python Zernike矩计算中心
时间: 2023-10-15 14:31:26 浏览: 66
在Python中计算Zernike矩的中心可以通过以下步骤实现:
1. 导入所需的库:
```python
import numpy as np
from scipy.special import comb, zernike
```
2. 定义一个函数来计算Zernike矩的中心:
```python
def calculate_zernike_moments(image, order):
height, width = image.shape
center_y, center_x = height / 2, width / 2
zernike_moments = []
for n in range(order + 1):
for m in range(n + 1):
if (n - m) % 2 == 0:
R_nm = zernike(n, m)
integral = 0
for y in range(height):
for x in range(width):
r = np.sqrt((x - center_x) ** 2 + (y - center_y) ** 2)
if r <= min(center_x, center_y):
theta = np.arctan2(y - center_y, x - center_x)
integral += image[y, x] * R_nm(r, theta)
norm_factor = (n + 1) * (2 - int(m == 0)) / np.pi
zernike_moments.append(integral * norm_factor)
return zernike_moments
```
3. 调用该函数计算Zernike矩的中心:
```python
image = ... # 输入你的图像数据
order = ... # 输入所需的Zernike矩的阶数
zernike_moments = calculate_zernike_moments(image, order)
```
这样,`zernike_moments` 将会是一个包含所有Zernike矩的中心值的列表。请注意,这里假设你已经有了一个输入图像 `image` 的数据,并且你还需要提供所需的Zernike矩的阶数 `order`。