Define the term Affine transformation

Question

Define the term Affine transformation? Briefly illustrate it.

Answer 1

The coordinate transformation of the form:

X= a_xxx  + a_xyy + bx ,  y ’ a_yxx + a_yy y +b_y

is termed as a 2-dimensional affine transformation. Each of the transformed coordinates x‘and y‘ is the linear function of original coordinates x and y, and parameters aij and bk are constants find out by the transformation kind.