在2D numpy数组中找到给定角度的最近项目

Question

给定一个numpy 2D数组，给定角度从指定坐标（其中'X'所在位置）获取最近项（对于此示例'1'）的最佳方法是什么。

例如，假设我们在下面显示的2D数组中的“X”位于（1,25）。假设角度为225度，假设0度直接向右，90度直线向上。如何获得朝向该矢量方向的“1”的最近坐标？

[
0000000000000000000000000000
0000000000000000000000000X00
0000000000000000000000000000
1110000000000000000000000000
1111100000000000000000000000
1111110000000000000000000000
1111111000000000000000000000
1111111110000000000000000000
1111111111100000000000000000
]

Answer 1

我假设朝那个方向你的意思就像在那条光线上。在那种情况下255°没有解决方案所以我冒昧地将其改为195°。

然后你可以强制它：

import numpy as np

a = """
0000000000000000000000000000
0000000000000000000000000X00
0000000000000000000000000000
1110000000000000000000000000
1111100000000000000000000000
1111110000000000000000000000
1111111000000000000000000000
1111111110000000000000000000
1111111111100000000000000000
"""

a = np.array([[int(i) for i in row] for row in a.strip().replace('X', '2').split()], dtype=np.uint8)

x = np.argwhere(a==2)[0]
y = np.argwhere(a==1)
d = y-x

phi = 195 # 255 has no solutions

on_ray = np.abs(d@(np.sin(np.radians(-phi-90)), np.cos(np.radians(-phi-90))))<np.sqrt(0.5)

show_ray = np.zeros_like(a)
show_ray[tuple(y[on_ray].T)] = 1
print(show_ray)

ymin=y[on_ray][np.argmin(np.einsum('ij,ij->i', d[on_ray], d[on_ray]))]
print(ymin)

输出：

# [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
#  [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
#  [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
#  [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
#  [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
#  [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
#  [0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
#  [1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
#  [1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]]
# [6 6]