Light-Field (Plenoptic) Imaging L1-080

Computational Optics4D plenoptic samplingδ=3 · standardL_DAG = 3.2📋 Stub — not mineable

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Unclaimed Principle — open for contribution

This Principle is declared in the catalog but has no reference solver, no pinned dataset, and is not registered on-chain. There is no reward pool. Submitting a cert against this Principle today will record the cert for reproducibility but pay zero PWM.

To claim it as a Bounty #7 contribution: open a PR adding (1) a reference solver, (2) ≥1 dataset pinned to IPFS, (3) updates to the L3 manifest with dataset CIDs. After verifier-agent triple-review, the founders' 3-of-5 multisig signs PWMRegistry.register() and the Principle becomes mineable.

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Forward model E

I (u, v) = iin t L (u - a \cdot s, v - a \cdot t, s, t) d s d t (p r o j ec t i o na t s l o p e a => d e pt h z = f / a)

A plenoptic camera samples the 4D light field L(u,v,s,t) (spatial x angular) via a main lens + microlens array (MLA) or a camera array. Each microlens projects the pupil onto an (s,t) sub-image; the 4D LF supports refocusing at any depth z via shear-integration and sub-aperture view synthesis.

L-DAG

L.project.pupil -> S.scan.angular -> F.shear -> int.angular

L.project.pupilS.scan.angularF.shearint.angular

Well-posedness W

Existence:: true
Uniqueness:: true
Stability:: conditional
κ:: 1500

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.

Solvability C

Solver class:: shear-sum refocus (analytical), epipolar-plane image (EPI) depth estimation, iterative LF super-resolution, learned (LFGAN, LFTransformer, DistgLF)
Convergence rate q:: 2
Complexity:: O(H * W * U * V) for refocus; O(U * V * H * W * log) for deep LF super-resolution

Specs (0)

No L2 specs registered yet for this principle.