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-## Copyright (C) 2004-2011 David Legland <david.legland@grignon.inra.fr>
-## Copyright (C) 2004-2011 INRA - CEPIA Nantes - MIAJ (Jouy-en-Josas)
-## Copyright (C) 2012 Adapted to Octave by Juan Pablo Carbajal <carbajal@ifi.uzh.ch>
-## All rights reserved.
-##
-## Redistribution and use in source and binary forms, with or without
-## modification, are permitted provided that the following conditions are met:
-##
-## 1 Redistributions of source code must retain the above copyright notice,
-## this list of conditions and the following disclaimer.
-## 2 Redistributions in binary form must reproduce the above copyright
-## notice, this list of conditions and the following disclaimer in the
-## documentation and/or other materials provided with the distribution.
-##
-## THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS ''AS IS''
-## AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-## IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
-## ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE FOR
-## ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
-## DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
-## SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-## CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
-## OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
-## OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
-
-## -*- texinfo -*-
-## @deftypefn {Function File} {@var{plane2} =} normalizePlane (@var{plane1})
-## Normalize parametric representation of a plane
-##
-## PLANE2 = normalizePlane(PLANE1);
-## Transforms the plane PLANE1 in the following format:
-## [X0 Y0 Z0 DX1 DY1 DZ1 DX2 DY2 DZ2], where:
-## - (X0, Y0, Z0) is a point belonging to the plane
-## - (DX1, DY1, DZ1) is a first direction vector
-## - (DX2, DY2, DZ2) is a second direction vector
-## into another plane, with the same format, but with:
-## - (x0 y0 z0) is the closest point of plane to the origin
-## - (DX1 DY1 DZ1) has norm equal to 1
-## - (DX2 DY2 DZ2) has norm equal to 1 and is orthogonal to (DX1 DY1 DZ1)
-##
-## @seealso{planes3d, createPlane}
-## @end deftypefn
-
-function plane2 = normalizePlane (plane1)
-
- # compute first direction vector
- d1 = normalizeVector (plane1(:,4:6));
-
- # compute second direction vector
- n = normalizeVector (planeNormal (plane1));
- d2 = -normalizeVector (cross (d1, n, 2));
-
- # compute origin point of the plane
- origins = zeros (size (plane1, 1), 3);
- p0 = projPointOnPlane (origins, [plane1(:,1:3) d1 d2]);
-
- # create the resulting plane
- plane2 = [p0 d1 d2];
-
-endfunction