Summary: VESSEL GEOMETRY MODELING AND SEGMENTATION USING CONVOLUTION
SURFACES AND AN IMPLICIT MEDIAL AXIS
Guillaume Pizaine1, 2
Elsa D. Angelini1
Medisys Research Lab, Philips Healthcare, Suresnes, France.
Institut Telecom, Telecom ParisTech, CNRS LTCI, Paris, France.
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