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Summary: VESSEL GEOMETRY MODELING AND SEGMENTATION USING CONVOLUTION
SURFACES AND AN IMPLICIT MEDIAL AXIS
Guillaume Pizaine1, 2
Elsa D. Angelini1
Isabelle Bloch1
Sherif Makram-Ebeid2
1
Medisys Research Lab, Philips Healthcare, Suresnes, France.
2
Institut Telecom, Telecom ParisTech, CNRS LTCI, Paris, France.
ABSTRACT
In the context of vessel tree structures segmentation with implicit
deformable models, we propose to exploit convolution surfaces to
introduce a novel variational formulation, robust to bifurcations, tan-
gential vessels and aneurysms. Vessels are represented by an implicit
function resulting from the convolution of the centerlines of the ves-
sels, modeled as a second implicit function, with localized kernels
of continuously-varying scales. The advantages of this coupled rep-
resentation are twofold. First, it allows for a joint determination of
the vessels centerlines and radii, with a single model relevant for
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