3
What is an image?
We can think of an image as a function, f, from R2 to R:
wf( x, y ) gives the intensity at position ( x, y )
wRealistically, we expect the image only to be defined over a rectangle, with a finite range:
•f: [a,b]x[c,d] à [0,1]
A color image is just three functions pasted together.  We can write this as a “vector-valued” function: