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FAQ:
Q: What are affine transforms?
A: The set of operations providing for all such transformations, are known as theaffine transforms. The affines include translations and all linear transformations, like scale, rotate, and shear. Original cylinder model Transformed cylinder.
Q: How do you find the scale of an affine transformation?
A: The affine transforms scale, rotate and shear are actually linear transforms and can be represented by a matrix multiplication of a point represented as a vector, ” x0 y0 # = ” ax+ by dx+ ey # = ” a b d e #” x y # ; orx0= Mx, where M is the matrix.
Q: Is it possible to represent all the affine transforms by matrices?
A: Since the matrix form is so handy for building up complex transforms from simpler ones, it would be very useful to be able to represent all of the affine transforms by matrices. The problem is that translation is not a linear transform.
Q: Which transformation is represented by a matrix?
A: C.3 MATRIX REPRESENTATION OF THE LINEAR TRANS- FORMATIONS The affine transforms scale, rotate and shear are actually linear transforms and can be represented by a matrix multiplication of a point represented as a vector, ” x0 y0
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