L1 ⚛ L1-080 ⊙ Testnet

Light-Field (Plenoptic) Imaging

Computational Optics · 4D plenoptic sampling

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⬇ L1-080.md

# ⚛ L1 Principle — Light-Field (Plenoptic) Imaging **ID:** `L1-080` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Computational Optics — *4D plenoptic sampling* > **🎯 Problem class:** linear inverse · **🧮 Solution space:** 4D light field > **📡 Carrier:** photon · **🌫 Noise:** gaussian > **⚖ Difficulty (δ):** 3 · **⛓ Block:** 41554182 --- ## 🧠 1. Introduction **Light-Field (Plenoptic) Imaging** is a **linear inverse problem** whose unknown lives in **4D light field** space, within the **4D plenoptic sampling** sub-domain of **Computational Optics**. Measurements consist of photons collected by an optical detector via a **plenoptic sampling** sensing mechanism. The forward operator applies, in order: L · project · pupil operator; rotates source / detector to acquire different projections; F · shear operator; integration over the solid angle of incidence/emission. Observations are corrupted by additive Gaussian noise. Well-posed when MLA is calibrated and scene lies within depth-of-field cone of each sub-aperture. Degrades at occlusion boundaries, specular highlights, and beyond the angular-resolution disparity limit; MLA misregistration couples spatial and angular dimensions. ## ⚙ 2. Forward Model Physical chain: **x** → L · project · pupil → Angular scan → F · shear → Angular integration → **y** (detector). ``` y = ∫dΩ `F.shear` R(θ) `L.project.pupil` x + n, n ~ 𝒩(0, σ²) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.project.pupil` | L · project · pupil operator | | `S.scan.angular` | Rotates source / detector to acquire different projections | | `F.shear` | F · shear operator | | `int.angular` | Integration over the solid angle of incidence/emission | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Computational Optics | | Sub domain | 4D plenoptic sampling | | Carrier | photon | | Problem class | linear_inverse | | Solution space | 4D_light_field | | Noise model | gaussian | | Integration axis | angular | | Difficulty delta | 3 | | L dag | 3.2 | ## 📡 4. Measurement Model Well-posed when MLA is calibrated and scene lies within depth-of-field cone of each sub-aperture. Degrades at occlusion boundaries, specular highlights, and beyond the angular-resolution disparity limit; MLA misregistration couples spatial and angular dimensions. | Metric | Value | |---|---| | Metric | LF_PSNR_dB | | Secondary | refocus_PSNR_dB | ## 📏 5. Operating Range (Ω) **Center problem class:** `lightfield_decoding` · **Forward operator:** `plenoptic_mla_capture` **Center point:** | Parameter | Unit | Value | |---|---|---| | H | px | 625 | | U | — | 9 | | V | — | 9 | | W | px | 434 | | Mla offset | — | 0 | | Mla rotation | — | 0 | | Photon count | — | 1000 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | H | px | 128 – 2048 | | U | — | 3 – 17 | | V | — | 3 – 17 | | W | px | 128 – 2048 | | Mla offset | — | 0.0 – 2.0 | | Mla rotation | — | 0.0 – 0.05 | | Photon count | — | 50 – 10000 | | Disparity range error | — | 0.0 – 2.0 | | Vignetting per subaperture | — | 0.0 – 0.2 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 32.0 dB LF-PSNR | Metric | Range | |---|---| | Psnr db | 20.0 – 44.0 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **LF_PSNR_dB**, with κ = `1500` and δ = `3`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0x55191abc37624bb508f96979eab7ba1021ff0351dbcf59cd8c5159ffb7dfb32c` - **Chain tx hash:** `0xc04066f8e6c6c7543ab3cfb1bee876ebe85343acb514e8882e1b59c19bfd8dc1` - **Chain block:** `41554182` --- ## File Mapping This bundle consists of: `L1-080.md`, `L1-080.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-080.md` | Source of truth — edit this | Human or LLM | | `L1-080.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 `L1-080`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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Read the attached Markdown (L1-080.md).
Regenerate L1-080.json so every field matches the Markdown.
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⌥ Hierarchy

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L2-080-001 Light-Field Decoding Mismatch-Only Spec

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📋 JSON metadata

{
  "artifact_id": "L1-080",
  "chain_block": 41554182,
  "chain_hash": "0x55191abc37624bb508f96979eab7ba1021ff0351dbcf59cd8c5159ffb7dfb32c",
  "chain_tx_hash": "0xc04066f8e6c6c7543ab3cfb1bee876ebe85343acb514e8882e1b59c19bfd8dc1",
  "domain": "Computational Optics",
  "hardness_fn": {
    "delta": 3,
    "kappa": 1500,
    "metric": "LF_PSNR_dB",
    "type": "epsilon_fn"
  },
  "initiator_dataset": [
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      "ipfs_cid": null,
      "license_hash": null,
      "name": "primary",
      "weight": 1.0
    }
  ],
  "layer": "L1",
  "observable_profile": {
    "metric": "LF_PSNR_dB",
    "regime": "Well-posed when MLA is calibrated and scene lies within depth-of-field cone of each sub-aperture. Degrades at occlusion boundaries, specular highlights, and beyond the angular-resolution disparity limit; MLA misregistration couples spatial and angular dimensions.",
    "secondary": "refocus_PSNR_dB"
  },
  "physics_fingerprint": {
    "L_DAG": 3.2,
    "carrier": "photon",
    "difficulty_delta": 3,
    "domain": "Computational Optics",
    "integration_axis": "angular",
    "noise_model": "gaussian",
    "primitives": [
      "L.project.pupil",
      "S.scan.angular",
      "F.shear",
      "int.angular"
    ],
    "problem_class": "linear_inverse",
    "sensing_mechanism": "plenoptic_sampling",
    "solution_space": "4D_light_field",
    "sub_domain": "4D plenoptic sampling",
    "title": "Light-Field (Plenoptic) Imaging"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "plenoptic_mla_capture",
      "focused_plenoptic",
      "camera_array_capture"
    ],
    "allowed_omega_dimensions": [
      "H",
      "W",
      "U",
      "V",
      "photon_count",
      "mla_rotation",
      "mla_offset",
      "vignetting_per_subaperture",
      "disparity_range_error"
    ],
    "allowed_problem_classes": [
      "lightfield_decoding",
      "lightfield_super_resolution",
      "plenoptic_depth"
    ],
    "center_spec": {
      "epsilon_fn_center": "32.0 dB LF-PSNR",
      "forward_operator": "plenoptic_mla_capture",
      "input_format": "raw_lf_mosaic_plus_calibration",
      "omega": {
        "H": 625,
        "U": 9,
        "V": 9,
        "W": 434,
        "mla_offset": 0.0,
        "mla_rotation": 0.0,
        "photon_count": 1000
      },
      "problem_class": "lightfield_decoding"
    },
    "epsilon_bounds": {
      "psnr_db": [
        20.0,
        44.0
      ]
    },
    "omega_bounds": {
      "H": [
        128,
        2048
      ],
      "U": [
        3,
        17
      ],
      "V": [
        3,
        17
      ],
      "W": [
        128,
        2048
      ],
      "disparity_range_error": [
        0.0,
        2.0
      ],
      "mla_offset": [
        0.0,
        2.0
      ],
      "mla_rotation": [
        0.0,
        0.05
      ],
      "photon_count": [
        50,
        10000
      ],
      "vignetting_per_subaperture": [
        0.0,
        0.2
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "4D plenoptic sampling",
  "title": "Light-Field (Plenoptic) Imaging"
}

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