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  2. JTS Topology Suite - Wikipedia

    en.wikipedia.org/wiki/JTS_Topology_Suite

    JTS is developed under the Java JDK 1.4 platform. It is 100% pure Java. It will run on all more recent JDKs as well. [6] JTS has been ported to the .NET Framework as the Net Topology Suite. A JTS subset has been ported to C++, with entry points declared as C interfaces, as the GEOS library.

  3. Point in polygon - Wikipedia

    en.wikipedia.org/wiki/Point_in_polygon

    A winding number of 0 means the point is outside the polygon; other values indicate the point is inside the polygon. An improved algorithm to calculate the winding number was developed by Dan Sunday in 2001. [6] It does not use angles in calculations, nor any trigonometry, and functions exactly the same as the ray casting algorithms described ...

  4. Convex hull algorithms - Wikipedia

    en.wikipedia.org/wiki/Convex_hull_algorithms

    An important special case, in which the points are given in the order of traversal of a simple polygon's boundary, is described later in a separate subsection. If not all points are on the same line, then their convex hull is a convex polygon whose vertices are some of the points in the input set. Its most common representation is the list of ...

  5. Point location - Wikipedia

    en.wikipedia.org/wiki/Point_location

    Another special case is the point in polygon problem, in which one needs to determine whether a point is inside, outside, or on the boundary of a single polygon. In many applications, one needs to determine the location of several different points with respect to the same partition of the space.

  6. Delaunay triangulation - Wikipedia

    en.wikipedia.org/wiki/Delaunay_triangulation

    The Euclidean minimum spanning tree of a set of points is a subset of the Delaunay triangulation of the same points, [22] and this can be exploited to compute it efficiently. For modelling terrain or other objects given a point cloud, the Delaunay triangulation gives a nice set of triangles to use as polygons in the model. In particular, the ...

  7. General Polygon Clipper - Wikipedia

    en.wikipedia.org/wiki/General_Polygon_Clipper

    The first polygon set comprises outlines of the United Kingdom and Ireland. The second polygon set comprises the four large inward-pointing arrows. In each example, the areas resulting from the GPC operation between the two sets of polygons are rendered in colour. This example shows difference between the two sets: Example of GPC Difference

  8. Boolean operations on polygons - Wikipedia

    en.wikipedia.org/wiki/Boolean_operations_on_polygons

    Matthias Kramm's gfxpoly, a free C library for 2D polygons (BSD license). Klaas Holwerda's Boolean, a C++ library for 2D polygons. David Kennison's Polypack, a FORTRAN library based on the Vatti algorithm. Klamer Schutte's Clippoly, a polygon clipper written in C++. Michael Leonov's poly_Boolean, a C++ library, which extends the Schutte algorithm.

  9. Computational geometry - Wikipedia

    en.wikipedia.org/wiki/Computational_geometry

    Point in polygon: Decide whether a point is inside or outside a given polygon. In many applications this problem is treated as a single-shot one, i.e., belonging to the first class. For example, in many applications of computer graphics a common problem is to find which area on the screen is clicked by a pointer. However, in some applications ...