Enhanced multimodal medical image fusion based on Pythagorean fuzzy set: an innovative approach

Abstract Medical image fusion is the process of combining a multi-modality image into a single output image for superior information and a better visual appearance without any vagueness or uncertainties. It is suitable for better diagnosis. Pythagorean fuzzy set (PFS)-based medical image fusion was proposed in this manuscript. In the first phase, a two-scale gaussian filter was used to decompose the source images into base and detail layers. In the second phase, a spatial frequency (SF)-based fusion rule was employed for detail layers to preserve the more edge-oriented details. However, the base layer images were converted into pythagorean fuzzy images (PFIs) using the optimum value obtained by pythagorean fuzzy entropy (PFE). The blackness and whiteness count fusion rule were performed for image blocks decomposed from two PFIs in the third phase. Finally, the enhanced fused image was obtained by reconstructions of fused PFI blocks, which performed the defuzzification process. The proposed method was evaluated on different datasets for disease diagnosis and achieved better mean (M), standard deviation (SD), average gradient (AG), SF, modified spatial frequency (MSF), mutual information (MI), and fusion symmetry (FS) values than compared to state-of-art methods. This advancement is important in the field of healthcare and medical imaging, including enhanced diagnostics and treatment planning