L1 ⚛ L1-103 ⊙ Testnet

Multispectral Imaging (Landsat/Sentinel-2)

Remote Sensing · Broad-band satellite multispectral

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⬇ L1-103.md

# ⚛ L1 Principle — Multispectral Imaging (Landsat/Sentinel-2) **ID:** `L1-103` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Remote Sensing — *Broad-band satellite multispectral* > **🎯 Problem class:** linear inverse · **🧮 Solution space:** 3D spectral image > **📡 Carrier:** photon · **🌫 Noise:** gaussian > **⚖ Difficulty (δ):** 1 · **⛓ Block:** 41554197 --- ## 🧠 1. Introduction **Multispectral Imaging (Landsat/Sentinel-2)** is a **linear inverse problem** whose unknown lives in **3D spectral image** space, within the **Broad-band satellite multispectral** sub-domain of **Remote Sensing**. Measurements consist of photons collected by an optical detector via a **multispectral filter** sensing mechanism. The forward operator applies, in order: L · band filter operator; S · scan · pushbroom operator; pixel-level spatial averaging on the detector. Observations are corrupted by additive Gaussian noise. Existence of the recovered 3D spectral image 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 ~= 5); atmospheric_correction_error dominates the stability cliff; bidirectional_reflectance and the remaining mismatch parameters contribute higher-order bias terms. Additive gaussian thermal/electronic noise 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 · band filter → S · scan · pushbroom → Spatial integration → **y** (detector). ``` y = ∫_A dA `S.scan.pushbroom` `L.band_filter` x + n, n ~ 𝒩(0, σ²) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.band_filter` | L · band filter operator | | `S.scan.pushbroom` | S · scan · pushbroom operator | | `int.spatial` | Pixel-level spatial averaging on the detector | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Remote Sensing | | Sub domain | Broad-band satellite multispectral | | Carrier | photon | | Problem class | linear_inverse | | Solution space | 3D_spectral_image | | Noise model | gaussian | | Integration axis | spatial | | Difficulty delta | 1 | | L dag | 2.5 | ## 📡 4. Measurement Model Existence of the recovered 3D spectral image 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 ~= 5); atmospheric_correction_error dominates the stability cliff; bidirectional_reflectance and the remaining mismatch parameters contribute higher-order bias terms. Additive gaussian thermal/electronic noise 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:** `multispectral` · **Forward operator:** `multispectral_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | H | px | 1024 | | W | px | 1024 | | Gsd m | m | 10 | | Snr db | dB | 40 | | N bands | bands | 13 | | Cloud contamination | — | 0 | | Atmospheric correction error | — | 0 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | H | px | 256 – 16384 | | W | px | 256 – 16384 | | Gsd m | m | 0.3 – 1000 | | Snr db | dB | 15.0 – 45.0 | | N bands | bands | 3 – 20 | | Cloud contamination | — | 0.0 – 0.5 | | Bidirectional reflectance | — | 0.0 – 0.2 | | Atmospheric correction error | — | 0.0 – 0.2 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 33.0 | Metric | Range | |---|---| | Psnr db | 5.0 – 40.0 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **PSNR_dB**, with κ = `100` and δ = `1`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0x38ac8ba6ad8e2210be640789f2161540b31e1a4179138004b3a2d6e8bc421fd7` - **Chain tx hash:** `0xfdf71d4eeedaff75e6d0b568b9bab9f08789b536a40a95c39d9eb1ed7608d68e` - **Chain block:** `41554197` --- ## File Mapping This bundle consists of: `L1-103.md`, `L1-103.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-103.md` | Source of truth — edit this | Human or LLM | | `L1-103.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 `L1-103`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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L2-103-001 Multispectral Imaging (Landsat/Sentinel-2) Mismatch-Only Spec

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📋 JSON metadata

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  "domain": "Remote Sensing",
  "hardness_fn": {
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    "kappa": 100,
    "metric": "PSNR_dB",
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    "secondary": "SSIM"
  },
  "physics_fingerprint": {
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    "carrier": "photon",
    "difficulty_delta": 1,
    "domain": "Remote Sensing",
    "integration_axis": "spatial",
    "noise_model": "gaussian",
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      "S.scan.pushbroom",
      "int.spatial"
    ],
    "problem_class": "linear_inverse",
    "sensing_mechanism": "multispectral_filter",
    "solution_space": "3D_spectral_image",
    "sub_domain": "Broad-band satellite multispectral",
    "title": "Multispectral Imaging (Landsat/Sentinel-2)"
  },
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      "cloud_contamination",
      "atmospheric_correction_error",
      "bidirectional_reflectance",
      "cloud_contamination"
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    "allowed_problem_classes": [
      "multispectral"
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    "center_spec": {
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      "input_format": "measurement_only",
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        20
      ],
      "SNR_dB": [
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        45.0
      ],
      "W": [
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      ],
      "atmospheric_correction_error": [
        0.0,
        0.2
      ],
      "bidirectional_reflectance": [
        0.0,
        0.2
      ],
      "cloud_contamination": [
        0.0,
        0.5
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Broad-band satellite multispectral",
  "title": "Multispectral Imaging (Landsat/Sentinel-2)"
}

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