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rgb2yuv: RGB to Broadcast Color Space Conversion

Mathematical Structure of Video Color Separation​

RGB to YUV conversion separates luminance information from chrominance data, optimizing video signal transmission and storage. The transformation computes perceived brightness independently from color content.

The mathematical transformation: YUV=MRGB→YUV⋅RGB\text{YUV} = M_{\text{RGB}\rightarrow\text{YUV}} \cdot \text{RGB}

Where Y represents luminance (brightness), U encodes blue-yellow color difference, and V encodes red-cyan color difference.

Luminance Calculation Properties​

The Y component computes perceptually weighted brightness using coefficients derived from human visual sensitivity. Green contributes most heavily to perceived brightness, followed by red, then blue.

Mathematical characteristics:

  • Luminance weighting: Green channel receives highest coefficient due to eye sensitivity
  • Chrominance encoding: U and V represent color deviations from grayscale
  • Bandwidth optimization: Chrominance components can be subsampled without perceptual loss
ライブエディター
const fragment = () => {
      const rgbColor = vec3(uv.x, uv.y, 0.6)
      const yuvColor = rgb2yuv(rgbColor)
      return vec4(yuvColor.add(0.5), 1)
}