Question

Which of the following expression is used to denote spatial domain process?

(a) g(x,y)=T[f(x,y)]

(b) f(x+y)=T[g(x+y)]

(c) g(xy)=T[f(xy)]

(d) g(x-y)=T[f(x-y)]

The question was posed to me in an interview.

The query is from Basic Intensity Transformation Functions topic in portion Intensity Transformations and Spatial Filtering of Digital Image Processing

Answer 1

Right choice is (a) g(x,y)=T[f(x,y)]

For explanation I would say: Spatial domain processes will be denoted by the expression g(x,y)=T[f(x,y)], where f(x,y) is the input image, g(x,y) is the processed image, and T is an operator on f, defined over some neighborhood of (x, y). In addition, T can operate on a set of input images, such as performing the pixel-by-pixel sum of K images for noise reduction.