Mathematical Techniques for Image Processing - Applications in Medical Imaging

Medical image processing plays a vital role in disease detection, particularly for conditions such as tumors. This research explores key mathematical techniques—such as geometric partial differential equations, image segmentation, registration, and smoothing—that form the foundation of modern medical image analysis. These techniques enable efficient tumor localization and classification, especially in MRI data. We demonstrate how these methods improve accuracy, reduce manual labor, and pave the way for intelligent diagnostic systems.