We have multiple lights in 10×10 grid each of which we can control intensity 1 to 10. Target of those lights is a wall and our goal is to have uniform intensity within some range over wall image where user defines the intensity value. One restriction is that only direct adjacent neighbor lights of given light will be affect the image intensity for the wall area the light directly shed on.
I think (and hope) that this is a known problem but couldn’t find any good reference to solve this problem. Any tip or clue would be appreciated.
I suppose that resulting intensity is linear combination of some neigbour lamps. For example, I[x,y]=a*L[x,y]+b*(L[x-1,y]+L[x+1,y]+L[x,y-1]+L[x,y-1])+c*(L[x-1,y-1] +…), where a,b,c are some coefficients. So there is linear system of 100 equations with 100 unknowns variables. It may be solved, if coefficients are known.
More complex model – convolution of lamp intensity matrix with point spread function. It may require sophisticated methods of signal reconstruction