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Bio-medical Ontologies Maintenance and Change Management

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Multimedia Medical Databases 95<br />

The Saturation describes the intensity of the color. If the saturation is 0 (center<br />

of the cylinder), the color has no intensity (there is a grey color). The maximum<br />

value of the saturation (to the border of the cylinder) gives a maximum intensity of<br />

the color.<br />

The long axis represents the Value, the brightness of the color. The 0 value for<br />

this component means the lack of light, resulting black <strong>and</strong> the maximum value<br />

gives the maximum brightness of the color.<br />

The transformation from RGB to HSV is non-linear but it is easy reversible.<br />

The HSV color space is natural <strong>and</strong> approximately uniform from the perceptual<br />

point of view. That is why it can be defined a quantization Q c of the HSV color<br />

space that produce a compact <strong>and</strong> complete collection of colors.<br />

The transformation from RGB to HSV is done using the following equations<br />

[84, 85, 87, 86]:<br />

v c = (r, g, b) represents a color point in the RGB color space;<br />

w c = (h, s, v) represents the color point transformed to HSV, with w c =T c (v c ).<br />

For r, g, b ∈ [0…1], then the transformation gives h, s, v ∈ [0…1] that:<br />

Let:<br />

v = max( r,<br />

g,<br />

b)<br />

v − min( r,<br />

b,<br />

g)<br />

s =<br />

v<br />

v − r<br />

r'=<br />

v − min( r,<br />

b,<br />

g)<br />

v − g<br />

g'=<br />

v − min( r,<br />

b,<br />

g)<br />

v − b<br />

b'=<br />

v − min( r,<br />

b,<br />

g)<br />

ßh=5 + b' if r = max(r,g,b) <strong>and</strong> g = min(r,b,g)<br />

ßh=1 – g' if r = max(r,g,b) <strong>and</strong> g ≠ min(r,b,g)<br />

ßh=1 + r' if g = max(r,g,b) <strong>and</strong> b = min(r,b,g)<br />

ßh=3 – b' if g = max(r,g,b) <strong>and</strong> b ≠ min(r,b,g)<br />

ßh=3 + g' if b = max(r,g,b) <strong>and</strong> r = min(r,b,g)<br />

ßh=5 – r' otherwise<br />

(3.10)<br />

(3.11)<br />

The characteristics of this color space are [29]: device dependent, not perceptual<br />

uniform, intuitive, nonlinear transformation.<br />

H is dependent on the color of the illumination, S is dependent on highlights<br />

<strong>and</strong> changes in the color of the illumination <strong>and</strong> V is dependent on viewing direction,<br />

object geometry, direction, intensity <strong>and</strong> color of the illumination.<br />

3.4.7 l1l2l3 Color System<br />

Gevers <strong>and</strong> Smeulders proposed a new color system l1l2l3 uniquely determining<br />

the direction of the triangular color plane in RGB-space. The transformation is<br />

[28, 80]:

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