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Marco Brugnara marco. This code has been written by Marco Brugnara and itos based on the plug-in "Pointpicker". The necessity to have a self-developed software comes by considering that commercial softwares do not provide a sufficient enough description of the methods used in their contact angle calculation.

In fact people often perform contact angle measurements, by applying the sphere approximation, neglecting in this way the gravity effect, or by calculating the tangent of the profile without limit the drop volume.

In our experience, confirmed by the Literature as well, the maximum volume, whose profile as a sphere shape, j contact com about microlitres; it depends on the contact angle as well. For bigger drops the other possible approaches are 2: to use some "correction factors", present in Literature, or to apply another model called ADSA, which in fact calculates the angle applying on the profile the Laplace equation.

This last model works really well on profiles strongly modified by the gravity, instead it has some trouble by solving the equation if the drop has an j contact com spherical profile, j contact com. It is important to underline that in many commercial packages coming with the devices, it is often present another approach called in general "tangent line" which calculates the tangent of a fitting curve of the drop profile near the triphase line.

This approach is a least debatable, if the best-fit function is polynomial equation, j contact com, chosen only for its low chi square, but without any physical meaning. Then way to analyze images can furnish precise results, which are however meaningless if the drop volume is too large: in fact the contact angle is not the geometrical angle if this last one is modified by other forces than surface tension, j contact com.

In fact if the shape depends significantly on the gravity force, j contact com, the resulting angle is not a value of contact angle as defined in Theory, but just an angle depending on the gravity. It is a pity that who develops these programs, most of the times does not know the Literature. In our plug-in the image analysis works offline; it means that an image database is required. After a picture is loaded, the drop profile is detected.

It is important to remind that the program was written supposing the drop is upside down. For j contact com reason the plug-in could fail if the triphase line is not a straight line. In the PlugIn Preferences menu the user finds the option "boundary conditions" where one can include or exclude one or both of these points in the drop profile. Other 3 points are then j contact com along the drop profile in order to identify a ROI.

In order to calculate to contact j contact com, four different options are possible: a Manual points selection a measurement by using a circle best-fit a measurement by using an ellipse best-fit an analysis by applying both bestfits When the manual points selection is chosen, the user need to detect the profile manually placing some points along the drop edge.

The circle and the ellipse passing trough the points are reckoned. The best-fit analysis automatically detects the drop profile; for this reason a very well defined picture is required. The user has the possibility to modify the threshold in order to exclude the main part of the background. After these points are automatically collected a best fit procedure of a circle or an ellipse or both can be applied. It is important to point out that an ellipse best-fit analysis poses itself between the circle best fit which has a physical meaning and an absolute best-bit function.

Some times can happen that the drop is not perfectly symmetric, or that there is a slight effect of the gravity. In this case an almost-circle analysis can provide useful results. Our plug-in is completely open source and in a constant developing and there are still many things to improve. For instance many error controls are not implemented yet, so if points are chosen in the wrong sequence, the user just obtains meaningless results.

A sample image is j contact com.


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