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===Geometry=== {{main category|Geometric algorithms}} {{further|Computational geometry}} * [[Closest pair problem]]: find the pair of points (from a set of points) with the smallest distance between them * [[Collision detection]] algorithms: check for the collision or intersection of two given solids * [[Cone algorithm]]: identify surface points * [[Convex hull algorithms]]: determining the [[convex hull]] of a [[Set (mathematics)|set]] of points ** [[Graham scan]] ** [[Quickhull]] ** [[Gift wrapping algorithm]] or Jarvis march ** [[Chan's algorithm]] ** [[Kirkpatrick–Seidel algorithm]] * [[Euclidean distance map|Euclidean distance transform]]: computes the distance between every point in a grid and a discrete collection of points. * [[Geometric hashing]]: a method for efficiently finding two-dimensional objects represented by discrete points that have undergone an [[affine transformation]] * [[Gilbert–Johnson–Keerthi distance algorithm]]: determining the smallest distance between two [[convex set|convex]] shapes. * [[Jump-and-Walk algorithm]]: an algorithm for point location in triangulations * [[Laplacian smoothing]]: an algorithm to smooth a polygonal mesh * [[Line segment intersection]]: finding whether lines intersect, usually with a [[sweep line algorithm]] ** [[Bentley–Ottmann algorithm]] ** [[Shamos–Hoey algorithm]] * [[Minimum bounding box algorithms]]: find the [[Minimum bounding box#Arbitrarily oriented minimum bounding box|oriented minimum bounding box]] enclosing a set of points * [[Nearest neighbor search]]: find the nearest point or points to a query point * [[Nesting algorithm]]: make the most efficient use of material or space * [[Point in polygon]] algorithms: tests whether a given point lies within a given polygon * [[Point set registration]] algorithms: finds the transformation between two [[point cloud|point sets]] to optimally align them. * [[Rotating calipers]]: determine all [[antipodal point|antipodal]] pairs of points and vertices on a [[convex polygon]] or [[convex hull]]. * [[Shoelace algorithm]]: determine the area of a polygon whose vertices are described by ordered pairs in the plane * [[Triangulation (geometry)|Triangulation]] ** [[Delaunay triangulation]] *** [[Ruppert's algorithm]] (also known as Delaunay refinement): create quality Delaunay triangulations *** [[Chew's second algorithm]]: create quality [[constrained Delaunay triangulation]]s ** [[Marching triangles]]: reconstruct two-dimensional surface geometry from an unstructured [[point cloud]] ** [[Polygon triangulation]] algorithms: decompose a polygon into a set of triangles ** [[Voronoi diagram]]s, geometric [[duality (mathematics)|dual]] of [[Delaunay triangulation]] *** [[Bowyer–Watson algorithm]]: create voronoi diagram in any number of dimensions *** [[Fortune's Algorithm]]: create voronoi diagram ** [[Quasitriangulation]]
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