I am looking at automating the focus of electron microscopes at work? I need a VB.Net programmer with a background in mathematics to implement an algorithm to provide the Half Flux Diameter (HFD) and Full Width Half Maximum (FWHM) of an object in a given digital image. This project requires someone with mathematic background. ## Deliverables I am looking at automating the focus of electron microscopes at work I need a VB.Net programmer with a background in mathematics to implement an algorithm to provide the Half Flux Diameter (HFD) and Full Width Half Maximum (FWHM) of an object in a given digital image. **Half Flux Diameter (HFD) is defined as:** The diameter of circle where total of brightness value of pixels inside it is equal outside pixel's.

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You can read up on the calculations for HFD Here: The HFD Measurement Algorithm is performed by the following steps: 1.????? Subtract the background level from the image? Find the centroid of the object by a simple weighted averages method? Determine the radius of each pixel in the object from the centroid? Sort the pixels in order of increasing radius? Generate an integral of the pixel flux along the diameter (= 2 X radius) dimension.??

Determine the Half Flux Diameter from this integral, which is simply the diameter where the integrated flux is half of the full object flux.?? This process as is applies to auto focusing of stars is described here: Don’t get hung about abut all the auto focus details in here, its just useful to see how the HFD is measured and used.? The descriptions of these solutions implement this functionality as applicable to calculating the HFD of a star.

This will make no difference in the implementation. The same principles will apply to auto focus of luminous particles in an electron microscope.??? I do not suggest you even bother bidding unless you have read the information in the 2 hyperlinks above and feel you understand them and the mathematics behind the calculations you need to perform.? The program must implement this functionality as a Class Object.? The inputs to this class will be a Bitmap Object (GIF, BMP or JPG)? Somewhere on this image will be a single bright object against a dark background.? The program must locate the centroid of this bright spot and then update a number of class properties associated with this bright spot.?

The output properties required are:? * Centroid X,Y co ordinates * HFD (Half Flux Diameter) * Full Width Half Maximum (FWHM) * Brightness at centroid * V Diameter of object at centroid position * H Diameter of object at centroid position * X Cross Section * Y Cross Section? **Centroid X,Y co ordinates** This is the X and Y co ordinate position of the centre of the bright object.? **HFD** This is the half flux diameter of the bright object located at the centroid position.

See links below for explanation of HFD and?? **FWHM** This is the full width Half Maximum of the bright object located at the centroid. I.e the width of the object at half its maximum brightness. See links below for more details? **Brightness at centroid** This is the peak brightness value of the pixel located at the centroid. It’s a number between 0 and 255 representing the grayscale value of the object at centroid. **V Diameter of object at centroid** If you drew a line through the centroid of the object on the Y axis, the Vertical Diameter is the height of the object at this point.?

**H Diameter of object at centroid** If you drew a line through the centroid of the object on the X axis, the Horizontal Diameter is the width of the object at this point.? **X Cross Section** An array of pixels that make up the Horizontal Diameter of the object. If H Diameter property of the object returned 10. 10 pixels wide, then the X Cross section array would contain the 10 pixels that make up this diameter. Each array item would have pixel x, y value and Brightness expressed as Integer between 0 and 255.?