Assignment: Equal Interval$-$Based Quantization and Lookup Tables $($LUT$)$

Problem $2$: Equal Interval$-$Based Quantization and Lookup Tables $($LUT$)$

Task:

Histogram Construction:

Construct a $3$D histogram for a $24-$bit image with dimensions $256$x$256$ pixels. Assume the RGB values are evenly distributed.

Color Quantization:

Divide the RGB color space into equal intervals to reduce from $24$ bits to $8$ bits:

Red: $3$ bits $(8$ intervals$).$

Green: $3$ bits $(8$ intervals$).$

Blue: $2$ bits $(4$ intervals$).$

Use representative values $($midpoints of the intervals$)$ for quantization.

Lookup Table Implementation:

Describe how a color lookup table $($LUT$)$ maps $8-$bit indices to $24-$bit RGB values.

Write a pseudo$-$code algorithm to apply the LUT for reconstructing the image.