We obtain improved bounds on the complexity of m distinct faces in an arrangement of n circles and in an arrangement of n unit circles. The bounds are worst-case tight for unit circles, and, for general circles, they nearly coincide with the best known bounds for the number of incidences between m points and n circles.
Published in:
Foundations of Computer Science, 2001. Proceedings. 42nd IEEE Symposium on
Date of Conference: 8-11 Oct. 2001