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Mathematically defining the DCT
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Classroom Contents
The Unreasonable Effectiveness of JPEG: A Signal Processing Approach
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- 1 Introducing JPEG and RGB Representation
- 2 Lossy Compression
- 3 What information can we get rid of?
- 4 Introducing YCbCr
- 5 Chroma subsampling/downsampling
- 6 Images represented as signals
- 7 Introducing the Discrete Cosine Transform DCT
- 8 Sampling cosine waves
- 9 Playing around with the DCT
- 10 Mathematically defining the DCT
- 11 The Inverse DCT
- 12 The 2D DCT
- 13 Visualizing the 2D DCT
- 14 Introducing Energy Compaction
- 15 Brilliant Sponsorship
- 16 Building an image from the 2D DCT
- 17 Quantization
- 18 Run-length/Huffman Encoding within JPEG
- 19 How JPEG fits into the big picture of data compression
