Shepp–Logan phantom
Image of a Shepp-Logan Phantom used primarily in Tomography reconstruction
The Shepp–Logan phantom is a standard test image 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 algorithms.[1][2][3][4]
Definition
The function describing the phantom is defined[1] using 10 ellipses inside 2x2 square
| Ellipses | Center | Major Axis | Minor Axis | Theta | Gray Level |
|---|---|---|---|---|---|
| a | (0,0) | 0.69 | 0.92 | 0 | 2 |
| b | (0,-.0184) | 0.6624 | 0.874 | 0 | -0.98 |
| C | ( .22, 0) | 0.11 | 0.31 | -18° | -0.02 |
| d | (-.22,0) | 0.16 | 0.41 | 18° | -0.02 |
| e | (0,.35) | 0.21 | 0.25 | 0 | 0.01 |
| f | (0,.1) | 0.046 | 0.046 | 0 | 0.01 |
| g | (0,-.1) | 0.046 | 0.046 | 0 | 0.01 |
| h | (-.08,-.605) | 0.046 | 0.023 | 0 | 0.01 |
| i | (0,-.605) | 0.023 | 0.023 | 0 | 0.01 |
| j | (.06,-.605) | 0.023 | 0.046 | 0 | 0.01 |
References
- 1 2 Shepp, Larry; B. F. Logan (1974). "The Fourier Reconstruction of a Head Section" (PDF). IEEE Transactions on Nuclear Science. NS-21 (3): 21–43.
- ↑ Ellenberg, Jordan (February 22, 2010). "Fill in the Blanks: Using Math to Turn Lo-Res Datasets Into Hi-Res Samples". Wired. Retrieved 31 May 2013.
- ↑ Müller, Jennifer L.; Siltanen, Samuli (2012-11-30). Linear and Nonlinear Inverse Problems with Practical Applications. SIAM. pp. 31–. ISBN 9781611972337. Retrieved 31 May 2013.
- ↑ Koay, Cheng Guan; Joelle E. Sarlls; Evren Özarslan (2007). "Three-Dimensional Analytical Magnetic Resonance Imaging Phantom in the Fourier Domain" (PDF). Magn Reson Med 58. pp. 430–436.
See also
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