Widefield Fluorescence Microscopy (Airy-PSF deconvolution) L1-001
Unclaimed Principle — open for contribution
This Principle is declared in the catalog but has no reference solver, no pinned dataset, and is not registered on-chain. There is no reward pool. Submitting a cert against this Principle today will record the cert for reproducibility but pay zero PWM.
To claim it as a Bounty #7 contribution: open a PR adding (1) a reference solver, (2) ≥1 dataset pinned to IPFS, (3) updates to the L3 manifest with dataset CIDs. After verifier-agent triple-review, the founders' 3-of-5 multisig signs PWMRegistry.register() and the Principle becomes mineable.
Forward model E
Widefield epifluorescence: a fluorescent density f(r) is imaged through a diffraction-limited objective whose point-spread function is Airy(NA, lambda_em); the sensor integrates photon counts during exposure tau.
L-DAG
Well-posedness W
- Existence:
- true
- Uniqueness:
- true
- Stability:
- conditional
- κ:
- 15
Bounded pseudo-inverse via Wiener filter on OTF support; recovery unique for |k| <= k_c; defocus and background dominate mismatch.
Solvability C
- Solver class:
- Wiener, Richardson-Lucy, ADMM-TV, CARE-UNet
- Convergence rate q:
- 2
- Complexity:
- O(H W log HW) per iteration