geometry > 中心からの線とstar shape(星形)のedgeの交点を見つけて、線分を引く (平面角すべての範囲で行う) > find_rayCrossing_starShapedEged_180417 v0.5

動作環境

GeForce GTX 1070 (8GB)
ASRock Z170M Pro4S [Intel Z170chipset]
Ubuntu 16.04.4 LTS desktop amd64
TensorFlow v1.7.0
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)
ADDA v.1.3b6
gnustep-gui-runtime v0.24.0-3.1
PyMieScatt v1.7.0

前回: geometry > 中心からの線と交わるstar shape(星形)のedgeとその交点を探す > find_rayCrossing_starShapedEged_180417 v0.4 > sympy intersection使用

処理概要

• 星形の中心からrayを飛ばす
• rayとの交点を見つける
• 中心から交点までの線分を引く
• 中心からのrayの方向を平面角すべての範囲で処理する

code v0.5

find_rayCrossing_starShapedEged_180417.ipynb

%matplotlib inline

import numpy as np
import sympy as sp
import matplotlib.pyplot as plt
from pylab import rcParams
from itertools import combinations
import geometry_starShaped_180428 as GSS
#import geometry_lineintersect_180415 as GLI

'''
v0.5 Apr. 29, 2018
  - loop through [theta_deg]
  - add get_linesegment()
  - add calc_raylinegeometry()
v0.4 Apr. 29, 2018
  - find crossing point instead of crossing edge
     + remove: import [geometry_lineintersect_180415]
     + import sympy
v0.3 Apr. 28, 2018
  - import geometry_starShaped_180428 (v0.3)
v0.2 Apr. 28, 2018
  - exclude vertices pairs not included in the output from [geometry_starShaped_180428]
  - import geometry_starShaped_180428 (v0.2)
  - remove: import geometry_starShaped_180415
v0.1 Apr. 17, 2018
  - check the crossing   
      + import [geometry_lineintersect_180415]
  - define the ray from the center
    + draw the ray
    + add [xs_ray], [ys_ray]
    + add [theta_deg]
  - add idxs_seq[], combs[]
  - import [combinations]
  - branched from [geometry_starShaped_180414.ipynb]
'''

rcParams['figure.figsize'] = 14, 7
rcParams['figure.dpi'] = 110


def calc_raylinegeometry(theta_deg):
    # define the ray from the center
    radius = RAD_OUTER * 1.1  # 1.1 to cross the outmost edge
    xs_ray, ys_ray = [0.0], [0.0]  # center
    xs_ray += [radius * np.cos(np.deg2rad(theta_deg))]  # outmost
    ys_ray += [radius * np.sin(np.deg2rad(theta_deg))]  # outmost
    return xs_ray, ys_ray


def get_linesegment(xs, ys, idx0, idx1):
    pa1 = sp.Point(xs[idx0], ys[idx0])
    pa2 = sp.Point(xs[idx1], ys[idx1])
    return sp.Segment(pa1, pa2)


# 1. obtain star shaped points
RAD_INNER = 5
RAD_OUTER = 10
xs_str, ys_str, edgeidx = GSS.get_starShaped(RAD_INNER, RAD_OUTER)

# 2. obtain combinations of points
idxs_seq = range(len(xs_str))  # sequential indices to obtain combinations
combs = []  # combinations to obtain all the edges
for acomb in combinations(idxs_seq, 2):
    combs += [acomb]
print(combs)


fig = plt.figure()

ax1 = fig.add_subplot(1, 2, 1)
ax1.scatter(xs_str, ys_str)
ax1.set_xlabel('x')
ax1.set_ylabel('y')
ax1.grid(True)

# 3. fill inside star shape
RESOLUTION = 72
for theta_deg in np.linspace(0, 360, RESOLUTION):
    print(theta_deg, end=':')
    xs_ray, ys_ray = calc_raylinegeometry(theta_deg)

    # find crossing edges
    sga = get_linesegment(xs_ray, ys_ray, idx0=0, idx1=1)
    for aidx in combs:
        if list(aidx) not in edgeidx:
            continue
        b1 = np.array([xs_str[aidx[0]], ys_str[aidx[0]]])
        b2 = np.array([xs_str[aidx[1]], ys_str[aidx[1]]])
        sgb = get_linesegment(xs_str, ys_str, aidx[0], aidx[1])
        its = sp.intersection(sga, sgb)
        if its:
            xs_draw = [xs_ray[0], its[0][0]]
            ys_draw = [ys_ray[0], its[0][1]]
            ax1.plot(xs_draw, ys_draw)


fig.tight_layout()