RGB to YUV

\(\begin{align} Y &= 0.299R+0.587G+0.114B\\ U &= 0.492(B-Y)\\ V &= 0.877(R-Y) \end{align}\)

YUV to RGB

\(\begin{align} R &= Y+1.14V\\ G &= Y-0.395U-0.581V\\ B &= Y+2.033U \end{align}\)