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annotate OrthancStone/Resources/Computations/IntersectSegmentAndHorizontalLine.py @ 1811:fdc6a8089eb9

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author Sebastien Jodogne <s.jodogne@gmail.com>
date Tue, 25 May 2021 11:29:53 +0200
parents 9ac2a65d4172
children 3889ae96d2e9
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1 #!/usr/bin/env python
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2
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3 # Stone of Orthanc
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4 # Copyright (C) 2012-2016 Sebastien Jodogne, Medical Physics
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5 # Department, University Hospital of Liege, Belgium
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6 # Copyright (C) 2017-2021 Osimis S.A., Belgium
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7 #
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8 # This program is free software: you can redistribute it and/or
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9 # modify it under the terms of the GNU Lesser General Public License
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10 # as published by the Free Software Foundation, either version 3 of
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11 # the License, or (at your option) any later version.
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12 #
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13 # This program is distributed in the hope that it will be useful, but
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14 # WITHOUT ANY WARRANTY; without even the implied warranty of
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15 # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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16 # Lesser General Public License for more details.
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17 #
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18 # You should have received a copy of the GNU Lesser General Public
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19 # License along with this program. If not, see
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20 # <http://www.gnu.org/licenses/>.
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23 from sympy import *
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24
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25 # Intersection between the 2D line segment (prevX,prevY)-(curX,curY) and the
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26 # horizontal line "y = y0" using homogeneous coordinates
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27
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28 prevX, prevY, curX, curY, y0 = symbols('prevX prevY curX curY y0')
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29
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30 p1 = Matrix([prevX, prevY, 1])
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31 p2 = Matrix([curX, curY, 1])
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32 l1 = p1.cross(p2)
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33
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34 h1 = Matrix([0, y0, 1])
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35 h2 = Matrix([1, y0, 1])
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36 l2 = h1.cross(h2)
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38 a = l1.cross(l2)
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40 #pprint(cse(a/a[2], symbols = symbols('a b')))
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41 pprint(a / a[2])