# Multi Scale Shape and Detail Enhancement from Multi Light Image Collections

I have been working on a practical implementation in Matlab of the algorithm Raanan Fattal suggested in the following paper.

I couldn't understand the meaning of eq. 11 on page 5:

$$\begin{equation}\begin{array}{llllll} U^{(i, j)}=g_{\sigma_{d}} * e^{\left(\left|D^{(i, j)}\right|-C^{(i, j)}\right)}.&&&&&(11) \end{array}\end{equation}$$

g is a gaussian, 1D function (See section 4.1, page 3). While in this equation no parameters are given. $$D(i,j)$$ is a matrix and $$C(i,j)$$ is a number.

Could anyone explain what it means in case it is just a writing method I don't recognize?

Thanks

• @Kaspar, Great editing. Welcome!
– Royi
Nov 27, 2019 at 21:39
• @Royi Thanks, in case you are wondering, it was Mathpix (mathpix.com) not manual labour. The output is very accurate, especially if the original equation was LaTex too. Even handwriting works. Nov 27, 2019 at 21:47
• @KasparJohannesSchneider, Nice! I wasn't aware of this. Learned something new. If you have feedback for my answer, I will be happy.
– Royi
Nov 27, 2019 at 21:49

What the authors meant is to create a matrix of Weights, ${U}^{\left( i, j \right)}$.