【问题标题】：How can I scale the length of a line and obtain the corresponding co-ordinates ((x1, y1), (x2, y2)) in Python?如何在Python中缩放一条线的长度并获得相应的坐标（（x1，y1），（x2，y2））？
【发布时间】：2022-12-21 00:35:47
【问题描述】：
我有一条线，有两组坐标 (x1, y1) 和 (x2, y2) 对应于点 A 和 B。
我可以使用以下方法计算这两点之间的欧氏距离（L2 范数）：
point_a = (189, 45)
point_b = (387, 614)
line= (point_a, point_b)
point_array = np.array(line)
distance = np.linalg.norm(point_array)
print('Euclidean distance = ', distance)```
How is it possible to obtain the co-ordinates for the line scaled about it's midpoint?
i.e. I would like to scale the length of the line but keep the angle.
【问题讨论】：
标签：
python
numpy
vector
2d
line
【解决方案1】：
为此，你必须像这样用中点来做。
import numpy as np
# Define the two points as a NumPy array
points = np.array([[189, 45], [387, 614]])
# Calculate the midpoint of the line
midpoint = points.mean(axis=0)
# Calculate the scaling factor
scale_factor = 2
# Scale the coordinates of the two points about the midpoint
scaled_points = midpoint + (points - midpoint) * scale_factor
# Print the scaled points
print(scaled_points)