在某些行/列值处提取子矩阵

时间:2018-01-18 20:20:34

标签: python matrix slice

我需要从行/列索引和切片距离切片2D输入数组。在下面的例子中,我可以从输入矩阵中提取一个3x3子矩阵,但是我无法使这段代码适用于我想要的任何搜索距离,而无需手动写下索引:

示例:

import numpy as np

# create matrix
mat_A = np.arange(100).reshape((10, 10))

row = 5
col = 5

# Build 3x3 matrix around the centre point
matrix_three = ((row - 1, col - 1),
                (row, col - 1),
                (row + 1, col - 1),
                (row - 1, col),
                (row, col),  # centre point
                (row + 1, col),
                (row - 1, col + 1),
                (row, col + 1),
                (row + 1, col + 1))

list_matrix_max_values = []

for loc in matrix_three:
    val = mat_A[loc[0]][loc[1]]
    list_matrix_max_values.append(val)


submatrix = np.matrix(list_matrix_max_values)
print(submatrix)

返回:

[[44 54 64 45 55 65 46 56 66]]

如果我希望例如在我的row / col索引定义的单元格周围提取5x5矩阵,我该如何做同样的事情? 提前谢谢!

2 个答案:

答案 0 :(得分:2)

Numpy具有矩阵切片,因此您可以对行和列进行切片。

mat_A[4:7, 4:7]

返回

  [[44, 45, 46],
   [54, 55, 56],
   [64, 65, 66]]

答案 1 :(得分:1)

S=3 # window "radius"; S=3 gives a 5x5 submatrix
mat_A[row-S+1:row+S,col-S+1:col+S]
#array([[33, 34, 35, 36, 37],
#       [43, 44, 45, 46, 47],
#       [53, 54, 55, 56, 57],
#       [63, 64, 65, 66, 67],
#       [73, 74, 75, 76, 77]])