For segmenting the blood vessels we have used a deform able model based approach known as Active contours. This model is more generic and robust as it's performance is unaffected by the blood vessels inheriting properties such as vessel crossing and branching and Central Vessel Reflex problem. It also provides the details of the vessel widths and is having greater scope to develop.
Active contour model represents an object boundary or some other salient image features as a parametric curve (which is referred as snake).
An Energy function E is associated with the snake is defined as the sum of
- Internal energy
- External energy
- Image forces
The problem of finding object boundary is cast as an energy minimization problem. Internal energies give the model tension and stiffness whereas External energies come from high-level sources such as human operators or automatic initialisation procedures. Image energy is used to drive the model towards salient features such as light and dark regions, edges, and terminations.
The configuration of the snake is driven by the negative energy gradients which are referred as the forces. Using of Gradient Vector Flow method to determine
the energy forces reduces the probability of falling into local minima. Active contour model for the segmentation of blood vessels doesn’t include internal energy
as the vessel shape is highly torturous. So far three external energies affecting the snake were considered which are
- Edge distance energy: Edge distance energy helps the snake advance of nodes close to vessel boundaries but it also stops them when they reach a minimum, that is, when they reach an edge point
- Crease distance energy: It corresponds to the creases distance energy that drives the snake along the arteriovenous structure and blocks it if a maximum distance threshold is reached. and
- Inflation force: It is a force without energy term and is the strongest expansion force which expands the snake subject to certain constraints. It is calculated once the snake has been initialized.