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Tuesday 25 June 2013

Derivation,Algorithm and Drawback of PARAMETRIC Circle Drawing Algorithm.




Derivation,Algorithm and Drawback of PARAMETRIC Circle Drawing Algorithm.


DERIVATION :
                                   The locus of all those points that are situated at equal distance from a fixed point (Xc , Yc).
X – Xc = r cos(angle)
Y – Yc  = r sin(angle)
X = Xc + r cos(angle)
Y = Yc + r sin(angle)

ALGORITHM OF PARAMETRIC CIRCLE DRAWING :

Begin :
             Read (Xc , Yc) and r
             X = Xc , Y = Yc
             while(X <= Xc + r)
             {
                    plotpoint (X ,Y ) 
                    X++
             }
End


DRAWBACK OR PARAMETRIC CIRCLE DRAWING :
  •     Round of error.
  •    Floating point operation.
  •    Stair case output.

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