GRJul 13, 2017
Superposition de calques monochromes d'opacités variablesAlexandre Bali
For a monochrome layer $x$ of opacity $0\le o_x\le1 $ placed on another monochrome layer of opacity 1, the result given by the standard formula is $$\smallΠ\left({\bf C}_\varphi\right)=1+\sum_{n=1}^2\left(2-n-(-1)^no_{χ(\varphi+1)}\right)\left(χ(n+\varphi-1)-o_{χ(n+\varphi-1)}\right),$$ the formula being of course explained in detail in this paper. We will eventually deduce a very simple theorem, generalize it and then see its validity with alternative formulas to this standard containing the same main properties here exposed.