CS 450: Introduction to Digital Signal and Image Processing - Image Arithmetic

CS 450: Introduction to Digital Signal and Image Processing - Image Arithmetic includes Image Arithmetic; Image Subtraction; Background Subtraction; Motion; Digital Subtraction Angiography; Multiplication; Alpha Blending; Image Averaging.

CS 450: Introduction to Digital  Signal and Image Processing

Image Arithmetic

Image-Image Operations:

C[x, y] f (A[x, y], B[x, y])

Used to create double-exposures

C[x, y] A[x, y] B[x, y]

Useful for finding changes between two

images of (basically) the same scene

More useful to use absolute difference

C[x, y] A[x, y] B[x, y]

C[x, y] A[x, y] B[x,y]

“What’s changed?”

(absolute difference)

Use differencing to identify motion in an otherwise unchanging scene

i.e., object motion, not camera motion

Medical imaging technique used to see blood vessels

Take one X-ray

Inject a contrast agent

Take another X-ray

Subtract the first (background) from the second (background + vessels)

Useful for Masking

Addition of two images, each with (0 1) fractional masking weights

Useful for transparency, compositing, etc Color images are often stored as RGB

or RGBA

Average multiple images (frames) of the same scene together

Useful for removing noise