machinevisiontoolbox.Image.upq

Image.upq(p, q)

Central image moments

Parameters:

• p (int) – u exponent

• q (int) – v exponent

Returns:

moment

Type:

scalar

Computes the pq’th central moment of the image:

\[\mu(I) = \sum_{uv} I_{uv} (u-u_0)^p (v-v_0)^q\]

where \(u_0 = m_{10}(I) / m_{00}(I)\) and \(v_0 = m_{01}(I) / m_{00}(I)\).

Example:

>>> from machinevisiontoolbox import Image
>>> img = Image.Read('shark1.png')
>>> img.upq(2, 2)
922044470450.7101

Note:

• The central moments are invariant to translation.

• Supports single channel images only.

References:

• Robotics, Vision & Control for Python, Section 12.1.3.4, P. Corke, Springer 2023.

Seealso:

sum mpq upq