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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 trans = createScaling(varargin)
%CREATESCALING Create the 3*3 matrix of a scaling in 2 dimensions.
%
% TRANS = createScaling(SX, SY);
% return the matrix corresponding to scaling by SX and SY in the 2
% main directions.
% The returned matrix has the form:
% [SX 0 0]
% [0 SY 0]
% [0 0 1]
%
% TRANS = createScaling(SX);
% Assume SX and SY are equals.
%
% TRANS = createScaling(CENTER, ...);
% Specifies the center of the scaling transform. The argument CENTER
% should be a 1-by-2 array representing coordinates of center.
%
% See also
% transforms2d, transformPoint, createTranslation, createRotation
%
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2004-04-07
% Copyright 2004-2023 INRA - TPV URPOI - BIA IMASTE
% defined default arguments
sx = 1;
sy = 1;
cx = 0;
cy = 0;
% process input arguments
if nargin == 1
% the argument is either the scaling factor in both direction,
% or a 1x2 array containing scaling factor in each direction
var = varargin{1};
sx = var(1);
sy = var(1);
if length(var)>1
sy = var(2);
end
elseif nargin == 2
% the 2 arguments are the scaling factors in each dimension
sx = varargin{1};
sy = varargin{2};
elseif nargin == 3
% first argument is center, 2nd and 3d are scaling factors
center = varargin{1};
cx = center(1);
cy = center(2);
sx = varargin{2};
sy = varargin{3};
end
% concatenate results in a 3-by-3 matrix
trans = [sx 0 cx*(1-sx); 0 sy cy*(1-sy); 0 0 1];
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