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Question

Which of the following algorithms is not used for line clipping?

The correct answer is

Southerland-Hodgeman algorithm

Sutherland–Hodgman is a polygon-clipping algorithm: it clips a polygon successively against the clipping-window boundaries. Cohen–Sutherland, Liang–Barsky and Nicholl–Lee–Nicholl are line-clipping algorithms.

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Important Questions from Two Dimensional Geometric

  1. Consider the midpoint (or Bresenham) algorithm for rasterizing lines given below:

    (1) Input (x 1, y 1) and (x 2, y 2)

    (2) y = y 1

    (3) d = f(x 1+ 1, y 1+ ½) // f is the implicit form of a line

    (4) for x = x 1 to x 2

    (5) do

    (6) plot(x,y)

    (7) if(d<0)

    (8) then

    (9) y = y + 1

    (10) d = d + (y 1- y 2) + (x 2- x 1)

    (11) else

    (12) d = d + (y 1- y 2)

    (13) end

    (14) end

    Which statements are true?

    P: For a line with slope m>1, we should change the outer loop in line (4) to be over y.

    Q: Lines (10) and (12) update the decision variable d through an incremental evaluation of the line equation f.

    R: The algorithm fails if d is ever 0.

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