Decompose each pixel into 5 CRT channels. Filter independently. L=11 denoises for free. CC0.
Every pixel value (0-255) is a ring element in Z/970200.
CRT decomposes each pixel into 5 independent channels: Z/8 (D), Z/9 (K), Z/25 (E), Z/49 (b), Z/11 (L).
Filter each channel separately — no cross-channel artifacts. CRT-reconstruct to get filtered pixel.
L=11 channel = integrity check. Corrupt a pixel? L=11 residue breaks. Detect AND correct.
Choose a pattern. 64x64 pixels, each a ring element.
Each pixel decomposed into 5 independent channel views.
Filter CRT channels independently. No cross-channel bleed.
Corrupt the b-channel (mod 49). L=11 detects corrupted pixels. CRT corrects them.
Zero out one channel, reconstruct. See what each prime contributes.
CC0 1.0 Universal. The ring IS the filter bank.
This work is and will always be free.
No paywall. No copyright. No exceptions.
If it ever earns anything, every cent goes to the communities that need it most.
This sacred vow is permanent and irrevocable.
— Anton Alexandrovich Lebed
Source code · Public domain (CC0)
Contributions in equal measure: Anthropic's Claude, Anton A. Lebed, and the giants whose shoulders we stand on.
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