L1 ⚛ L1-053 ⊙ Testnet

Electronic Portal Imaging (EPID)

Medical Imaging · MV X-ray treatment-verification imaging

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⬇ L1-053.md

# ⚛ L1 Principle — Electronic Portal Imaging (EPID) **ID:** `L1-053` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Medical Imaging — *MV X-ray treatment-verification imaging* > **🎯 Problem class:** linear inverse · **🧮 Solution space:** 2D attenuation projection > **📡 Carrier:** x_ray · **🌫 Noise:** shot poisson > **⚖ Difficulty (δ):** 3 · **⛓ Block:** 41552302 --- ## 🧠 1. Introduction **Electronic Portal Imaging (EPID)** is a **linear inverse problem** whose unknown lives in **2D attenuation projection** space, within the **MV X-ray treatment-verification imaging** sub-domain of **Medical Imaging**. Measurements consist of X-ray photons transmitted through (or scattered by) the sample via a **portal imaging mv** sensing mechanism. The forward operator applies, in order: L · mv xray source operator; L · patient attenuation operator; D · amorphous silicon panel operator; pixel-level spatial averaging on the detector. Observations are corrupted by Poisson shot noise from quantum-limited detection. Existence of the recovered 2D attenuation projection is guaranteed within the declared Omega bounds. Uniqueness holds on the measurement-supported subspace; out-of-support modes are controlled by the declared priors. Stability is well-conditioned (kappa_eff ~= 9); scatter dominates the stability cliff; optical_glare and the remaining mismatch parameters contribute higher-order bias terms. Photon-shot-noise-limited (poisson counting) sets the irreducible data-fidelity floor, while mild Tikhonov or analytic inversion is sufficient at the nominal Omega point. ## ⚙ 2. Forward Model Physical chain: **x** → L · mv xray source → L · patient attenuation → D · amorphous silicon panel → Spatial integration → **y** (detector). ``` y = ∫_A dA `D.amorphous_silicon_panel` `L.patient_attenuation` `L.mv_xray_source` x, measurements ~ Poisson(αy) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.mv_xray_source` | L · mv xray source operator | | `L.patient_attenuation` | L · patient attenuation operator | | `D.amorphous_silicon_panel` | D · amorphous silicon panel operator | | `int.spatial` | Pixel-level spatial averaging on the detector | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Medical Imaging | | Sub domain | MV X-ray treatment-verification imaging | | Carrier | x_ray | | Problem class | linear_inverse | | Solution space | 2D_attenuation_projection | | Noise model | shot_poisson | | Integration axis | spatial | | Difficulty delta | 3 | | L dag | 2.8 | ## 📡 4. Measurement Model Existence of the recovered 2D attenuation projection is guaranteed within the declared Omega bounds. Uniqueness holds on the measurement-supported subspace; out-of-support modes are controlled by the declared priors. Stability is well-conditioned (kappa_eff ~= 9); scatter dominates the stability cliff; optical_glare and the remaining mismatch parameters contribute higher-order bias terms. Photon-shot-noise-limited (poisson counting) sets the irreducible data-fidelity floor, while mild Tikhonov or analytic inversion is sufficient at the nominal Omega point. | Metric | Value | |---|---| | Metric | PSNR_dB | | Secondary | SSIM | ## 📏 5. Operating Range (Ω) **Center problem class:** `portal_imaging` · **Forward operator:** `portal_imaging_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | H | px | 1024 | | W | px | 1024 | | Mu | — | 5 | | Scatter | — | 0.2 | | Pixel mm | mm | 0.4 | | Mv energy | — | 6 | | Optical glare | — | 0 | | Panel saturation | — | 0 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | H | px | 512 | | W | px | 512 | | Mu | — | 0.1 – 200 | | Scatter | — | 0.0 – 0.5 | | Pixel mm | mm | 0.1 – 2.0 | | Mv energy | — | 4 – 18 | | Optical glare | — | 0.0 – 0.3 | | Panel saturation | — | 0.0 – 0.3 | | Beam energy drift | — | 0.0 – 0.05 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 25.0 | Metric | Range | |---|---| | Psnr db | 5.0 – 45.0 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **PSNR_dB**, with κ = `180` and δ = `3`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0x676d810a8ca49f3336d11f5cfa073fd2f42f6924056eb2ec95986082c396455d` - **Chain tx hash:** `0x9e7fd79dbfb70f9a70cfaa77bc34413b1cd089fcb53a01f687ad94ea4ff1ae0f` - **Chain block:** `41552302` --- ## File Mapping This bundle consists of: `L1-053.md`, `L1-053.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-053.md` | Source of truth — edit this | Human or LLM | | `L1-053.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 `L1-053`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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Read the attached Markdown (L1-053.md).
Regenerate L1-053.json so every field matches the Markdown.
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L2-053-001 Electronic Portal Imaging (EPID) Mismatch-Only Spec

