Issue No. 10 - October (1986 vol. 35)
E. Lodi , Department of Information Science, University of Pisa
We present a parallel algorithm to solve the visibility problem among n vertical segments in a plane, which can be implemented on a VLSI chip arranged as a mesh of trees. Our algorithm determines all the pairs of segments that "see" each other in time O(log n); while the fastest sequential algorithm requires O(n log n). A lower bound to the area-time complexity of this problem of O(n2 log2 n) is also derived.
VLSI, Area-time complexity, computational geometry, mesh of trees, parallel algorithm
E. Lodi and L. Pagli, "A VLSI Solution to the Vertical Segment Visibility Problem," in IEEE Transactions on Computers, vol. 35, no. , pp. 923-928, 1986.