Mercurial > hg > orthanc-stone
annotate OrthancStone/Resources/Computations/ComputeShearParameters.py @ 1853:cbb5c4a66160
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author | Sebastien Jodogne <s.jodogne@gmail.com> |
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date | Tue, 29 Jun 2021 16:29:37 +0200 |
parents | 9ac2a65d4172 |
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1 #!/usr/bin/python |
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2 |
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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) 2017-2021 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 Lesser 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 # Lesser 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 Lesser General Public |
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19 # License along with this program. If not, see |
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20 # <http://www.gnu.org/licenses/>. |
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21 |
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22 |
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23 from sympy import * |
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24 import pprint |
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25 |
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26 init_printing(use_unicode=True) |
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27 |
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28 s13, s23, s43 = symbols('s13 s23 s43') |
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29 x, y, z, w = symbols('x y z w') |
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30 |
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31 A = Matrix([[ 1, 0, s13, 0 ], |
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32 [ 0, 1, s23, 0 ], |
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33 [ 0, 0, 1, 0 ], |
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34 [ 0, 0, s43, 1 ]]) |
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35 |
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36 print('\nLacroute\'s shear matrix (A.14) is:') |
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37 pprint.pprint(A) |
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38 |
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39 # At this point, we can write "print(A*p)". However, we don't care |
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40 # about the output "z" axis, as it is fixed. So we delete the 3rd row |
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41 # of A. |
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42 |
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43 A.row_del(2) |
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44 |
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45 p = Matrix([ x, y, z, 1 ]) |
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46 |
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47 v = A*p |
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48 print('\nAction of Lacroute\'s shear matrix on plane z (taking w=1):\n%s\n' % v) |
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49 |
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50 print('Scaling = %s' % (1/v[2])) |
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51 print('Offset X = %s' % (v[0]/v[2]).subs(x, 0)) |
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52 print('Offset Y = %s' % (v[1]/v[2]).subs(y, 0)) |