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genpark-discrete-cosine-transform-dct2-jpeg-skill

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SUMMARY

Type-II Discrete Cosine Transform (DCT-II) and orthonormal Inverse DCT with block-based energy compaction

README.md

Discrete Cosine Transform (DCT-II) Skill

Orthonormal Type-II Discrete Cosine Transform engine providing exceptional spectral energy compaction for JPEG image compression and audio codecs.

flowchart LR
    Spatial["Spatial Domain Block / Sample Vector"] --> DCT["Type-II Cosine Kernel Modulation"]
    DCT --> Energy["Compacted Frequency Coefficients (Dominant DC + AC)"]
    Energy --> IDCT["Orthonormal Type-III Reconstruction"]
    IDCT --> Spatial

Features

  • 100% Python Standard Library: Pure standard trigonometric formulation.
  • Orthonormal Normalization: Preserves total signal energy (Parseval identity).

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