Furthermore, each vessel has a unique curvature and torsion and a variable radius, which together create a complex geometry.Ĭurrently, most clinicians only use cerebrovascular volume data for visualization. The vessels in the CoW are connected and twisted together, resulting in a complex topology. A total of 83 variations in the CoW have been reported. For example, some vessels may be duplicated, hypoplastic, or missing completely. Reports suggested a certain amount of variation in both the geometry and topology of the CoW. However, the small but definite risk of embolism and complications, such as pseudoaneurysms, contrast-associated reactions and vascular dissections. Time-of-flight(TOF) magnetic resonance angiography(MRA) via bright blood imaging is used to evaluate the intracranial vessels since this modality does not require invasive procedures such as catheter angiography. Currently, three-dimensional(3D) image of the cerebral vasculature can be acquired routinely using three different imaging modalities: X-ray 3D rotational angiography(3DRA), computed tomography angiography(CTA), and magnetic resonance angiography(MRA). Rapid advances in medical technology have led to the development of diagnostic tools for cerebrovascular diseases, based on imaging. This method was applicable to other tubular organs, such as the large intestine and bile duct. Our method was appropriate for the analysis of large medical image datasets derived from the automated pipeline for populations. The data verified the stability of our methodology. The distribution of the radii of symmetrical posterior cerebral artery(PCA) and angle values of the symmetrical posterior communicating arteries(PCo) demonstrated a certain correlation between the corresponding values of symmetrical vessels on the CoW. In addition to the torsion variance values in a few vessels, the variance values of all vessel characteristics remained near 1. The range of the curvature of all vessels was (0.3, 0.9) ± (0.1, 1.4). The anterior communicating artery(ACo) was the shortest vessel, with a length of 2.6mm. 47 in the open dataset) all values for different branches of CoW were calculated. The calculations used to derive these values were illustrated in detail. A B-spline curve was used to fit the skeleton, and geometric values were proposed for a one-dimensional skeleton and radius. The L1 medial axis method was applied to vessel volumetric data, which yielded a discrete skeleton dataset. The stochastic segmentation was improved and volumetric data were obtained. MethodĪn entire pipeline was designed with emphasis on automating each step. The current study aimed to provide a stable and consistent methodology for quantitative Circle of Willis (CoW) analysis and to identify geometric changes in this structure. Cerebrovascular shape analyses are essential for the diagnosis and pathological identification of these conditions. Interest is increasing toward understanding the geometric factors that influence cerebrovascular diseases, such as stroke. Cerebrovascular disease is the most common cause of death worldwide, with millions of deaths annually.
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