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Carsten Killer

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University of Greifswald

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PhD student in the field of colloidal (dusty) plasmas

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18 Feb 2014 Screenshot Abel Inversion Algorithm Fourier-based reconstruction of an unknown radial distribution assuming cylindrical symmetry. Author: Carsten Killer image processing, signal processing, physics 75 33
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21 Jul 2014 Abel Inversion Algorithm Fourier-based reconstruction of an unknown radial distribution assuming cylindrical symmetry. Author: Carsten Killer

It is not necessary to figure out a function. Just use a row of your image (with the symmetry axis at the first element of the vector) as the first input of the main function ("h").

(the code works numerically (not analytically), e.g. the polynomial sample function in GENERATE_TEST_DATA is also discretized onto a grid and is not treated as an analytical function)

18 Jul 2014 Hough transform for circles A Hough transform function for detecting circles, optimised to allow search over radii. Author: David Young

Thank you, works great for me!

18 Jul 2014 Abel Inversion Algorithm Fourier-based reconstruction of an unknown radial distribution assuming cylindrical symmetry. Author: Carsten Killer

@Dimas Avila: The polynomial function is just an example given in the function GENERATE_TEST_DATA. (the result of this function is shown in the sample image at the top of this page). This function is only called if you do not provide input data.

The data vector that you want to perform the Abel inversion on is the first input variable in the main function. Please perform the Abel inversion for each row/column (depending on whether your symmertry axis is vertical or horizontal) of your image separately.

08 Jul 2014 Abel Inversion Algorithm Fourier-based reconstruction of an unknown radial distribution assuming cylindrical symmetry. Author: Carsten Killer

@Adnan: I don't see any way in which Abel inversion would be related to your problem. You might want to consider some edge detection algorithm (Matlab offers plenty of them) to find the shape of the person in each frame.

07 Jul 2014 Abel Inversion Algorithm Fourier-based reconstruction of an unknown radial distribution assuming cylindrical symmetry. Author: Carsten Killer

@Adnan: I am not sure what you mean with "finding changes". Of course, in different measurement images, the Abel inversion results of these images will probably differ as well. But please consider that the Abel inversion is only suited for a special situation, i.e. the investigation of symmetrical objects. Of course you can apply the Abel inversion code individually for each row or column, if your data is some kind of line-of-sight integrated measurement of a symmetrical object/system.
If the axis of symmetry is vertical, you have to consider the rows of your images. Please keep in mind that the axis of symmetry is at the start of your input vector (row) , i.e. the first element of the row vector corresponds to the center of your system r=0 and the last element corresponds the the edge, r=R.

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21 Jul 2014 Abel Inversion Algorithm Fourier-based reconstruction of an unknown radial distribution assuming cylindrical symmetry. Author: Carsten Killer Killer, Carsten

It is not necessary to figure out a function. Just use a row of your image (with the symmetry axis at the first element of the vector) as the first input of the main function ("h").

(the code works numerically (not analytically), e.g. the polynomial sample function in GENERATE_TEST_DATA is also discretized onto a grid and is not treated as an analytical function)

18 Jul 2014 Abel Inversion Algorithm Fourier-based reconstruction of an unknown radial distribution assuming cylindrical symmetry. Author: Carsten Killer Avila, Dimas

Thanks for the speedy reply Carsten! So for each row of my image should I figure out a function that characterizes that row and input that?

18 Jul 2014 Abel Inversion Algorithm Fourier-based reconstruction of an unknown radial distribution assuming cylindrical symmetry. Author: Carsten Killer Killer, Carsten

@Dimas Avila: The polynomial function is just an example given in the function GENERATE_TEST_DATA. (the result of this function is shown in the sample image at the top of this page). This function is only called if you do not provide input data.

The data vector that you want to perform the Abel inversion on is the first input variable in the main function. Please perform the Abel inversion for each row/column (depending on whether your symmertry axis is vertical or horizontal) of your image separately.

17 Jul 2014 Abel Inversion Algorithm Fourier-based reconstruction of an unknown radial distribution assuming cylindrical symmetry. Author: Carsten Killer Avila, Dimas

I was trying to perform an Abel inversion on a set of flame photographs I took to look for emission radicals. I was wondering how I can use this program to perform this. I see there is a function which generates a polynomial distribution function and then takes the abel inversion of that function. I just don't know how to do this for an image.

08 Jul 2014 Abel Inversion Algorithm Fourier-based reconstruction of an unknown radial distribution assuming cylindrical symmetry. Author: Carsten Killer Killer, Carsten

@Adnan: I don't see any way in which Abel inversion would be related to your problem. You might want to consider some edge detection algorithm (Matlab offers plenty of them) to find the shape of the person in each frame.

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