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FACET_VERTICES_TO_PLANE_COEFFICIENTS

FACET_VERTICES_TO_PLANE_COEFFICIENTS

Name


    FACET_VERTICES_TO_PLANE_COEFFICIENTS

Purpose


    This function will compute the coefficients of a plane equation of the form
      Ax + By + Cz + D = 0
    from a set of triangilar facet vertices. The surface normal can also be
    computed if desired.

Category


    Graphics.

Calling Sequence


    Result = FACET_VERTICES_TO_PLANE_COEFFICIENTS( vertices,
                                                  FACET_NORMAL=facetNormal,
                                                  NORMALIZE=normalize )

Inputs


    vertices
      A structure containing the vertices of a triangular facet - the tags
      are POINT1, POINT2, and POINT3 and these represent the 3-dimensional
      coordinates, defined as a 3-element vector, for the vertices in
      counter-clockwise order so that the right-hand rule holds for defining
      the surface normal

Keyword Parameters


    FACET_NORMAL
      This keyword will define a named variable that will contain the surface
      normal upon completion of this routine
    NORMALIZE
      This keyword, used in combination with FACET_NORMAL, will cause the
      surface normal vector to be a unit vector
   

Result


    Result will be a 4-element vector containing the coefficients of the plane
    equation of the form [A, B, C, D].

Side Effects


    None

Requires


    NORMALIZE

Modification History


    Written by: Carl Salvaggio
    September, 2009 Original code
 

Disclaimer


    This source code is provided "as is" and without warranties as to performance
    or merchantability. The author and/or distributors of this source code may
    have made statements about this source code. Any such statements do not
    constitute warranties and shall not be relied on by the user in deciding
    whether to use this source code.
    This source code is provided without any express or implied warranties
    whatsoever. Because of the diversity of conditions and hardware under which
    this source code may be used, no warranty of fitness for a particular purpose
    is offered. The user is advised to test the source code thoroughly before
    relying on it. The user must assume the entire risk of using the source code.



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