\(\renewcommand\AA{\unicode{x212B}}\)

RadiusSum v1¶

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	Length of the inner ring. Default=0
MaxRadius	Input	number	Optional	Length 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.

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

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.

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.