… polygons. In the course of proving this we obtain (Theorem 3) a necessary and sufficient
condition for two general polygons to have equal X-rays … simple polygon Q with the same X-rays …

… previous results for convex polygons to a significantly larger class … strategies for arbitrary
polygons. Interactive probing … to reconstruct an arbitrary simple polygon using x-rays. We have …

… , they may provide a way to extend probing resultsto nonconvex polygons by eliminating the
… about the polygon. The idea behind this strategy is to bound a section of the polygon where …

… polygons in the plane are uniquely determined by two directed X-rays, and with the exception
of a simple class of polygons … right derivatives of the directed X-rays through such a point. …

… previous X-rays may be … polygons can be successively determined by three X-rays, and in
[10] we proved that convex polytopes in E 3 can be successively determined by only two X-rays…

… [13]) that X-rays taken in certain sets of … of X-rays of convex polygons and poly topes (see
[8, 26, 11]). As well as the determination of a class of objects - where the directions of the Xrays …

… As with parallel discrete X-rays, uniqueness results hinge on the nonexistence of special
lattice polygons we call lattice P-polygons, for finite subsets P of Z2. (However, the connection …

… 2 is a polygon bounded by straight lines. The analysis which we have just made shows that
… crystal are parallel, just as the sides of the polygon in Fig. 2 are parallel to the more obvious …

… We turn to the topic of parallel X-rays with D as before. … The main tool in treating the
parallel X-rays is disintegrated … In Section 3 we single out a class of random polygons called …

… We prove that a U-polygon can always be decomposed as a linear sum inside the class of …
parallel or point X-rays. In this paper we are only concerned with parallel X-rays (see Section …