Abstract
A 3D deformable model is introduced which evolves in true 3D
images, under the action of internal forces (describing some elasticity
properties of the surface), and external forces attracting the surface
toward some detected edges. The formalism leads to the minimization of
an energy which is expressed as a functional. The authors use a
variational approach and a finite-element method to express the surface
in a discrete basis of continuous functions. This leads to a reduced
computational complexity and a better numerical stability. The power of
the approach to segment 3D images is demonstrated by a set of
experimental results on various complex medical 3D images
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