查找两个 2D 数据点的最佳转换矩阵

Question

如何找到对齐两个 2D 点集以获得最小均方误差值的最佳变换矩阵。 这段代码是我所做的，但这是不对的：tform * src。

import numpy as np
from skimage import transform as tf
from sklearn.metrics import mean_squared_error
# estimate transformation parameters
src = np.array([0, 0, 10, 10]).reshape((2, 2))
dst = np.array([12, 14, 1, -20]).reshape((2, 2))
tform = tf.estimate_transform('similarity', src, dst)
print(src)
print(dst)
print(tform.params)
msq=mean_squared_error(tform*src,dst)

Answer 1

终于我能找到我的问题的正确答案

了

import numpy as np
from skimage import transform as tf
from sklearn.metrics import mean_squared_error
# estimate transformation parameters
src = np.array([0,0 , 1,0 , 1,1 , 0,1]).reshape((4, 2))
dst = np.array([3,1 , 3,2 , 2,2 , 2,1]).reshape((4, 2))
tform = tf.estimate_transform('similarity', src, dst)
#tform is the transformation matrix for these data to align them
print(src)
print(dst)
print(tform.params)
mt = tf.matrix_transform(src, tform.params)#mt is the same dst
mean_squared_error(mt,dst) #should be zero
print( '{:.10f}'.format(mean_squared_error(mt,dst)) )