Project 8 cont.
Remarks: P1 projection in direction phi1: let's take m parallel lines in direction phi1 crossing the image. Along each line we can measure the integral of the image. These m integral values are contained by P1.
noisy projections: projections + additive noise
The problem can be posed as an optimization problem: Let's try to find a configuration of circles having projections closest to the given P1, ..., Pn vectors e.g. in L2 norm sense.