ABSTRACT

CONTENTS 1.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 A Brief Note on MRA Data Acquisition and Prefiltering . . . . . . . . . . . . . 13 1.3 Non-Skeleton (Direct) Vascular Segmentation Techniques . . . . . . . . . . . 22 1.4 Skeleton (Indirect) Vascular Segmentation Techniques . . . . . . . . . . . . . . . 40 1.5 Discussions of Skeleton-Based vs. Non-Skeleton-Based Methods . . . . 45 1.6 Challenges, the Future, and Summary: Vascular Segmentation . . . . . . 51 Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53

Vascular diseases are one of the major sources of deaths in the United States. A report [1] states that “Aneurysm rupture is not a rare occurrence as evidenced by the fact that this event currently ranks thirteenth on the list for leading causes of death in the U.S.A.” Also, this report [1] says that “Chronic venous insufficiency is a common problem in the U.S., affecting approximately 5% of the general population. It is estimated that half a million patients suffer from ulceration of the lower extremity as a result of longstanding venous disease.” This report raises the importance of research needed in the area of angiography, the branch of medicine that deals with veins and arteries. In the field of cerebrovascular diseases [1], “Ischemic and hemorrhagic stroke account for one of the principal causes of death and disability in older aged population. In fact, stroke currently ranks third on the list of leading causes of death in the United States (see also [2-5]).