Two Remarks on Reconstructing Binary Vectors from Their Absorbed Projections
We prove two small results on the reconstruction of binary matrices from their absorbed projections: (1) If the absorption constant is the positive root of x 2 + x – 1 = 0, then every row is uniquely determined by its left and right projections. (2) If the absorption constant is the root of x 4 – x 3 – x 2 – x + 1 = 0 with 0 < x < 1, then in general a row is not uniquely determined by its left and right projections.
- 1.Barcucci, E., Frosini, A., Rinaldi, S.: Reconstruction of discrete sets from two absorbed projections: an algorithm. Electronic Notes on Discrete Mathematics 12 (2003)Google Scholar