00944nas a2200109   4500008004100000245009000041210006900131260004900200300001200249520053200261856004100793       2006                        eng d00aThe number of line-convex directed polyominoes having the same orthogonal projections0 anumber of lineconvex directed polyominoes having the same orthog  aBerlin, HeidelbergbSpringer-Verlagc2006///  a77 - 853 a<p>The number of line-convex directed polyominoes with givenhorizontal and vertical projections is studied. It is proven that diagonally convex directed polyominoes are uniquely determined by their orthogonal projections. The proof of this result is algorithmical. As a counterpart, we show that ambiguity can be exponential if antidiagonal convexity is assumed about the polyomino. Then, the results are generalised to polyominoes having convexity property along arbitrary lines. © Springer-Verlag Berlin Heidelberg 2006.</p>  uhttps://inf.u-szeged.hu/en/node/1140