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## Copyright (C) 2024 David Legland
## 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
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##
## THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS ''AS IS''
## AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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## ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE FOR
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## The views and conclusions contained in the software and documentation are
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function res = parallelPlane(plane, point)
%PARALLELPLANE Parallel to a plane through a point or at a given distance.
%
% PL2 = parallelPlane(PL, PT)
% Constructs the plane parallel to plane PL and containing the point PT.
%
% PL2 = parallelPlane(PL, D)
% Constructs the plane parallel to plane PL, and located at the given
% signed distance D.
%
% Example
% % Create a plane normal to the 3D vector DIR
% dir = [3 4 5];
% plane = createPlane([3 4 5], dir);
% % Create plane at a specific distance
% plane2 = parallelPlane(plane, 5);
% % Create a line perpendicular to both planes
% line = [2 4 1 3 4 5];
% pi1 = intersectLinePlane(line, plane);
% pi2 = intersectLinePlane(line, plane2);
% % check the distance between intersection points
% distancePoints3d(pi1, pi2)
% ans =
% 5
%
% See also
% geom3d, parallelLine3d
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2012-08-22, using Matlab 7.9.0.529 (R2009b)
% Copyright 2012-2023 INRA - Cepia Software Platform
if size(point, 2) == 1
% use a distance. Compute position of point located at distance DIST on
% the line normal to the plane.
normal = normalizeVector3d(planeNormal(plane));
point = plane(:, 1:3) + bsxfun(@times, point, normal);
end
% change origin, and keep direction vectors
res = [point plane(:, 4:9)];
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