Satinder Pal Kaur
Over the past several decades advanced mathematics has implied itself into many facets of our day-to-day life. Mathematics is at the heart of all technologies. Arguably no technology has had a more positive and profound effect on our lives than medical imaging, and in no technology is the role of mathematics more pronounced or less appreciated. Biomedical imaging is very important for life sciences and health care. Many of the innovations in biomedical imaging are fundamentally related to the mathematical sciences. There are various imaging techniques which have simply transformed the practise of medicine and enabled a non-invasive diagnosis and surgical planning to guide surgery, biopsy and radiation therapy. This paper presents an overview on the development of various mathematical models, algorithms which are beneficial in imaging techniques such as Ultrasound, Computed Tomography (CT), Magnetic Resonance Imaging (MRI), Positron Emission Tomography (PET) and Single Photon Emission Computed Tomography (SPECT). A number of reconstruction algorithms have been studied with the help of various numerical techniques to serve the purpose. The paper presents an insightful observation into the emerging topics in this important interdisciplinary field.
