This paper presents a new variational method for the segmentation of a movi
ng object against a still background, over a sequence of [two-dimensional o
r three-dimensional (3-D)] image frames. The method is illustrated in appli
cation to myocardial gated single photon emission computed tomography (SPEC
T) data, and incorporates a level set framework to handle topological chang
es while providing closed boundaries.
The key innovation is the introduction of a geometrical constraint into the
derivation of the Euler-Lagrange equations, such that the segmentation of
each individual frame can be interpreted as a closed boundary of an object
(an isolevel of a set of hyper-surfaces) while integrating information over
the entire sequence. This results in the definition of an evolution veloci
ty normal to the object boundary. Applying this method to 3-D myocardial ga
ted SPECT sequences, the left ventricle endocardial and epicardial limits c
an be computed in each frame.
This space-time segmentation method was tested on simulated and clinical 3-
D myocardial gated SPECT sequences and the corresponding ejection fractions
were computed.