annotate OrthancStone/Resources/Computations/IntersectSegmentAndVerticalLine.py @ 1598:8563ea5d8ae4

relicensing some files, cf. osimis bm26 and chu agreement on 2020-05-20
author Sebastien Jodogne <s.jodogne@gmail.com>
date Mon, 26 Oct 2020 20:49:28 +0100
parents 8c5f9864545f
children 9ac2a65d4172
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
132
35c2b85836ce fix rtstruct projections
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
1 #!/usr/bin/env python
35c2b85836ce fix rtstruct projections
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
132
35c2b85836ce fix rtstruct projections
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
23 from sympy import *
35c2b85836ce fix rtstruct projections
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
24
35c2b85836ce fix rtstruct projections
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
25 # Intersection between the 2D line segment (prevX,prevY)-(curX,curY) and the
35c2b85836ce fix rtstruct projections
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
26 # vertical line "x = x0" using homogeneous coordinates
35c2b85836ce fix rtstruct projections
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
27
35c2b85836ce fix rtstruct projections
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
28 prevX, prevY, curX, curY, x0 = symbols('prevX prevY curX curY x0')
35c2b85836ce fix rtstruct projections
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
29
35c2b85836ce fix rtstruct projections
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
30 p1 = Matrix([prevX, prevY, 1])
35c2b85836ce fix rtstruct projections
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
31 p2 = Matrix([curX, curY, 1])
35c2b85836ce fix rtstruct projections
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
32 l1 = p1.cross(p2)
35c2b85836ce fix rtstruct projections
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
33
35c2b85836ce fix rtstruct projections
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
34 h1 = Matrix([x0, 0, 1])
35c2b85836ce fix rtstruct projections
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
35 h2 = Matrix([x0, 1, 1])
35c2b85836ce fix rtstruct projections
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
36 l2 = h1.cross(h2)
35c2b85836ce fix rtstruct projections
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
37
35c2b85836ce fix rtstruct projections
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
38 a = l1.cross(l2)
35c2b85836ce fix rtstruct projections
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
39
35c2b85836ce fix rtstruct projections
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
40 pprint(a / a[2])