Class P3PGrunert

All Implemented Interfaces:

public class P3PGrunert
extends Object
implements P3PLineDistance

Solves for the 3 unknown distances between camera center and 3 observed points by finding the roots of a 4th order polynomial, This is probably the first solution to the P3P problem and first proposed in 1841 by Grunert. This implementation is based off the discussion in [1]. There are up to four solutions.

See P3PLineDistance for a more detailed problem description.

[1] Haralick, Robert M. and Lee, Chung-Nan and Ottenberg, Karsten and Nolle, Michael, "Review and analysis of solutions of the three point perspective pose estimation problem" Int. J. Comput. Vision, 1994 vol 13, no. 13, pages 331-356

  • Constructor Details

    • P3PGrunert

      public P3PGrunert​(PolynomialRoots rootFinder)
      Specifies the polynomial root finder.
      rootFinder - Root finder for real 4th order roots.
  • Method Details

    • process

      public boolean process​(Point2D_F64 obs1, Point2D_F64 obs2, Point2D_F64 obs3, double length23, double length13, double length12)
      Description copied from interface: P3PLineDistance
      Solve for the distance between the camera's origin and each of the 3 points in 3D space.
      Specified by:
      process in interface P3PLineDistance
      obs1 - Observation of P1 in normalized image coordinates
      obs2 - Observation of P2 in normalized image coordinates
      obs3 - Observation of P3 in normalized image coordinates
      length23 - Distance between points P2 and P3
      length13 - Distance between points P1 and P3
      length12 - Distance between points P1 and P2
      true if successful or false if it failed to generate any solutions
    • pow2

      public static double pow2​(double a)
    • computeCosine

      public static double computeCosine​(Point2D_F64 a, Point2D_F64 b)
    • getSolutions

      public DogArray<PointDistance3> getSolutions()
      Description copied from interface: P3PLineDistance
      Returns a set of solutions. Each solution contains the distance to the respective point.
      Specified by:
      getSolutions in interface P3PLineDistance
      List of solutions.