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2D Discrete Transformation Forward transform: W-1N- T(4,)=∑∑fx,y)g(x,y,4,) x=0y=0 where g(xy,u,v)=forward transformation kernel or basis function T(u,v)is called the transform coefficient image. Inverse transform: N-1N-1 f(x,y)=∑∑T(u,)h(x,y,4,) 2u=0v=0 where h(x,y,u,v)=inverse transformation kernel or inverse basis function2D Discrete Transformation       1 0 1 0 ( , ) ( , ) ( , , , ) N x N y T u v f x y g x y u v Forward transform:       1 0 1 0 ( , ) ( , ) ( , , , ) N u N v f x y T u v h x y u v Inverse transform: where g(x,y,u,v) = forward transformation kernel or basis function where h(x,y,u,v) = inverse transformation kernel or inverse basis function T(u,v) is called the transform coefficient image
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