Red Blue Intersection Detection Algorithms With Applications to Motion Planning
Red Blue Intersection Detection Algorithms With Applications to Motion Planning
Pankaj Agarwal
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An endpoint of one arc or an intersection point between two eircs in F'), apart from the stEmdeird list and priority queue updating operations, we perform the following additional tasks. (i) If we reach a left endpoint of some arc 7', then we create a new connected component C{Y) containing only 7' (sweeping through the right endpoint of an axe requires no special action). (ii) If we reach an intersection point of two aires 7', 7" and C{f') is different from C(j"), then we merge the two connect...ed components containing 7', 7" respectively. (iii) If suiy connected component C is found to have more than rj eires, then we output it as a set F^, and delete C and all of its axes from F' (and from Q). (Note that C need not be a full component of -4(F'), but may be only a subset of such a component. ) We also remove all endpoints and intersection points along these axes from the priority queue. The priority queue is also updated by inserting into it all the intersection points between newly adjacent pairs of arcs in Q.
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