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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 = createScaling3d(varargin)
%CREATESCALING3D Create the 4x4 matrix of a 3D scaling.
%
% TRANS = createScaling3d(S);
% returns the scaling transform corresponding to a scaling factor S in
% each direction. S can be a scalar, or a 1-by-3 vector containing the
% scaling factor in each direction.
%
% TRANS = createScaling3d(SX, SY, SZ);
% returns the scaling transform corresponding to a different scaling
% factor in each direction.
%
% The returned matrix has the form :
% [SX 0 0 0]
% [ 0 SY 0 0]
% [ 0 0 SZ 0]
% [ 0 0 0 0]
%
% See also
% transforms3d, transformPoint3d, transformVector3d, createTranslation3d,
% createRotationOx, createRotationOy, createRotationOz
%
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2006-04-20
% Copyright 2006-2023 INRA - TPV URPOI - BIA IMASTE
%% default arguments
sx = 1;
sy = 1;
sz = 1;
center = [0 0 0];
%% process input parameters
if nargin == 1
% only one argument -> scaling factor
[sx, sy, sz]= parseScalingFactors(varargin{1});
elseif nargin == 2
% 2 arguments, giving center and uniform scaling
center = varargin{1};
[sx, sy, sz]= parseScalingFactors(varargin{2});
elseif nargin == 3
% 3 arguments, giving scaling in each direction
sx = varargin{1};
sy = varargin{2};
sz = varargin{3};
elseif nargin == 4
% 4 arguments, giving center and scaling in each direction
center = varargin{1};
sx = varargin{2};
sy = varargin{3};
sz = varargin{4};
end
%% create the scaling matrix
trans = [...
sx 0 0 center(1)*(1-sx);...
0 sy 0 center(2)*(1-sy);...
0 0 sz center(3)*(1-sz);...
0 0 0 1];
%% Helper function
function [sx, sy, sz] = parseScalingFactors(var)
if length(var)==1
% same scaling factor in each direction
sx = var;
sy = var;
sz = var;
elseif length(var)==3
% scaling is a vector, giving different scaling in each direction
sx = var(1);
sy = var(2);
sz = var(3);
else
error('wrong size for first parameter of "createScaling3d"');
end
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