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Saturday 18 June 2011

Geometry

  • Gift wrapping. Determining the convex hull of a set of points.
  • Gilbert-Johnson-Keerthi distance. Determining the smallest distance between two convex shapes.
  • Graham scan. Determining the convex hull of a set of points in the plane.
  • Line segment intersection. Finding whether lines intersect with a sweep line algorithm.
  • Point in polygon. Tests whether a given point lies within a given.
  • Ray/Plane intersection.
  • Line/Triangle intersection. Particular case of Ray/Plane intersection.
  • Polygonization of implicit surfaces. Approximate an implicit surface with a polygonal representation.
  • Triangulation. Method to evaluate the distance to a point from angles to other points, whose distance is known.