Mesh free alternate directional implicit method based three dimensional super-diffusive model for benign brain tumor segmentation

Abstract

The brain tumor is one of the life-threatening diseases. It has been classified into the malignant and benign brain tumor. Benign tumor cells have very similar characteristics to its surrounding healthy cells. Hence, its accurate detection and segmentation are one of the difficult and challenging tasks. Existing state-of-the-art methods used for detection and segmentation of such tumor cells are unable to locate such benign tumor region. In this manuscript, a novel fractional partial differential equation (FPDE) based super-diffusive models is being proposed. The fractional nature enables to detect and segment such low variational of benign brain tumor region more accurately. It is also found that these partial differential models are computationally inefficient due to dependence on the mesh. Hence, the FPDE is being solved using the mesh-free method. Both qualitative and quantitative evaluation has been done. It is found that the proposed model is superior in benign brain tumor detection and segmentation.