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Abstract:
We give an exact geometry kernel for conic arcs, algorithms for exact
computation with low-degree algebraic numbers, and an algorithm for
computing the arrangement of conic arcs that immediately leads to
a realization of regularized boolean operations on conic polygons. A conic
polygon, or polygon for short, is anything that can be obtained from
linear or conic halfspaces (= the set of points where a linear or quadratic
function is non-negative) by regularized boolean operations. The algorithm and
its implementation are complete (they can handle all cases), exact (they give
the mathematically correct result), and efficient (they can handle inputs with
several hundred primitives).
