Image Algebra

There are two primary categories of algebraic operations applied to
image:
1. Arithmetic operations.
Such as: (Addition, subtraction, division and multiplications).
2. Logic operations.
Such as:(AND, OR and NOT). These operations which require only one
image, and are done on a pixel –by-pixel basis.
Arithmetic operations
To apply the arithmetic operations to two images, we simply operate
on corresponding pixel values. For example to add image I1 and I2 to
create I3:
• Addition is used to combine the information in two images.
Applications include development of image restoration algorithm for
molding additive noise, and special effects, such as image morphing in
motion pictures.
• Subtraction of two images is often used to detect motion consider the
case where nothing has changed in a sense; the image resulting from
subtraction of two sequential image is filled with zero-a black image.If
something has moved in the scene, subtraction produces a nonzero result
at the location of movement. Applications include Object tracking ,
Medical imaging, Law enforcement and Military applications.