Discrete Cosine Transform (DCT) DCT transforms an 8×8 block of pixel values into frequency components to compress spatial information. It helps separate image content into parts of differing importance (low vs high frequency). Key Properties: Energy Compaction: Low-frequency values retain most visual content. De-correlation: Converts spatial redundancy into independent values. Separable: Can be computed as two 1D DCTs – first rows, then columns. Example: Fig. (a) : Original 8×8 Block (partial) Fig. (b) : After DCT (rounded) 0,0) = DC coefficient → avg brightness Other = AC coefficients → image details Most values near bottom-right ≈ 0 → negligible → compressible [52, 55, 61, 66, 70, 61, 64, 73], [63, 59, 55, 90, 109, 85, 69, 72], ... fig. (a) [665, -21, -19, 9, 17, -9, -3, 1], [-57, -40, -15, 17, 11, 7, -2, 0], ... fig. (b)