annotate OrthancStone/Resources/Computations/IntersectSegmentAndVerticalLine.py @ 1512:244ad1e4e76a

reorganization of folders
author Sebastien Jodogne <s.jodogne@gmail.com>
date Tue, 07 Jul 2020 16:21:02 +0200
parents Resources/Computations/IntersectSegmentAndVerticalLine.py@35c2b85836ce
children 8c5f9864545f
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
35c2b85836ce fix rtstruct projections
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
3 from sympy import *
35c2b85836ce fix rtstruct projections
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
4
35c2b85836ce fix rtstruct projections
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
5 # 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
6 # vertical line "x = x0" using homogeneous coordinates
35c2b85836ce fix rtstruct projections
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
7
35c2b85836ce fix rtstruct projections
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
8 prevX, prevY, curX, curY, x0 = symbols('prevX prevY curX curY x0')
35c2b85836ce fix rtstruct projections
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
9
35c2b85836ce fix rtstruct projections
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
10 p1 = Matrix([prevX, prevY, 1])
35c2b85836ce fix rtstruct projections
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
11 p2 = Matrix([curX, curY, 1])
35c2b85836ce fix rtstruct projections
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
12 l1 = p1.cross(p2)
35c2b85836ce fix rtstruct projections
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
13
35c2b85836ce fix rtstruct projections
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
14 h1 = Matrix([x0, 0, 1])
35c2b85836ce fix rtstruct projections
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
15 h2 = Matrix([x0, 1, 1])
35c2b85836ce fix rtstruct projections
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
16 l2 = h1.cross(h2)
35c2b85836ce fix rtstruct projections
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
17
35c2b85836ce fix rtstruct projections
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
18 a = l1.cross(l2)
35c2b85836ce fix rtstruct projections
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
19
35c2b85836ce fix rtstruct projections
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
20 pprint(a / a[2])