Q 1. Given a horizontal line of pixels, numbered from f (first) to / (last), tha

Question

Q 1. Given a horizontal line of pixels, numbered from f (first) to / (last), that has to be mapped to a segment of the X-axis from startx to endx. Derive a formula that will map any pixel to a point on the X- axis. Q 2. Given a vertical line of pixels, numbered from t (top) to b(bottom), that has to be mapped to a segment of the Y-axis from starty to endy. Derive a formula that will map any point on this segment of the Y-axis to the appropriate pixel. Note that t maps to endy and b maps to starty

Explanation / Answer

Answer :

1) f(first) has to be mapped with startx and l(last) with endx.

Let us denote the pixels with numbers 1,2,3,...N

Where f(first) = (1)

And l(last) = (N)

So general formula for nth pixel lying between 1 to N is :

(n)th pixel = startx + (n-1) on x axis

2) similarly taking b(bottom ) as 1 and top as N here, to map the N pixels on y axis the general formula is:

nth pixel = starty + (n-1)

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