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planePoint.m    63 lines (59 with data), 2.6 kB

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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.
function coord = planePoint(plane, point)
#PLANEPOINT Compute 3D position of a point in a plane
#
# POINT = planePoint(PLANE, POS)
# PLANE is a 9 element row vector [x0 y0 z0 dx1 dy1 dz1 dx2 dy2 dz2]
# POS is the coordinate of a point in the plane basis,
# POINT is the 3D coordinate in global basis.
#
# Example
# planePoint
#
# See also
# planes3d, planePosition
#
# ------
# Author: David Legland
# e-mail: david.legland@grignon.inra.fr
# Created: 2007-09-18, using Matlab 7.4.0.287 (R2007a)
# Copyright 2007 INRA - BIA PV Nantes - MIAJ Jouy-en-Josas.
# adapt size of input arguments
npl = size(plane, 1);
npt = size(point, 1);
if npl~=npt
if npl==1
plane = repmat(plane, npt, 1);
elseif npt==1
point = repmat(point, npl, 1);
else
error('plane and point should have same size');
end
end
# compute 3D coordinate
coord = plane(:,1:3) + ...
plane(:,4:6).*repmat(point(:,1), 1, 3) + ...
plane(:,7:9).*repmat(point(:,2), 1, 3);