Image of A Simple Object: Knife Covered with Cloth

Let us start by using a more formal approach on the images in Figure: Concealed Knife . Goodman's criteria for the independence of the speckle patterns also concludes that of the 41 images taken across 410 there are 16 independent illumination angles. An image that is the average of many speckle patterns will have an intensity distribution that follows a gamma density function of order $N$, \begin{equation}p_I(I)=\frac{N^N I^{N-1}}{\Gamma (N)\langle I \rangle^N}e^{-N\frac{I}{\langle I \rangle}}\end{equation}

Figure: Concealed Knife. (a) Image
of a knife under a thin brown robe at 632
GHz. (c) Co-added image of a knife taken
at 16 independent angles. The quantitat-
ive traces below each image show the sig-
nal along the blue line in each image. Th-
ese graphs show that the speckle contrast
noise is reduced by (16)1/2=4 by the ave-
raging over the 16 independent images.