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

GroupToXResolution v1¶

Summary ¶

Groups points within intervals given by the Dx into single points

Name	Direction	Type	Default	Description
InputWorkspace	Input	MatrixWorkspace	Mandatory	An input workspace with Dx values.
OutputWorkspace	Output	MatrixWorkspace	Mandatory	The grouped workspace.
FractionOfDx	Input	number	0.2	A fraction of Dx to group the points to.

This algorithm groups the points of a single histogram workspace according to the X resolution stored in the DX array.

The figure below shows schematically how the grouping procedure proceeds.

Select first ungrouped point \(i\). The X resolution (DX) for this point is \(D_{i}\).
Calculate grouping width \(w_{i} =\) FractionOfDx * \(D_{i}\).
Select ungrouped points within \(w_{i}\) from point \(i\).
Calculate the average X, average Y, and the square root of the averaged squared sums of E of the selected points.
Calculate new resolution \(D^{\circ} = \sqrt{D_{i}^{2} + (0.68 \Delta X)^{2}}\) where \(\Delta X\) is span of the X values of the selected points.
Replace the selected points with a single grouped point.
Return to 1.