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Bio-medical Ontologies Maintenance and Change Management

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Multimedia Medical Databases 123<br />

A simple classifier is the nearest-neighbor classifier, where each pixel or voxel<br />

is classified in the same class as the training data with the closest intensity. The knearest-neighbor<br />

(kNN) classifier is a generalization of this approach, where the<br />

pixel is classified according to the majority vote of the k-closest training data [76].<br />

Classifier methods have some advantages: are relatively computationally efficient<br />

<strong>and</strong> can be applied to multi-channel images.<br />

The disadvantages are:<br />

• They generally do not perform any spatial modeling<br />

• The requirement of manual interaction for obtaining training data; training sets<br />

can be acquired for each image that requires segmenting, but this can be time<br />

consuming <strong>and</strong> laborious.<br />

• Using of the same training set for a large number of scans can lead to results<br />

which do not take into account anatomical <strong>and</strong> physiological variability between<br />

different subjects.<br />

Clustering algorithms work as classifier methods but they don’t use training<br />

data. As a result they are called unsupervised methods. Because there isn’t any<br />

training data, clustering methods iterate between segmenting the image <strong>and</strong> characterizing<br />

the properties of the each class. It can be said that clustering methods<br />

train themselves using the available data [76]. The next three commonly used<br />

clustering algorithms must be mentioned:<br />

• K-means or ISODATA algorithm (clusters data by iteratively computing a<br />

mean intensity for each class <strong>and</strong> segmenting the image by classifying each<br />

pixel in the class with the closest mean)<br />

• The fuzzy c-means algorithm (it is a generalization of the K-means algorithm;<br />

it is based on fuzzy set theory)<br />

• The expectation-maximization (EM) algorithm (works with the same clustering<br />

principles <strong>and</strong> is based on the assumption that the data follows a Gaussian mixture<br />

model) [3, 10]<br />

These algorithms have the following disadvantages: they require an initial<br />

segmentation <strong>and</strong> do not directly incorporate spatial modeling <strong>and</strong> can therefore<br />

be sensitive to noise <strong>and</strong> intensity in homogeneities.<br />

Markov r<strong>and</strong>om field (MRF) is a statistical model that can be used within segmentation<br />

methods. For example, MRFs are often incorporated into clustering<br />

segmentation algorithms such as the K - means algorithm under a Bayesian prior<br />

model. MRFs model spatial interactions between neighboring or nearby pixels. In<br />

<strong>medical</strong> imaging, they are typically used to take into account the fact that most<br />

pixels belong to the same class as their neighboring pixels. In physical terms, this<br />

implies that any anatomical structure that consists of only one pixel has a very low<br />

probability of occurring under a MRF assumption [76].<br />

The disadvantages are:<br />

• Proper selection of the parameters controlling the strength of spatial interactions<br />

is necessary<br />

• Usually require computationally intensive algorithms

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