刊物主题:Artificial Intelligence and Robotics Computer Communication Networks Software Engineering Data Encryption Database Management Computation by Abstract Devices Algorithm Analysis and Problem Complexity
出版者:Springer Berlin / Heidelberg
ISSN:1611-3349
文摘
We analyze how to compute in an efficient way the topology of an arrangement of quartic curves. We suggest a sweeping method that generalizes the one presented by Eigenwillig et al. for cubics. The proposed method avoids working with the roots of the involved resultants (most likely algebraic numbers) in order to give an exact and complete answer. We only treat in detail the cases of one and two curves because we do not introduce any significant variation in the several curves case with respect to Eigenwillig’s paper.