Mercurial > hg > orthanc-stone

annotate Resources/Computations/IntersectSegmentAndVerticalLine.py @ 427:3f9017db1738 am-vsol-upgrade-radiography-export

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
wip
author am@osimis.io
date Fri, 23 Nov 2018 16:06:23 +0100
parents 35c2b85836ce
children
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])