XMM-Newton Science Analysis System


asmooth (asmooth-2.29) [xmmsas_20141104_1833-14.0.0]

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Single top-hat convolver

smoothstyle=`simple', convolverstyle=`tophat'.

The convolving kernel approximates a filled circle, viz:

$$c_{x,y} = A \textrm{ for $x^2+y^2 \le r^2$, 0 else.}$$

The radius $r$ is read from the parameter width. The convolver array is again square and of side length $2N+1$, where $N$ equals the integer part of $r$. If normalize=`yes', $A^{-1}$ is set from $\sum\sum c$ as before, otherwise $A$ = 1.