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JOCG
2016
58views more  JOCG 2016»
8 years 1 months ago
Shortest path to a segment and quickest visibility queries
We show how to preprocess a polygonal domain with a fixed starting point s in order to answer efficiently the following queries: Given a point q, how should one move5 from s in or...
Valentin Polishchuk, Esther M. Arkin, Alon Efrat, ...
JOCG
2016
72views more  JOCG 2016»
8 years 1 months ago
Shortest path in a polygon using sublinear space
We resolve an open problem due to Tetsuo Asano, showing how to compute the shortest path in a polygon, given in a read only memory, using sublinear space and subquadratic time. Sp...
Sariel Har-Peled
JOCG
2016
58views more  JOCG 2016»
8 years 1 months ago
Pattern overlap implies runaway growth in hierarchical tile systems
We show that in the hierarchical tile assembly model, if there is a producible assembly that overlaps a nontrivial translation of itself consistently (i.e., the pattern of tile ty...
David Doty, Ho-Lin Chen, Ján Manuch, Arash ...