# 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:

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

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 '19 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. – Kaspar Johannes Schneider Nov 27 '19 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 '19 at 21:49

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