In JPEG, the Discrete Cosine Transform is applied to 8x8 blocks in an image. For now, let's call it DCT-8. Generally, we can define a DCT-N to be applied to N xN blocks in an image. DCT-N is defined as: ?? Nj) cos COS 2N i-0 j-0 for ? 0 1otherwise Given fi) as below, show your work for deriving all pixel values of F2(u,v). (Show the result of applying DCT-2 to the image below.) 100-100 100-100 100-100 100 -100 100-100 100-100 100-100 100 -100 100-100 100-100 100-100 100 -100 100-100 100-100 100 -100 100-100 100-100 100 -100 100-100 100 -100 100-100 100-100 100-100 100-100 100-100 100 -100 100-100 100-100 100-100 100-100 100-100 100 -100 In JPEG, the Discrete Cosine Transform is applied to 8x8 blocks in an image. For now, let's call it DCT-8. Generally, we can define a DCT-N to be applied to N xN blocks in an image. DCT-N is defined as: ?? Nj) cos COS 2N i-0 j-0 for ? 0 1otherwise Given fi) as below, show your work for deriving all pixel values of F2(u,v). (Show the result of applying DCT-2 to the image below.) 100-100 100-100 100-100 100 -100 100-100 100-100 100-100 100 -100 100-100 100-100 100-100 100 -100 100-100 100-100 100 -100 100-100 100-100 100 -100 100-100 100 -100 100-100 100-100 100-100 100-100 100-100 100 -100 100-100 100-100 100-100 100-100 100-100 100 -100