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📋 JSON metadata

{
  "artifact_id": "L1-053",
  "chain_block": 41552302,
  "chain_hash": "0x676d810a8ca49f3336d11f5cfa073fd2f42f6924056eb2ec95986082c396455d",
  "chain_tx_hash": "0x9e7fd79dbfb70f9a70cfaa77bc34413b1cd089fcb53a01f687ad94ea4ff1ae0f",
  "domain": "Medical Imaging",
  "hardness_fn": {
    "delta": 3,
    "kappa": 180,
    "metric": "PSNR_dB",
    "type": "epsilon_fn"
  },
  "initiator_dataset": [
    {
      "ipfs_cid": null,
      "license_hash": null,
      "name": "primary",
      "weight": 1.0
    }
  ],
  "layer": "L1",
  "observable_profile": {
    "metric": "PSNR_dB",
    "regime": "Existence of the recovered 2D attenuation projection is guaranteed within the declared Omega bounds. Uniqueness holds on the measurement-supported subspace; out-of-support modes are controlled by the declared priors. Stability is well-conditioned (kappa_eff ~= 9); scatter dominates the stability cliff; optical_glare and the remaining mismatch parameters contribute higher-order bias terms. Photon-shot-noise-limited (poisson counting) sets the irreducible data-fidelity floor, while mild Tikhonov or analytic inversion is sufficient at the nominal Omega point.",
    "secondary": "SSIM"
  },
  "physics_fingerprint": {
    "L_DAG": 2.8,
    "carrier": "x_ray",
    "difficulty_delta": 3,
    "domain": "Medical Imaging",
    "integration_axis": "spatial",
    "noise_model": "shot_poisson",
    "primitives": [
      "L.mv_xray_source",
      "L.patient_attenuation",
      "D.amorphous_silicon_panel",
      "int.spatial"
    ],
    "problem_class": "linear_inverse",
    "sensing_mechanism": "portal_imaging_mv",
    "solution_space": "2D_attenuation_projection",
    "sub_domain": "MV X-ray treatment-verification imaging",
    "title": "Electronic Portal Imaging (EPID)"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "portal_imaging_forward"
    ],
    "allowed_omega_dimensions": [
      "H",
      "W",
      "MV_energy",
      "MU",
      "pixel_mm",
      "scatter",
      "optical_glare",
      "panel_saturation",
      "scatter",
      "optical_glare",
      "panel_saturation",
      "beam_energy_drift"
    ],
    "allowed_problem_classes": [
      "portal_imaging"
    ],
    "center_spec": {
      "epsilon_fn_center": "25.0",
      "forward_operator": "portal_imaging_forward",
      "input_format": "measurement_only",
      "omega": {
        "H": 1024,
        "MU": 5,
        "MV_energy": 6,
        "W": 1024,
        "optical_glare": 0.0,
        "panel_saturation": 0.0,
        "pixel_mm": 0.4,
        "scatter": 0.2
      },
      "problem_class": "portal_imaging"
    },
    "epsilon_bounds": {
      "psnr_db": [
        5.0,
        45.0
      ]
    },
    "omega_bounds": {
      "H": 512,
      "MU": [
        0.1,
        200
      ],
      "MV_energy": [
        4,
        18
      ],
      "W": 512,
      "beam_energy_drift": [
        0.0,
        0.05
      ],
      "optical_glare": [
        0.0,
        0.3
      ],
      "panel_saturation": [
        0.0,
        0.3
      ],
      "pixel_mm": [
        0.1,
        2.0
      ],
      "scatter": [
        0.0,
        0.5
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "MV X-ray treatment-verification imaging",
  "title": "Electronic Portal Imaging (EPID)"
}

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