Project 8: Reconstruct circles from their projections
Input:
- n, m, k integral numbers,
- phi1, phi2, ..., phin angles
- P1, P2, ..., Pn vectors, each vector consists of m real numbers,
- k is the number of circles in the image.
Output:
- an image which can be divided by k circles into disjoint regions;
- each region contains only 1's or only 0's;
- any two circles are disjoint or one contains the other,
- P1 is the noisy projection of the image from direction phi1,
- P2 is the noisy projection of the image from direction phi2,
- ...
- Pn is the noisy projection of the image from direction phin.