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annotate OrthancStone/Resources/Computations/ComputeShearParameters.py @ 1589:8c5f9864545f

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adding missing headers
author Sebastien Jodogne <s.jodogne@gmail.com>
date Thu, 22 Oct 2020 16:59:23 +0200
parents 244ad1e4e76a
children 8563ea5d8ae4
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46cb2eedc2e0 ShearWarpProjectiveTransform
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1 #!/usr/bin/python
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2
1589
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3 # Stone of Orthanc
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4 # Copyright (C) 2012-2016 Sebastien Jodogne, Medical Physics
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5 # Department, University Hospital of Liege, Belgium
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6 # Copyright (C) 2017-2020 Osimis S.A., Belgium
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7 #
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8 # This program is free software: you can redistribute it and/or
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9 # modify it under the terms of the GNU Affero General Public License
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10 # as published by the Free Software Foundation, either version 3 of
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11 # the License, or (at your option) any later version.
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12 #
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13 # This program is distributed in the hope that it will be useful, but
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14 # WITHOUT ANY WARRANTY; without even the implied warranty of
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15 # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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16 # Affero General Public License for more details.
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17 #
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18 # You should have received a copy of the GNU Affero General Public License
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19 # along with this program. If not, see <http://www.gnu.org/licenses/>.
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46cb2eedc2e0 ShearWarpProjectiveTransform
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22 from sympy import *
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23 import pprint
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25 init_printing(use_unicode=True)
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27 s13, s23, s43 = symbols('s13 s23 s43')
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28 x, y, z, w = symbols('x y z w')
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30 A = Matrix([[ 1, 0, s13, 0 ],
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31 [ 0, 1, s23, 0 ],
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32 [ 0, 0, 1, 0 ],
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33 [ 0, 0, s43, 1 ]])
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35 print('\nLacroute\'s shear matrix (A.14) is:')
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36 pprint.pprint(A)
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38 # At this point, we can write "print(A*p)". However, we don't care
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39 # about the output "z" axis, as it is fixed. So we delete the 3rd row
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40 # of A.
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42 A.row_del(2)
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44 p = Matrix([ x, y, z, 1 ])
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46 v = A*p
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47 print('\nAction of Lacroute\'s shear matrix on plane z (taking w=1):\n%s\n' % v)
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49 print('Scaling = %s' % (1/v[2]))
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50 print('Offset X = %s' % (v[0]/v[2]).subs(x, 0))
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51 print('Offset Y = %s' % (v[1]/v[2]).subs(y, 0))