next up previous
Next: The LEDA Number Class Up: Boolean Operations on Polygons Previous: The CGAL Geometry Kernel,

Circle Points and Predicates on Circle Points, Nov 20

Nov 20:

define circular arcs, prove that the intersection of two circular arcs is a circle point, derive equations for circle points, discuss implementation of some primitives. Show how to do the comparison of x-coordinates by repeated squaring. Then show that the repeated squaring strategy works for every expression with integer operands and operators +, -, $\times$, and $\sqrt{\ }$. State the basic separation bound theorem and show how it can be used in a numerical sign test

Handout: Circle Points and Predicates on Circle Points

Kurt Mehlhorn