L1 ⚛ L1-027 ⊙ Testnet

Coded Aperture Compressive Temporal Imaging (CACTI)

Compressive Imaging · Video snapshot compressive sensing

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⬇ L1-027.md

# ⚛ L1 Principle — Coded Aperture Compressive Temporal Imaging (CACTI) **ID:** `L1-027` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Compressive Imaging — *Video snapshot compressive sensing* > **🎯 Problem class:** linear inverse · **🧮 Solution space:** 3D temporal > **📡 Carrier:** photon · **🌫 Noise:** shot poisson > **⚖ Difficulty (δ):** 3 · **⛓ Block:** 41554169 --- ## 🧠 1. Introduction **Coded Aperture Compressive Temporal Imaging (CACTI)** is a **linear inverse problem** whose unknown lives in **3D temporal** space, within the **Video snapshot compressive sensing** sub-domain of **Compressive Imaging**. Measurements consist of photons collected by an optical detector via a **coded aperture temporal** sensing mechanism. The forward operator applies, in order: S · temporal · coded operator; detector accumulates flux over the exposure window. Observations are corrupted by Poisson shot noise from quantum-limited detection. B:1 underdetermined compressive video recovery; temporally varying binary masks satisfy RIP-like conditions; sub-pixel mask mismatch is dominant stability risk (EfficientSCI drops 20.58 dB under severe mismatch). ## ⚙ 2. Forward Model Physical chain: **x** → S · temporal · coded → Temporal integration → **y** (detector). ``` y = ∫_t dt `S.temporal.coded` x, measurements ~ Poisson(αy) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `S.temporal.coded` | S · temporal · coded operator | | `int.temporal` | Detector accumulates flux over the exposure window | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Compressive Imaging | | Sub domain | Video snapshot compressive sensing | | Carrier | photon | | Problem class | linear_inverse | | Solution space | 3D_temporal | | Noise model | shot_poisson | | Integration axis | temporal | | Difficulty delta | 3 | | L dag | 2 | ## 📡 4. Measurement Model B:1 underdetermined compressive video recovery; temporally varying binary masks satisfy RIP-like conditions; sub-pixel mask mismatch is dominant stability risk (EfficientSCI drops 20.58 dB under severe mismatch). | Metric | Value | |---|---| | Metric | PSNR_dB | | Secondary | SSIM | ## 📏 5. Operating Range (Ω) **Center problem class:** `temporal_video_reconstruction` · **Forward operator:** `cacti_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | B | — | 8 | | H | px | 256 | | W | px | 256 | | Dt | — | 0 | | Dx | — | 0 | | Dy | — | 0 | | Eta | — | 1 | | Gamma | — | 1 | | Theta | — | 0 | | Offset | — | 0 | | Sigma n | N | 1 | | Noise level | — | 0.01 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | B | — | 4 – 32 | | H | px | 32 – 1024 | | W | px | 32 – 1024 | | Dt | — | 0.0 – 0.1 | | Dx | — | 0.0 – 1.0 | | Dy | — | 0.0 – 1.0 | | Eta | — | 0.9 – 1.0 | | Gamma | — | 0.95 – 1.05 | | Theta | — | 0.0 – 0.15 | | Offset | — | 0.0 – 0.01 | | Sigma n | N | 0.5 – 2.0 | | Noise level | — | 0.001 – 0.1 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 26.0 dB PSNR | Metric | Range | |---|---| | Psnr db | 20.0 – 40.0 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **PSNR_dB**, with κ = `2500` and δ = `3`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0x358452e94a8000ae267129d34159166c22092f50ea4d2af9f2e91bf2a2839b6f` - **Chain tx hash:** `0x565c37f5c04d28ed1681606262565513c236183fea46467edd8cd6fa2650521c` - **Chain block:** `41554169` --- ## File Mapping This bundle consists of: `L1-027.md`, `L1-027.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-027.md` | Source of truth — edit this | Human or LLM | | `L1-027.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 `L1-027`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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Read the attached Markdown (L1-027.md).
Regenerate L1-027.json so every field matches the Markdown.
Preserve the schema documented in the File Mapping footer at the bottom of the MD.
Output each file in its own fenced code block tagged with the filename.

⌥ Hierarchy

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L2-027-001 CACTI Mismatch-Only Spec (SCI video benchmark family)

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📋 JSON metadata

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    "title": "Coded Aperture Compressive Temporal Imaging (CACTI)"
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  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Video snapshot compressive sensing",
  "title": "Coded Aperture Compressive Temporal Imaging (CACTI)"
}

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