There are two different sources of information in relaxation labeling processes: the initial certainty factors of the labels and the compatibility coefficients. In this paper we examine two ways in which the compatibi...
There are two different sources of information in relaxation labeling processes: the initial certainty factors of the labels and the compatibility coefficients. In this paper we examine two ways in which the compatibility coefficients influence the fixed point achieved: (1) we demonstrate how the coefficients can bias the process toward the instantiation of a subset of the labels, and (2) we show how the coefficients precisely define the set of possible fixed points. We also indicate how eigenanalysis of the derivative of a relaxation labeling process at a fixed point can be used to study the stability of the fixed point. Finally, we present an empirical comparison of two statistical interpretations of the compatibility coefficients.
The aortic vessel tree, composed of the aorta and its branches, is crucial for blood supply to the body. Aortic diseases, such as aneurysms and dissections, can lead to life-threatening ruptures, often requiring open ...
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The aortic vessel tree, composed of the aorta and its branches, is crucial for blood supply to the body. Aortic diseases, such as aneurysms and dissections, can lead to life-threatening ruptures, often requiring open surgery. Therefore, patients commonly undergo treatment under constant monitoring, which requires regular inspections of the vessels through medical imaging techniques. Overlapping and comparing aortic vessel tree geometries from consecutive images allows for tracking changes in both the aorta and its branches. Manual reconstruction of the vessel tree is time-consuming and impractical in clinical settings. In contrast, automatic or semi-automatic segmentation algorithms can perform this task much faster, making them suitable for routine clinical use. This paper systematically reviews methods for the automatic and semi-automatic segmentation of the aortic vessel tree, concluding with a discussion on their clinical applicability, the current research landscape, and ongoing challenges.
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