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Table 1
Different two-dimensional spatial functions ω(x) and corresponding weight functions W(x).
| Function | Support | ω(x) | W(x) | Eff. area |
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| Top-hat | |x | ≤ s | 1 | 1/(πs2) | π s 2 |
| Conic | |x | ≤ s | 2(1− | x | /s) | 3(1− | x | /s)/(πs2) | 2πs2/ 3 |
| Parabolic | |x | ≤ s | 3(1− | x | 2/s2)/2 | 2(1− | x | 2/s2)/(πs2) | 3πs2/ 4 |
| Gaussian | R2 | 2 exp(− | x | 2/ 2s2) | exp(− | x | 2/ 2s2)/(2πs2) | 4πs2 |
Notes. All functions considered here are axisymmetric and include a spatial scale s.
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