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Bio-medical Ontologies Maintenance and Change Management

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Multimedia Medical Databases 109<br />

In [108] are specified two main approaches for texture description:<br />

• Descriptive approach- derives a quantitative description of a texture in terms<br />

of a manageable set of feature measures<br />

• Generic approach - creates a geometric or a probability model for texture description<br />

Further, the descriptive approach can be divided into statistical <strong>and</strong> spectral<br />

methods, because of the techniques used in feature extraction [108].<br />

Statistical methods use as feature descriptors the image signal statistics from<br />

the spatial domain. The most commonly applied statistics are: 1D histograms,<br />

moments, grey-level co-occurrence matrices (GLCM), etc [108]. Usually lowerorder<br />

image statistics, particularly first- <strong>and</strong> second-order statistics, are used in<br />

texture analysis. First-order statistics (the mean, st<strong>and</strong>ard deviation <strong>and</strong> higherorder<br />

moments of the histogram) work with properties of individual pixels.<br />

Second-order statistics also account for the spatial inter-dependency or cooccurrence<br />

of two pixels at specific relative positions. Grey level co-occurrence<br />

matrices [39], grey level differences [104], autocorrelation function, <strong>and</strong> local<br />

binary pattern operator [72] are the most commonly applied second-order statistics<br />

for texture description. Higher than second-order statistical features have also<br />

been investigated in [27, 99], but the computational complexity increases<br />

exponentially with the order of statistics. The Haralick features [39] derived from<br />

the GLCM, are one of the most popular feature set.<br />

Spectral methods work in the frequency domain where features are related to<br />

statistics of filter responses [108] <strong>and</strong> there are several advantages. It was proved<br />

that a tuned b<strong>and</strong>pass filter bank resembles the structure of the neural receptive<br />

fields in the human visual system [17, 51]. This is the main motivation of spectral<br />

methods to extend feature extraction into the spatial frequency domain.<br />

In constructing filter bank, two-dimensional Gabor filters have been frequently<br />

used [45]. Recently, Leung <strong>and</strong> Malik identify textons (the cluster centres) as<br />

feature descriptors from filter responses of a stack of training images [58, 59] <strong>and</strong><br />

Konishi <strong>and</strong> Yuille proposed a Bayesian classifier based on the joint probability<br />

distribution of filter responses [49].<br />

Also, the generic approaches can be divided into syntactic <strong>and</strong> probability<br />

models [108].<br />

Syntactic models analyze the geometric structure of textures with the help of<br />

spatial analytical techniques [108]. The most important methods that belong to this<br />

type of models are fractal analysis <strong>and</strong> structural approach. A variety of fractal<br />

models have been proposed for modeling textures in natural scenes [75] <strong>and</strong> in<br />

<strong>medical</strong> imaging [12].<br />

Probability models generalize the feature based descriptive approach by<br />

deriving a probability model from the joint distribution of selected image features<br />

[108]. Markov-Gibbs r<strong>and</strong>om fields are the most successful probability models for<br />

texture analysis [31, 40, 107].

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