Normalization of points on an Elliptic Curve
This is just about the representation of the point on the curve.


In the affine form of elliptic curve points, $(x,y)$ is the representation of points. But in the projective coordination, points are in the form $(X:Y:Z)$. Let $K$ be a field, and let $c$ and $d$ be positive integers and $\lambda\in K^*$. In this representation $(X:Y:Z)\sim (\lambda ^cX:\lambda ^dY:\lambda Z) $. That is, any element of an equivalence class can serve as its representative. In particular, if $Z\ne 0$ then  $(\frac{X}{\lambda ^c}:\frac{Y}{\lambda ^d}:1) $ is a
representative of the projective point $(X:Y:Z)$, and in fact is the only representative
with $Z$-coordinate equal to $1$. In this state, affine form of points is $(x,y)=(\frac{X}{Z ^c},\frac{Y}{Z ^d})=(X,Y)$.

For more details you can see page $86$ of "Guide to elliptic curve cryptography", Hankerson, ....