import numpy as np
x = np.tile([1,2,3,4],8)
y = np.repeat([1,2,3,4,5,6,7,8],4)
A = np.vstack((x,y)) # just a quick example
# Rotation matrix as in e.g. https://en.wikipedia.org/wiki/Rotation_matrix
theta = -np.pi / 4
rotate = np.array([
[np.cos(theta), -np.sin(theta)],
[np.sin(theta), np.cos(theta)]
])
# Translation vector is the mean of all xs and ys.
translate = A.mean(axis=1, keepdims=True)
应用变换:
out = A - translate # Step 1
out = rotate @ out # Step 2
out = out + translate # Step 3
1条答案
按热度按时间j0pj023g1#
步骤:
1.使用平移使数据在原点居中
1.围绕原点旋转数据(顺时针旋转45度=-pi/4弧度)
1.将数据转换回原始中心
使用一些线性代数:
应用变换: