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Influence of the Processes Parameters on the Properties of The ...

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Chapter 3.<br />

Analytical Methods and Designs <str<strong>on</strong>g>of</str<strong>on</strong>g> Experiments<br />

Figure 3.14: Schematic representati<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> interacti<strong>on</strong>s beam <strong>on</strong> specimen surface.<br />

5.2.1 Bases <str<strong>on</strong>g>of</str<strong>on</strong>g> Image Analysis<br />

SCION ® Image was originally developed for <str<strong>on</strong>g>the</str<strong>on</strong>g> Nati<strong>on</strong>al Institutes <str<strong>on</strong>g>of</str<strong>on</strong>g> Health, a federal<br />

government agency. Basic image properties like c<strong>on</strong>trast, brightness and gamma can be optimized. For<br />

particle analysis <str<strong>on</strong>g>the</str<strong>on</strong>g> most important property is <str<strong>on</strong>g>the</str<strong>on</strong>g> grey level <str<strong>on</strong>g>of</str<strong>on</strong>g> <str<strong>on</strong>g>the</str<strong>on</strong>g> image which can be segmented to<br />

reduce different shades [Niemistö, 2006].<br />

Segmentati<strong>on</strong> means <str<strong>on</strong>g>the</str<strong>on</strong>g> separati<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> different parts <str<strong>on</strong>g>of</str<strong>on</strong>g> <str<strong>on</strong>g>the</str<strong>on</strong>g> image; a foreground objects like<br />

particles from a background <str<strong>on</strong>g>of</str<strong>on</strong>g> image. In <str<strong>on</strong>g>the</str<strong>on</strong>g> pore size and shape analysis segmentati<strong>on</strong> has to be d<strong>on</strong>e with<br />

very high accuracy because <str<strong>on</strong>g>the</str<strong>on</strong>g> area <str<strong>on</strong>g>of</str<strong>on</strong>g> <str<strong>on</strong>g>the</str<strong>on</strong>g> particle is dependent <str<strong>on</strong>g>of</str<strong>on</strong>g> <str<strong>on</strong>g>the</str<strong>on</strong>g> accuracy <str<strong>on</strong>g>of</str<strong>on</strong>g> segmentati<strong>on</strong> and <str<strong>on</strong>g>the</str<strong>on</strong>g><br />

results <str<strong>on</strong>g>of</str<strong>on</strong>g> analysis have to be reliable [Niemistö, 2006]. Segmentati<strong>on</strong> can base <strong>on</strong> ei<str<strong>on</strong>g>the</str<strong>on</strong>g>r disc<strong>on</strong>tinuity or<br />

similarity <str<strong>on</strong>g>of</str<strong>on</strong>g> intensity values. Disc<strong>on</strong>tinuity methods find abrupt changes in <str<strong>on</strong>g>the</str<strong>on</strong>g> intensity and separate<br />

various regi<strong>on</strong>s <strong>on</strong> that way. Methods <str<strong>on</strong>g>of</str<strong>on</strong>g> similarity needs predefined criteria <str<strong>on</strong>g>of</str<strong>on</strong>g> <str<strong>on</strong>g>the</str<strong>on</strong>g> intensity value and<br />

separate regi<strong>on</strong>s based <strong>on</strong> that.<br />

Thresholding, clustering, regi<strong>on</strong> growing, regi<strong>on</strong> merging and regi<strong>on</strong> splitting are methods which<br />

are included in <str<strong>on</strong>g>the</str<strong>on</strong>g> category <str<strong>on</strong>g>of</str<strong>on</strong>g> similarity methods [Niemistö, 2006]. Thresholding is a central method <str<strong>on</strong>g>of</str<strong>on</strong>g><br />

segmentati<strong>on</strong> due to its simple and intuitive properties. It separates bright foreground objects <strong>on</strong> a dark<br />

background and can be defined as:<br />

(3.13)<br />

where f(x) = grey level <str<strong>on</strong>g>of</str<strong>on</strong>g> <str<strong>on</strong>g>the</str<strong>on</strong>g> point x, f T (x) = <str<strong>on</strong>g>the</str<strong>on</strong>g> respective point in <str<strong>on</strong>g>the</str<strong>on</strong>g> thresholded image and T<br />

is <str<strong>on</strong>g>the</str<strong>on</strong>g> threshold.<br />

If a pixel in f T gets value 1, it is called a foreground (or object point) and if it gets value 0, it is<br />

called a background. Threshold T can be <str<strong>on</strong>g>the</str<strong>on</strong>g> same for <str<strong>on</strong>g>the</str<strong>on</strong>g> whole image (global threshold) or <str<strong>on</strong>g>the</str<strong>on</strong>g>re can be<br />

different thresholds in different parts <str<strong>on</strong>g>of</str<strong>on</strong>g> <str<strong>on</strong>g>the</str<strong>on</strong>g> image (local threshold) [Niemistö, 2006]. <strong>The</strong> transiti<strong>on</strong> between<br />

<str<strong>on</strong>g>the</str<strong>on</strong>g> object point and <str<strong>on</strong>g>the</str<strong>on</strong>g> background may be so unsteady that a human can’t decide where <str<strong>on</strong>g>the</str<strong>on</strong>g> borders<br />

between <str<strong>on</strong>g>the</str<strong>on</strong>g> object and <str<strong>on</strong>g>the</str<strong>on</strong>g> background exactly go.<br />

Many papers are published <strong>on</strong> <str<strong>on</strong>g>the</str<strong>on</strong>g> automatic selecti<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> <str<strong>on</strong>g>the</str<strong>on</strong>g> threshold since 1960’s. <strong>The</strong> most<br />

comm<strong>on</strong>ly used method is created by Otsu [1979]. That method maximizes <str<strong>on</strong>g>the</str<strong>on</strong>g> class variance <str<strong>on</strong>g>of</str<strong>on</strong>g> <str<strong>on</strong>g>the</str<strong>on</strong>g> grey<br />

levels between <str<strong>on</strong>g>the</str<strong>on</strong>g> objects and <str<strong>on</strong>g>the</str<strong>on</strong>g> background and minimizes <str<strong>on</strong>g>the</str<strong>on</strong>g> intra-class variance. Usually threshold is<br />

selected from a histogram <str<strong>on</strong>g>of</str<strong>on</strong>g> <str<strong>on</strong>g>the</str<strong>on</strong>g> image. If <str<strong>on</strong>g>the</str<strong>on</strong>g> histogram is bimodal threshold should be selected between <str<strong>on</strong>g>the</str<strong>on</strong>g><br />

modes because supposedly a <strong>on</strong>e mode represents <str<strong>on</strong>g>the</str<strong>on</strong>g> foreground and <str<strong>on</strong>g>the</str<strong>on</strong>g> o<str<strong>on</strong>g>the</str<strong>on</strong>g>r <strong>on</strong>e represents <str<strong>on</strong>g>the</str<strong>on</strong>g><br />

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