RadiusSum v1

../_images/RadiusSum-v1_dlg.png

RadiusSum dialog.

Table of Contents

Summary

Sum of all the counts inside a ring against the scattering angle for each Radius.

Properties

Name Direction Type Default Description
InputWorkspace Input MatrixWorkspace Mandatory An input workspace.
OutputWorkspace Output MatrixWorkspace Mandatory An output workspace.
Centre Input dbl list 0,0,0 Coordinate of the centre of the ring
MinRadius Input number 0 Lenght of the inner ring. Default=0
MaxRadius Input number Optional Lenght of the outer ring. Default=ImageSize.
NumBins Input number 100 Number of slice bins for the output. Default=100
NormalizeByRadius Input boolean False Divide the sum of each ring by the radius powered by Normalization Order
NormalizationOrder Input number 1 If 2, the normalization will be divided by the quadratic value of the ring for each radius.

Description

RadiusSum sums the counts in rings against radius.

Below, there is an example of the execution of the RadiusSum to a Workspace2D where the position of the pixels are not associated to detector positions, but it is derived from the Axes.

../_images/ExecuteRadiusSum.png

The image below shows a visual interpretation for the inputs of the algorithm

../_images/RadiusSumInputs.png

The Algorithm create NumBins rings around the Centre point each one with width = BinSize for BinSize=\frac{MaxRadius-MinRadius}{NumBins}.

The algorithm applies a rudimentary calculation to define the bin for each that each pixel or detector in the Workspace2D, but taking its center point. If the center point belongs to one bin, it is considered that the whole pixel belongs to the bin. The picture below, shows what does this means. An ideal solution for RadiusSum is the left image, while the right image is what is current implemented.

../_images/RadiusSumSolutions.png

Although the images were applied to an image Workspace2D, the image below shows that it is possible to apply this algorithm to Workspaces attached to instruments.

../_images/RadiusSumInstrument.png

Categories: Algorithms | Transforms\Grouping

Source

C++ source: RadiusSum.cpp

C++ header: RadiusSum.h