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Oliveira, Dário Augusto Borges; Feitosa, Raul Queiroz (Advisor). A Linear Programming Approach to Vascular Network Segmentation from a Single Seed Point. Rio de Janeiro, 2013. 79p. PhD Thesis — Department of Engenharia Elétrica, Pontifícia Universidade Católica do Rio de Janeiro. This thesis presents the development and results of this PhD project, which objective, multidisciplinary, was to develop a methodology and a tool for segmenting vascular networks from CT images, using automatic segmentation procedures and visualization of three-dimensional images data. The suggested methodology tracks a vascular network iteratively using a single starting point. The approach uses a conical sampling model composed of multiple concentric and ordered spherical layers. Each sampled point is evaluated using a measurement of vascularity proposed in this thesis, which seeks to identify points that belong to vessels. A directed graph is then built with the selected points and analyzed to find chains of connected points that make up pieces of branches of the vascular network. Each vascular segment found generates a new seed from which a new sampling is performed, and in this way the iterative procedure is repeated until the entire vascular structure is segmented. The methodology was tested using synthetic and real images. Among the real images several different vascular structures were segmented, such as coronary, carotid, hepatic, pulmonary and even a network of nerve fibers in the olfactory system. Vascular network topologies were also identified. The evaluation was quantitative where possible, although this type of data rarely provides a segmentation of reference, and apart from these cases the assessment was qualitative and visual. The results confirm the potential of the method and suggest directions for further developments.

A LINEAR PROGRAMMING APPROACH TO VASCULAR NETWORK SEGMENTATION FROM A SINGLE SEED POINT