Derivation, Algorithm and Drawback of PSEUDO CIRCLE DRAWING Algorithm.

Derivation, Algorithm and Drawback of  PSEUDO CIRCLE DRAWING Algorithm.

DERIVATION :

                            The locus of all those points that are situated at equal distance from a fixed point (Xc , Yc).

(X - Xc)2 + (Y - Yc)2 = r2

Y = Yc + sqrt(r2 – (X - Xc)2)

Y = Yc - sqrt(r2 – (X - Xc)2)

Xc – r <= X <= Xc + r

ALGORITHM OF PSEUDO CIRCLE DRAWING :

Begin :

              Read (Xc , Yc ) and r

              X = X-r , Y = Yc

              while(X <= Xc+r)

              {

                   plotpoint (X , Yc + sqrt(r2 – (X - Xc)2) )   

                   plotpoint (X , Yc - sqrt(r2 – (X - Xc)2) )

                   X++

              }

End

DRAWBACK OF PSEUDO CIRCLE DRAWING:

•     Round of error.
•    Floating point operation.
•    Stair case output.