L1 ⚛ L1-001 ⊙ Testnet

Widefield Fluorescence Microscopy (Airy-PSF deconvolution)

Microscopy · Epifluorescence widefield

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⬇ L1-001.md

# ⚛ L1 Principle — Widefield Fluorescence Microscopy (Airy-PSF deconvolution) **ID:** `L1-001` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Microscopy — *Epifluorescence widefield* > **🎯 Problem class:** linear inverse · **🧮 Solution space:** 2D intensity > **📡 Carrier:** photon · **🌫 Noise:** poisson gaussian > **⚖ Difficulty (δ):** 1 · **⛓ Block:** 41554153 --- ## 🧠 1. Introduction **Widefield Fluorescence Microscopy (Airy-PSF deconvolution)** is a **linear inverse problem** whose unknown lives in **2D intensity** space, within the **Epifluorescence widefield** sub-domain of **Microscopy**. Measurements consist of photons collected by an optical detector via a **fluorescence widefield** sensing mechanism. The forward operator applies, in order: convolution with the Airy disk of a circular aperture; detector accumulates flux over the exposure window. Observations are corrupted by Poisson shot noise plus Gaussian read-out noise. Bounded pseudo-inverse via Wiener filter on OTF support; recovery unique for |k| <= k_c; defocus and background dominate mismatch. ## ⚙ 2. Forward Model Physical chain: **x** → Airy PSF convolution → Temporal integration → **y** (detector). ``` y = ∫_t dt K_Airy * x + n, Poisson + 𝒩(0, σ²) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `K.psf.airy` | Convolution with the airy disk of a circular aperture | | `int.temporal` | Detector accumulates flux over the exposure window | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Microscopy | | Sub domain | Epifluorescence widefield | | Carrier | photon | | Problem class | linear_inverse | | Solution space | 2D_intensity | | Noise model | poisson_gaussian | | Integration axis | temporal | | Difficulty delta | 1 | | L dag | 1 | ## 📡 4. Measurement Model Bounded pseudo-inverse via Wiener filter on OTF support; recovery unique for |k| <= k_c; defocus and background dominate mismatch. | Metric | Value | |---|---| | Metric | PSNR_dB | | Secondary | SSIM | ## 📏 5. Operating Range (Ω) **Center problem class:** `fluorescence_deconvolution` · **Forward operator:** `airy_psf_convolution` **Center point:** | Parameter | Unit | Value | |---|---|---| | H | px | 512 | | W | px | 512 | | Na | — | 1.4 | | Dz nm | nm | 0 | | Pixel nm | nm | 65 | | Sigma bg | — | 0 | | Emission nm | nm | 525 | | Peak photons | photons | 1000 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | H | px | 128 – 4096 | | W | px | 128 – 4096 | | Na | — | 0.4 – 1.49 | | Dz nm | nm | 0.0 – 1500.0 | | Pixel nm | nm | 30 – 200 | | Sigma bg | — | 0.0 – 0.1 | | Emission nm | nm | 400 – 800 | | Peak photons | photons | 50 – 10000 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 30.0 dB PSNR | Metric | Range | |---|---| | Psnr db | 20.0 – 45.0 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **PSNR_dB**, with κ = `15` and δ = `1`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0xc33cdf5bdd5ac8ef7e0ce951205f883db8587dbd05fdc9c87476735da65a0b57` - **Chain tx hash:** `0xd142f9e33fb57707ba345ac6b943ec35ed926e7c931f9d79a2f7e84552120598` - **Chain block:** `41554153` --- ## File Mapping This bundle consists of: `L1-001.md`, `L1-001.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-001.md` | Source of truth — edit this | Human or LLM | | `L1-001.json` | Structured metadata for the registry | LLM regenerates from the sections above | **Prompt for your LLM after editing this Markdown:** > Read the attached Markdown. Regenerate the sibling `.json` so every field matches. > Preserve the schema documented in the rows above. > Output each file in its own fenced code block tagged with the filename. > Output only the JSON object. _This Markdown was auto-synthesized from the catalog row for `L1-001`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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L2-001-001 Widefield Fluorescence Mismatch-Only Spec

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📋 JSON metadata

{
  "artifact_id": "L1-001",
  "chain_block": 41554153,
  "chain_hash": "0xc33cdf5bdd5ac8ef7e0ce951205f883db8587dbd05fdc9c87476735da65a0b57",
  "chain_tx_hash": "0xd142f9e33fb57707ba345ac6b943ec35ed926e7c931f9d79a2f7e84552120598",
  "domain": "Microscopy",
  "hardness_fn": {
    "delta": 1,
    "kappa": 15,
    "metric": "PSNR_dB",
    "type": "epsilon_fn"
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      "license_hash": null,
      "name": "primary",
      "weight": 1.0
    }
  ],
  "layer": "L1",
  "observable_profile": {
    "metric": "PSNR_dB",
    "regime": "Bounded pseudo-inverse via Wiener filter on OTF support; recovery unique for |k| \u003c= k_c; defocus and background dominate mismatch.",
    "secondary": "SSIM"
  },
  "physics_fingerprint": {
    "L_DAG": 1.0,
    "carrier": "photon",
    "difficulty_delta": 1,
    "domain": "Microscopy",
    "integration_axis": "temporal",
    "noise_model": "poisson_gaussian",
    "primitives": [
      "K.psf.airy",
      "int.temporal"
    ],
    "problem_class": "linear_inverse",
    "sensing_mechanism": "fluorescence_widefield",
    "solution_space": "2D_intensity",
    "sub_domain": "Epifluorescence widefield",
    "title": "Widefield Fluorescence Microscopy (Airy-PSF deconvolution)"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "airy_psf_convolution",
      "gaussian_psf_approx"
    ],
    "allowed_omega_dimensions": [
      "H",
      "W",
      "pixel_nm",
      "emission_nm",
      "NA",
      "peak_photons",
      "dz_nm",
      "sigma_bg"
    ],
    "allowed_problem_classes": [
      "fluorescence_deconvolution",
      "blind_deconvolution",
      "background_estimation"
    ],
    "center_spec": {
      "epsilon_fn_center": "30.0 dB PSNR",
      "forward_operator": "airy_psf_convolution",
      "input_format": "measurement_only",
      "omega": {
        "H": 512,
        "NA": 1.4,
        "W": 512,
        "dz_nm": 0.0,
        "emission_nm": 525,
        "peak_photons": 1000,
        "pixel_nm": 65,
        "sigma_bg": 0.0
      },
      "problem_class": "fluorescence_deconvolution"
    },
    "epsilon_bounds": {
      "psnr_db": [
        20.0,
        45.0
      ]
    },
    "omega_bounds": {
      "H": [
        128,
        4096
      ],
      "NA": [
        0.4,
        1.49
      ],
      "W": [
        128,
        4096
      ],
      "dz_nm": [
        0.0,
        1500.0
      ],
      "emission_nm": [
        400,
        800
      ],
      "peak_photons": [
        50,
        10000
      ],
      "pixel_nm": [
        30,
        200
      ],
      "sigma_bg": [
        0.0,
        0.1
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Epifluorescence widefield",
  "title": "Widefield Fluorescence Microscopy (Airy-PSF deconvolution)"
}

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