Effective Computational Geometry for Curves and Surfaces
Abstract
A method is presented to compute the planar arrangement induced by segments of algebraic curves of degree three (or less), using an improved Bentley-Ottmann sweep-line algorithm. Our method is exact (it provides the mathematically correct result), complete (it handles all possible geometric degeneracies), and efficient (the implementation can handle hundreds of segments). The range of possible input segments comprises conic arcs and cubic splines as special cases of particular practical importance
