What is affine transformation

Explain the term affine transformation?

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A coordinate transformation of form:

X= axxx + axyy + bx , y ’ ayxx + ayy y +by,

is known as a two-dimensional affine transformation. Each of the transformed coordinates x ‘and y ‘refers to the linear function of original coordinates x and y, and parameters aij and bk are constants that are calculated by the transformation type. 

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