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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 = createLineReflection(line)
%CREATELINEREFLECTION Create the the 3x3 matrix of a line reflection.
%
% TRANS = createLineReflection(LINE);
% where line is given as [x0 y0 dx dy], return the affine tansform
% corresponding to the desired line reflection
%
%
% See also
% lines2d, transforms2d, transformPoint,
% createTranslation, createHomothecy, createScaling
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2005-01-19
% Copyright 2005-2023 INRA - TPV URPOI - BIA IMASTE
% extract line parameters
x0 = line(:,1);
y0 = line(:,2);
dx = line(:,3);
dy = line(:,4);
% normalisation coefficient of line direction vector
delta = dx*dx + dy*dy;
% compute coefficients of transform
m00 = (dx*dx - dy*dy)/delta;
m01 = 2*dx*dy/delta;
m02 = 2*dy*(dy*x0 - dx*y0)/delta;
m10 = 2*dx*dy/delta;
m11 = (dy*dy - dx*dx)/delta;
m12 = 2*dx*(dx*y0 - dy*x0)/delta;
% create transformation
trans = [m00 m01 m02; m10 m11 m12; 0 0 1];
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