@incollection{bue-02-aa-implc,
  author = {B{\"u}hler, Katja},
  title = {Fast and Reliable Plotting of Implicit Curves},
  booktitle = {Uncertainty in Geometric Computations},
  isbn = {978-1-4613-5252-5},
  series = {Engineering and Computer Science},
  volume = {704},
  publisher = {Springer},
  year = 2002,
  pages = {15-28},
  doi = {10.1007/978-1-4615-0813-7_2},
  comment = {Uses AA},
  abstract = {This paper presents a new, fast and reliable subdivision algorithm for adaptive enumeration and plotting of implicit curves. For this purpose, Implicit Linear Interval Estimations (ILIEs) based on affine arithmetics are introduced. They allow a significant acceleration of the subdivision process and a generation of reliable piecewise linear enclosures for the curve. The algorithm has been tested for algebraic curves of high degree and non-trivial trigonometric curves with remarkable results.}
}