The Application of Partial Differential Equations in Medical Image Processing

Abstract

Mathematical models are the foundation of biomedical computing. Partial Differential Equations (PDEs) in Medical Imaging is concerned with acquiring images of the body for research, diagnosis and treatment. Biomedical Image Processing and its influence has undergoing a revolution in the past decade. Image processing has become an important component in contemporary science and technology and has been an interdisciplinary research field attracting expertise from applied mathematics, biology, computer sciences, engineering, statistics, microscopy, radiologic sciences, physics, medicine and etc. Medical imaging equipment is taking on an increasingly critical role in healthcare as the industry strives to lower patient costs and achieve earlier disease prediction using noninvasive means. The subsections of medical imaging are categorized to two: Conventional (X-Ray and Ultrasound) and Computed (CT, MRI, fMRI, SPECT, PET and etc). This paper is organized as fallow: First section describes some kind of image processing. Second section is about techniques and requirements, and in the next sections th