Mercurial > hg > orthanc-stone
annotate Resources/Computations/ComputeShearParameters.py @ 886:5cfb479fdbde am-dev
fix BasicScene WASM sample
author | Alain Mazy <alain@mazy.be> |
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date | Tue, 09 Jul 2019 17:36:47 +0200 |
parents | 46cb2eedc2e0 |
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rev | line source |
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191
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ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
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changeset
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1 #!/usr/bin/python |
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ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
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2 |
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ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
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3 from sympy import * |
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Sebastien Jodogne <s.jodogne@gmail.com>
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4 import pprint |
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Sebastien Jodogne <s.jodogne@gmail.com>
parents:
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5 |
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ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
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6 init_printing(use_unicode=True) |
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ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
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7 |
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ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
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8 s13, s23, s43 = symbols('s13 s23 s43') |
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ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
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9 x, y, z, w = symbols('x y z w') |
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ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
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10 |
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ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
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11 A = Matrix([[ 1, 0, s13, 0 ], |
46cb2eedc2e0
ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
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12 [ 0, 1, s23, 0 ], |
46cb2eedc2e0
ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff
changeset
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13 [ 0, 0, 1, 0 ], |
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ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff
changeset
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14 [ 0, 0, s43, 1 ]]) |
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ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
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15 |
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ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
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16 print('\nLacroute\'s shear matrix (A.14) is:') |
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ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
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17 pprint.pprint(A) |
46cb2eedc2e0
ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
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18 |
46cb2eedc2e0
ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
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19 # At this point, we can write "print(A*p)". However, we don't care |
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ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
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20 # about the output "z" axis, as it is fixed. So we delete the 3rd row |
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ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
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21 # of A. |
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ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
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22 |
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Sebastien Jodogne <s.jodogne@gmail.com>
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23 A.row_del(2) |
46cb2eedc2e0
ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
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24 |
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Sebastien Jodogne <s.jodogne@gmail.com>
parents:
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25 p = Matrix([ x, y, z, 1 ]) |
46cb2eedc2e0
ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
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26 |
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ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
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27 v = A*p |
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ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
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28 print('\nAction of Lacroute\'s shear matrix on plane z (taking w=1):\n%s\n' % v) |
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ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
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29 |
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Sebastien Jodogne <s.jodogne@gmail.com>
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30 print('Scaling = %s' % (1/v[2])) |
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Sebastien Jodogne <s.jodogne@gmail.com>
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31 print('Offset X = %s' % (v[0]/v[2]).subs(x, 0)) |
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Sebastien Jodogne <s.jodogne@gmail.com>
parents:
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32 print('Offset Y = %s' % (v[1]/v[2]).subs(y, 0)) |