\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.8 - 2D Polygon Partitioning

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Concepts
2D Polygon Partitioning Reference

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## Concepts
concept | ConvexPartitionIsValidTraits_2
| Requirements of a traits class used by `convex_partition_is_valid_2` for testing the validity of a convex partition of a polygon. More...
concept | IsYMonotoneTraits_2
| Requirements of a traits class to be used with the function `is_y_monotone_2()` that tests whether a sequence of 2D points defines a \( y\)-monotone polygon or not. More...
concept | OptimalConvexPartitionTraits_2
| Requirements of a traits class to be used with the function `optimal_convex_partition_2()` that computes an optimal convex partition of a polygon. More...
concept | PartitionIsValidTraits_2
| Requirements of a traits class that is used by `partition_is_valid_2`, `convex_partition_is_valid_2`, and `y_monotone_partition_is_valid_2` for testing if a given set of polygons are nonoverlapping and if their union is a polygon that is the same as a polygon represented by a given sequence of points. Note that the traits class for `partition_is_valid_2` may have to satisfy additional requirements if each partition polygon is to be tested for having a particular property; see, for example, the descriptions of the function `is_convex_2()` and the concept `YMonotonePartitionTraits_2` for the additional requirements for testing for convexity and \( y\)-monotonicity, respectively. More...
concept | PartitionTraits_2
| The polygon partitioning functions are each parameterized by a traits class that defines the primitives used in the algorithms. Many requirements are common to all traits classes. The concept `PartitionTraits_2` defines this common set of requirements. More...
concept | YMonotonePartitionIsValidTraits_2
| Requirements of a traits class that is used by `y_monotone_partition_is_valid_2` for testing the validity of a \( y\)-monotone partition of a polygon. More...
concept | YMonotonePartitionTraits_2
| Requirements of a traits class to be used with the function `y_monotone_partition_2()`. More...