Question

The scale factor of viewport transformation for x co-ordinate is ________

(a) Sx = (svmax – svmin)/ (swmax – swmin)

(b) Sx = (svmax – svmin)/ (swmax + swmin)

(c) Sx = (svmin – svmax)/ (swmax – swmin)

(d) Sx = (svmax + svmin)/ (swmax – swmin)

This question was posed to me in final exam.

I would like to ask this question from Window to Viewport Coordinate Transformation topic in division 2D Transformation and Viewing of Computer Graphics

Answer 1

The correct answer is (a) Sx = (svmax – svmin)/ (swmax – swmin)

For explanation: The mapping or transformation involves developing formulas that start with a point in the world window, say (xw, yw). The formula is used to produce a corresponding point in viewport coordinates, say (xv, yv). So after keeping it proportional in ‘x’ co-ordinate, we get, (svmax– svmin)/ (swmax – swmin).