Mercurial > hg > orthanc-stone

annotate OrthancStone/Resources/Computations/ComputeShearOnSlice.py @ 1715:1952162474c3

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
A few æsthetic changes in the text body
author Benjamin Golinvaux <bgo@osimis.io>
date Tue, 01 Dec 2020 08:31:16 +0100
parents 8563ea5d8ae4
children 9ac2a65d4172
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
191
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
1 #!/usr/bin/python
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
2
1589
8c5f9864545f adding missing headers
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 1512
diff changeset
3 # Stone of Orthanc
8c5f9864545f adding missing headers
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 1512
diff changeset
4 # Copyright (C) 2012-2016 Sebastien Jodogne, Medical Physics
8c5f9864545f adding missing headers
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 1512
diff changeset
5 # Department, University Hospital of Liege, Belgium
8c5f9864545f adding missing headers
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 1512
diff changeset
6 # Copyright (C) 2017-2020 Osimis S.A., Belgium
8c5f9864545f adding missing headers
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 1512
diff changeset
7 #
8c5f9864545f adding missing headers
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 1512
diff changeset
8 # This program is free software: you can redistribute it and/or
1598
8563ea5d8ae4 relicensing some files, cf. osimis bm26 and chu agreement on 2020-05-20
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 1589
diff changeset
9 # modify it under the terms of the GNU Lesser General Public License
1589
8c5f9864545f adding missing headers
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 1512
diff changeset
10 # as published by the Free Software Foundation, either version 3 of
8c5f9864545f adding missing headers
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 1512
diff changeset
11 # the License, or (at your option) any later version.
8c5f9864545f adding missing headers
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 1512
diff changeset
12 #
8c5f9864545f adding missing headers
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 1512
diff changeset
13 # This program is distributed in the hope that it will be useful, but
8c5f9864545f adding missing headers
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 1512
diff changeset
14 # WITHOUT ANY WARRANTY; without even the implied warranty of
1598
8563ea5d8ae4 relicensing some files, cf. osimis bm26 and chu agreement on 2020-05-20
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 1589
diff changeset
15 # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
8563ea5d8ae4 relicensing some files, cf. osimis bm26 and chu agreement on 2020-05-20
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 1589
diff changeset
16 # Lesser General Public License for more details.
1589
8c5f9864545f adding missing headers
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 1512
diff changeset
17 #
1598
8563ea5d8ae4 relicensing some files, cf. osimis bm26 and chu agreement on 2020-05-20
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 1589
diff changeset
18 # You should have received a copy of the GNU Lesser General Public
8563ea5d8ae4 relicensing some files, cf. osimis bm26 and chu agreement on 2020-05-20
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 1589
diff changeset
19 # License along with this program. If not, see
8563ea5d8ae4 relicensing some files, cf. osimis bm26 and chu agreement on 2020-05-20
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 1589
diff changeset
20 # <http://www.gnu.org/licenses/>.
1589
8c5f9864545f adding missing headers
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 1512
diff changeset
21
8c5f9864545f adding missing headers
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 1512
diff changeset
22
191
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
23 from sympy import *
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
24 import pprint
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
25
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
26 init_printing(use_unicode=True)
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
27
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
28
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
29 # Setup "T * S * M_shear" (Equation A.16)
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
30
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
31 ex, ey, ew = symbols('ex ey ew')
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
32 sx, sy = symbols('sx, sy')
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
33 ti, tj = symbols('ti tj')
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
34
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
35 T = Matrix([[ 1, 0, 0, ti ],
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
36 [ 0, 1, 0, tj ],
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
37 [ 0, 0, 1, 0 ],
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
38 [ 0, 0, 0, 1 ]])
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
39
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
40 # Equation (A.15), if "sx == sy == f"
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
41 S = Matrix([[ sx, 0, 0, 0 ],
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
42 [ 0, sy, 0, 0 ],
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
43 [ 0, 0, 1, 0 ],
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
44 [ 0, 0, 0, 1 ]])
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
45
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
46 # MM_shear, in Equation (A.14)
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
47 M = Matrix([[ 1, 0, ex, 0 ],
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
48 [ 0, 1, ey, 0 ],
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
49 [ 0, 0, 1, 0 ],
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
50 [ 0, 0, ew, 1 ]])
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
51
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
52
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
53 x, y, z, w = symbols('x y z w')
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
54 p = Matrix([ x, y, z, w ])
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
55
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
56 print("\nT =" % T)
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
57 pprint.pprint(T);
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
58
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
59 print("\nS =" % T)
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
60 pprint.pprint(S);
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
61
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
62 print("\nM'_shear =" % T)
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
63 pprint.pprint(M);
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
64
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
65 print("\nGeneral form of a Lacroute's shear matrix (Equation A.16): T * S * M'_shear =")
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
66 pprint.pprint(T * S * M);
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
67
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
68 print("\nHence, alternative parametrization:")
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
69 a11, a13, a14, a22, a23, a24, a43 = symbols('a11 a13 a14 a22 a23 a24 a43')
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
70
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
71 A = Matrix([[ a11, 0, a13, a14 ],
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
72 [ 0, a22, a23, a24 ],
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
73 [ 0, 0, 1, 0 ],
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
74 [ 0, 0, a43, 1 ]])
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
75 pprint.pprint(A);
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
76
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
77 v = A * p
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
78 v = v.subs(w, 1)
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
79
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
80 print("\nAction of Lacroute's shear matrix A on plane z (taking w=1):\n%s\n" % v)
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
81
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
82 print('Output x\' = %s\n' % (v[0]/v[3]))
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
83 print('Output y\' = %s\n' % (v[1]/v[3]))
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
84 print('Output z\' = %s\n' % (v[2]/v[3]))