Re: Affine transformation

On Sep 3, 3:12 pm, "feniks" <bartek.miel...@xxxxx> wrote:
Hi,
how to define affine transformation that transforms points [1,0], [2,0] and
[2,1] to points [0,1], [1/sqrt(2), 1+1/sqrt(2)] and [0,1+sqrt(2)] ?

One way to proceed is to consider the general case
of an affine transformation on R^2. Six (real)
parameters are required (four matrix entries and
a 2-vector), and you have six equations with which
to determine these (three 2-vector equations are
equivalent to six scalar equations).

If you understand the relationship between affine
and linear transformations sufficiently, it is
possible to find a shorter solution, almost by
inspection.

regards, chip

.

Quantcast