Integral Photography (Lippmann-style MLA capture + reconstruction) L1-081

Computational OpticsMicrolens-array 3D imagingδ=3 · standardL_DAG = 3📋 Stub — not mineable

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Unclaimed Principle — open for contribution

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Forward model E

y (i, j) = k \sum I_{k} (i - u_{k}, j - v_{k}) \cdot m l a_{m} a s k_{k} (i, j) + n (i, j) w h er e I_{k} i s t h e k - t h e l e m e n t a l ima g e

Integral photography records a scene through a microlens array in front of (or near) the sensor; each microlens forms a small image of the exit pupil. The result is an elemental-image array whose pixel-for-pixel rearrangement produces multiple sub-aperture views that jointly encode 3D structure. Viewing through a matched MLA recreates the light field; digital reconstruction solves for parallax, depth, or view synthesis.

L-DAG

L.project.pupil -> L.linear_op -> L.rearrange -> int.spatial

L.project.pupilL.linear_opL.rearrangeint.spatial

Well-posedness W

Existence:: true
Uniqueness:: true
Stability:: conditional
κ:: 1200

Well-conditioned when MLA is rigidly calibrated and angular/spatial trade-off is sufficient (N_ml * L_x >= scene bandwidth). Fourier-mode integral photography trades angular for spatial resolution; reconstruction is linear with known MLA geometry.

Solvability C

Solver class:: pixel rearrangement + sub-aperture extraction, iterative MLA super-resolution (ADMM), learned LF super-resolution applied to IP views
Convergence rate q:: 2
Complexity:: O(H_s * W_s) for rearrangement; O(N_iter * H * W * L_x * L_y) for super-resolution

Specs (0)

No L2 specs registered yet for this principle.