L1 ⚛ L1-134 ⊙ Testnet

XRF Tomography — X-ray Fluorescence CT

Scientific Instrumentation · Elemental 3D tomography via fluorescence detection

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⬇ L1-134.md

# ⚛ L1 Principle — XRF Tomography — X-ray Fluorescence CT **ID:** `L1-134` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Scientific Instrumentation — *Elemental 3D tomography via fluorescence detection* > **🎯 Problem class:** linear tomographic inverse · **🧮 Solution space:** 3d elemental concentration > **📡 Carrier:** photon · **🌫 Noise:** shot poisson > **⚖ Difficulty (δ):** 3 · **⛓ Block:** 41554214 --- ## 🧠 1. Introduction **XRF Tomography — X-ray Fluorescence CT** is a **linear tomographic reconstruction** whose unknown lives in **3d elemental concentration** space, within the **Elemental 3D tomography via fluorescence detection** sub-domain of **Scientific Instrumentation**. Measurements consist of photons collected by an optical detector via a **xray fluorescence yield** sensing mechanism. The forward operator applies, in order: L · absorb · innerShell operator; S · emit · fluor operator; L · project · pencilbeam operator; pixel-level spatial averaging on the detector. Observations are corrupted by Poisson shot noise from quantum-limited detection. Linear at low concentration; self-absorption breaks linearity (must be corrected iteratively). Limited-angle geometry adds ill-posedness. ## ⚙ 2. Forward Model Physical chain: **x** → L · absorb · innerShell → S · emit · fluor → L · project · pencilbeam → Spatial integration → **y** (detector). ``` y = ∫_A dA `L.project.pencilbeam` `S.emit.fluor` `L.absorb.innerShell` x, measurements ~ Poisson(αy) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.absorb.innerShell` | L · absorb · innershell operator | | `S.emit.fluor` | S · emit · fluor operator | | `L.project.pencilbeam` | L · project · pencilbeam operator | | `int.spatial` | Pixel-level spatial averaging on the detector | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Scientific Instrumentation | | Sub domain | Elemental 3D tomography via fluorescence detection | | Carrier | photon | | Problem class | linear_tomographic_inverse | | Solution space | 3d_elemental_concentration | | Noise model | shot_poisson | | Integration axis | projection | | Difficulty delta | 3 | | L dag | 3 | ## 📡 4. Measurement Model Linear at low concentration; self-absorption breaks linearity (must be corrected iteratively). Limited-angle geometry adds ill-posedness. | Metric | Value | |---|---| | Metric | concentration_NMSE | | Secondary | spatial_resolution_um | ## 📏 5. Operating Range (Ω) **Center problem class:** `xrf_tomography` · **Forward operator:** `xrf_ct_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | H | px | 500 | | K | — | 10 | | W | px | 500 | | N view | — | 360 | | Pixel um | µm | 1 | | E exc kev | — | 20 | | Self absorption | — | 0.1 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | H | px | 64 – 2048 | | K | — | 1 – 30 | | W | px | 64 – 2048 | | N view | — | 10 – 1000 | | Pixel um | µm | 0.1 – 100 | | E exc kev | — | 5 – 50 | | Self absorption | — | 0.0 – 0.8 | | Pileup correction | — | 0.0 – 0.2 | | Detector live time | — | 0.1 – 1.0 | | Scatter background | — | 0.0 – 0.3 | | Beam position jitter | — | 0.0 – 2 | ## 🎯 6. Tolerance (ε) **Center tolerance:** NMSE 0.02 | Metric | Range | |---|---| | Nmse | 0.001 – 0.5 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **concentration_NMSE**, with κ = `500` and δ = `3`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0x36c1be9356697935b503381c1fdbe41727da9974932e724504afc3a9507a8e22` - **Chain tx hash:** `0x320e79fa04307dea821f7da23ff521db7302e8a4375bb608ad14cd0b8d38552e` - **Chain block:** `41554214` --- ## File Mapping This bundle consists of: `L1-134.md`, `L1-134.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-134.md` | Source of truth — edit this | Human or LLM | | `L1-134.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 `L1-134`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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Read the attached Markdown (L1-134.md).
Regenerate L1-134.json so every field matches the Markdown.
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📋 JSON metadata

{
  "artifact_id": "L1-134",
  "chain_block": 41554214,
  "chain_hash": "0x36c1be9356697935b503381c1fdbe41727da9974932e724504afc3a9507a8e22",
  "chain_tx_hash": "0x320e79fa04307dea821f7da23ff521db7302e8a4375bb608ad14cd0b8d38552e",
  "domain": "Scientific Instrumentation",
  "hardness_fn": {
    "delta": 3,
    "kappa": 500,
    "metric": "concentration_NMSE",
    "type": "epsilon_fn"
  },
  "initiator_dataset": [
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      "license_hash": null,
      "name": "primary",
      "weight": 1.0
    }
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  "layer": "L1",
  "observable_profile": {
    "metric": "concentration_NMSE",
    "regime": "Linear at low concentration; self-absorption breaks linearity (must be corrected iteratively). Limited-angle geometry adds ill-posedness.",
    "secondary": "spatial_resolution_um"
  },
  "physics_fingerprint": {
    "L_DAG": 3.0,
    "carrier": "photon",
    "difficulty_delta": 3,
    "domain": "Scientific Instrumentation",
    "integration_axis": "projection",
    "noise_model": "shot_poisson",
    "primitives": [
      "L.absorb.innerShell",
      "S.emit.fluor",
      "L.project.pencilbeam",
      "int.spatial"
    ],
    "problem_class": "linear_tomographic_inverse",
    "sensing_mechanism": "xray_fluorescence_yield",
    "solution_space": "3d_elemental_concentration",
    "sub_domain": "Elemental 3D tomography via fluorescence detection",
    "title": "XRF Tomography \u2014 X-ray Fluorescence CT"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "xrf_ct_forward",
      "conxrf_tomo"
    ],
    "allowed_omega_dimensions": [
      "H",
      "W",
      "N_view",
      "pixel_um",
      "E_exc_keV",
      "K",
      "self_absorption",
      "scatter_background",
      "pileup_correction",
      "beam_position_jitter",
      "detector_live_time"
    ],
    "allowed_problem_classes": [
      "xrf_tomography",
      "xrf_2d_mapping",
      "confocal_xrf"
    ],
    "center_spec": {
      "epsilon_fn_center": "NMSE 0.02",
      "forward_operator": "xrf_ct_forward",
      "input_format": "projection_sinogram",
      "omega": {
        "E_exc_keV": 20,
        "H": 500,
        "K": 10,
        "N_view": 360,
        "W": 500,
        "pixel_um": 1,
        "self_absorption": 0.1
      },
      "problem_class": "xrf_tomography"
    },
    "epsilon_bounds": {
      "nmse": [
        0.001,
        0.5
      ]
    },
    "omega_bounds": {
      "E_exc_keV": [
        5,
        50
      ],
      "H": [
        64,
        2048
      ],
      "K": [
        1,
        30
      ],
      "N_view": [
        10,
        1000
      ],
      "W": [
        64,
        2048
      ],
      "beam_position_jitter": [
        0.0,
        2
      ],
      "detector_live_time": [
        0.1,
        1.0
      ],
      "pileup_correction": [
        0.0,
        0.2
      ],
      "pixel_um": [
        0.1,
        100
      ],
      "scatter_background": [
        0.0,
        0.3
      ],
      "self_absorption": [
        0.0,
        0.8
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Elemental 3D tomography via fluorescence detection",
  "title": "XRF Tomography \u2014 X-ray Fluorescence CT"
}

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