optimized employing a least-square criterion. The HOP algorithm is well suited for NLS compression and provides the high-resolution images. Here calculate the compression ratio using bits per pixel and peak signal to noise ratio. Finally, when compared those compression methods, we got the better compression ratio in HOP-LSE+.