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JOCG
2016
58views more  JOCG 2016»
10 years 15 days 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»
10 years 15 days 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»
10 years 15 days 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 ...