Scipy > API > Delaunay試してみた > QhullオプションがMATLABとは異なる
動作環境
GeForce GTX 1070 (8GB)
ASRock Z170M Pro4S [Intel Z170chipset]
Ubuntu 16.04 LTS desktop amd64
TensorFlow v1.2.1
cuDNN v5.1 for Linux
CUDA v8.0
Python 3.5.2
IPython 6.0.0 -- An enhanced Interactive Python.
gcc (Ubuntu 5.4.0-6ubuntu1~16.04.4) 5.4.0 20160609
GNU bash, version 4.3.48(1)-release (x86_64-pc-linux-gnu)
scipy v0.19.1
geopandas v0.3.0
MATLAB R2017b (Home Edition)
関連
MATLAB > API > Delaunay | Voronoi 試してみた
geometry > Voronoi を試してみた (2D, 3D)
Scipy
入力データ
delaunay_input_171118.txt
0.0000000e+00 8.5065081e-01 5.2573111e-01
0.0000000e+00 -8.5065081e-01 5.2573111e-01
0.0000000e+00 8.5065081e-01 -5.2573111e-01
0.0000000e+00 -8.5065081e-01 -5.2573111e-01
5.2573111e-01 0.0000000e+00 8.5065081e-01
-5.2573111e-01 0.0000000e+00 8.5065081e-01
5.2573111e-01 0.0000000e+00 -8.5065081e-01
-5.2573111e-01 0.0000000e+00 -8.5065081e-01
8.5065081e-01 5.2573111e-01 0.0000000e+00
-8.5065081e-01 5.2573111e-01 0.0000000e+00
8.5065081e-01 -5.2573111e-01 0.0000000e+00
-8.5065081e-01 -5.2573111e-01 0.0000000e+00
code v0.1
test_scipy_delaunay_171118.py
import numpy as np
from scipy.spatial import Delaunay
IN_FILE = 'delaunay_input_171118.txt'
xyz = np.genfromtxt(IN_FILE, delimiter=' ')
print("---xyz---")
print(xyz)
print("---dln---")
dln = Delaunay(xyz)
print(dln.simplices)
run
$ python3 test_scipy_delaunay_171118.py
---xyz---
[[ 0. 0.85065081 0.52573111]
[ 0. -0.85065081 0.52573111]
[ 0. 0.85065081 -0.52573111]
[ 0. -0.85065081 -0.52573111]
[ 0.52573111 0. 0.85065081]
[-0.52573111 0. 0.85065081]
[ 0.52573111 0. -0.85065081]
[-0.52573111 0. -0.85065081]
[ 0.85065081 0.52573111 0. ]
[-0.85065081 0.52573111 0. ]
[ 0.85065081 -0.52573111 0. ]
[-0.85065081 -0.52573111 0. ]]
---dln---
[[ 7 11 5 1]
[ 7 10 3 1]
[ 7 0 5 4]
[ 7 2 6 8]
[ 7 10 4 1]
[ 7 5 4 1]
[ 7 0 5 9]
[ 7 11 3 1]
[ 7 10 3 6]
[ 7 11 5 9]
[ 7 0 2 8]
[ 7 10 4 8]
[ 7 10 6 8]
[ 7 0 2 9]
[ 7 0 4 8]]
期待していた出力
上記の結果は下記と異なる。データセットの数が上記は１５，下記は２０個。上記では左端に７が出て、下記では左端の値が様々。
tri_bef_171118.txt
3.0000000e+00 2.0000000e+00 7.0000000e+00 1.0000000e+00
2.0000000e+00 3.0000000e+00 6.0000000e+00 1.0000000e+00
4.0000000e+00 3.0000000e+00 6.0000000e+00 2.0000000e+00
3.0000000e+00 1.0000000e+01 6.0000000e+00 1.0000000e+00
1.1000000e+01 7.0000000e+00 2.0000000e+00 5.0000000e+00
7.0000000e+00 2.0000000e+00 5.0000000e+00 1.0000000e+00
8.0000000e+00 1.2000000e+01 6.0000000e+00 1.0000000e+01
4.0000000e+00 1.2000000e+01 6.0000000e+00 8.0000000e+00
4.0000000e+00 8.0000000e+00 6.0000000e+00 3.0000000e+00
8.0000000e+00 1.0000000e+01 6.0000000e+00 3.0000000e+00
5.0000000e+00 2.0000000e+00 6.0000000e+00 1.0000000e+00
3.0000000e+00 1.1000000e+01 9.0000000e+00 1.0000000e+00
3.0000000e+00 7.0000000e+00 1.1000000e+01 1.0000000e+00
7.0000000e+00 5.0000000e+00 1.1000000e+01 1.0000000e+00
1.1000000e+01 5.0000000e+00 9.0000000e+00 1.0000000e+00
6.0000000e+00 1.2000000e+01 4.0000000e+00 2.0000000e+00
3.0000000e+00 4.0000000e+00 7.0000000e+00 2.0000000e+00
8.0000000e+00 4.0000000e+00 7.0000000e+00 3.0000000e+00
1.1000000e+01 4.0000000e+00 2.0000000e+00 7.0000000e+00
3.0000000e+00 7.0000000e+00 9.0000000e+00 1.1000000e+01
それぞれの定義の理解が必要だ。
code v0.2
https://stackoverflow.com/questions/36604172/difference-between-matlab-delaunayn-and-scipy-delaunay
Qhullのオプションの違いなのかもしれない。
test_scipy_delaunay_171118.py
import numpy as np
from scipy.spatial import Delaunay
IN_FILE = 'delaunay_input_171118.txt'
xyz = np.genfromtxt(IN_FILE, delimiter=' ')
print("---xyz---")
print(xyz)
print("---dln---")
dln = Delaunay(xyz, qhull_options="Qt Qbb Qc")
print(dln.simplices)
print("---coplanar---")
print(dln.coplanar)
Qzを付けないとエラーになる。
$ python3 test_scipy_delaunay_171118.py
(前略)
---dln---
Traceback (most recent call last):
File "test_scipy_delaunay_171118.py", line 10, in <module>
dln = Delaunay(xyz, qhull_options="Qt Qbb Qc")
File "scipy/spatial/qhull.pyx", line 1882, in scipy.spatial.qhull.Delaunay.__init__ (scipy/spatial/qhull.c:18174)
File "scipy/spatial/qhull.pyx", line 434, in scipy.spatial.qhull._Qhull.__init__ (scipy/spatial/qhull.c:5799)
scipy.spatial.qhull.QhullError: QH6019 qhull input error: can not scale last coordinate. Input is cocircular
or cospherical. Use option 'Qz' to add a point at infinity.
While executing: | qhull d Qbb Qc Qt
Options selected for Qhull 2015.2.r 2016/01/18:
run-id 950178010 delaunay Qbbound-last Qcoplanar-keep Qtriangulate
_pre-merge _zero-centrum Qinterior-keep Pgood
Author And Source
この問題について(Scipy > API > Delaunay試してみた > QhullオプションがMATLABとは異なる), 我々は、より多くの情報をここで見つけました https://qiita.com/7of9/items/a4e6da3fec68c6764903著者帰属：元の著者の情報は、元のURLに含まれています。著作権は原作者に属する。
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