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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
## 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.
##
## The views and conclusions contained in the software and documentation are
## those of the authors and should not be interpreted as representing official
## policies, either expressed or implied, of the copyright holders.
function varargout = transformPoint(varargin)
%TRANSFORMPOINT Apply an affine transform to a point or a point set.
%
% PT2 = transformPoint(PT1, TRANSFO);
% Returns the result of the transformation TRANSFO applied to the point
% PT1. PT1 has the form [xp yp], and TRANSFO is either a 2-by-2, a
% 2-by-3, or a 3-by-3 matrix,
%
% Format of TRANSFO can be one of :
% [a b] , [a b c] , or [a b c]
% [d e] [d e f] [d e f]
% [0 0 1]
%
% PT2 = transformPoint(PT1, TRANSFO);
% Also works when PTA is a N-by-2 array representing point coordinates.
% In this case, the result PT2 has the same size as PT1.
%
% [X2, Y2] = transformPoint(X1, Y1, TRANS);
% Also works when PX1 and PY1 are two arrays the same size. The function
% transforms each pair (PX1, PY1), and returns the result in (X2, Y2),
% which has the same size as (PX1 PY1).
%
%
% See also
% points2d, transforms2d, translation, rotation
%
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2004-04-06
% Copyright 2004-2023 INRA - TPV URPOI - BIA IMASTE
% parse input arguments
if length(varargin) == 2
var = varargin{1};
px = var(:,1);
py = var(:,2);
trans = varargin{2};
elseif length(varargin) == 3
px = varargin{1};
py = varargin{2};
trans = varargin{3};
else
error('wrong number of arguments in "transformPoint"');
end
% apply linear part of the transform
px2 = px * trans(1,1) + py * trans(1,2);
py2 = px * trans(2,1) + py * trans(2,2);
% add translation vector, if exist
if size(trans, 2) > 2
px2 = px2 + trans(1,3);
py2 = py2 + trans(2,3);
end
% format output arguments
if nargout < 2
varargout{1} = [px2 py2];
elseif nargout
varargout{1} = px2;
varargout{2} = py2;
end
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