Shepp–Logan Phantom
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The Shepp–Logan phantom is a
standard test image A standard test image is a digital image file used across different institutions to test image processing and image compression algorithms. By using the same standard test images, different labs are able to compare results, both visually and qua ...
created by Larry Shepp and Benjamin F. Logan for their 1974 paper "The Fourier Reconstruction of a Head Section". It serves as the model of a human head in the development and testing of
image reconstruction Iterative reconstruction refers to Iteration, iterative algorithms used to reconstruct 2D and 3D reconstruction, 3D images in certain Digital imaging, imaging techniques. For example, in computed tomography an image must be reconstructed from pro ...
algorithms.


Definition

The function describing the phantom is defined as the sum of 10
ellipse In mathematics, an ellipse is a plane curve surrounding two focus (geometry), focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant. It generalizes a circle, which is the special ty ...
s inside a 2×2 square:


References


See also

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Imaging phantom Imaging phantom, or simply phantom, is a specially designed object that is scanned or imaged in the field of medical image, medical imaging to evaluate, analyze, and tune the performance of various imaging devices. A phantom is more readily avai ...
{{DEFAULTSORT:Shepp-Logan phantom Image processing 1974 works Test items