tam_danielson_window¶

odl.tomo.analytic.filtered_back_projection.tam_danielson_window(ray_trafo, smoothing_width=0.05, n_pi=1)[source]¶

Create Tam-Danielson window from a RayTransform.

The Tam-Danielson window is an indicator function on the minimal set of data needed to reconstruct a volume from given data. It is useful in analytic reconstruction methods such as FBP to give a more accurate reconstruction.

See [TAM1998] for more informationon the window. See [PKGT2000] for information on the n_pi parameter.

Parameters

ray_trafoRayTransform: The ray transform for which to compute the window.
smoothing_widthpositive float, optional: Width of the smoothing applied to the window’s edges given as a fraction of the width of the full window.
n_piodd int, optional: Total number of half rotations to include in the window. Values larger than 1 should be used if the pitch is much smaller than the detector height.

Returns

tam_danielson_windowray_trafo.range element