Structured-Light 3D Imaging (projector-camera triangulation) L1-097
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.
Forward model E
A projector casts a sequence of known patterns onto the scene; a calibrated camera captures K images of the deformed patterns. For each pixel, decoding the pattern ID (Gray-code + phase-shift) assigns a projector column index; triangulating camera ray and projector plane via the calibrated epipolar geometry yields depth.
L-DAG
Well-posedness W
- Existence:
- true
- Uniqueness:
- true
- Stability:
- conditional
- κ:
- 600
Well-posed when K projector-pattern bits exceed log2(W_p) + phase-unwrap margin and surface is Lambertian. Degrades on specular, translucent, dark, and high-frequency surfaces (e.g. hair), in strong ambient light, and at occlusions (camera sees but projector cannot).
Solvability C
- Solver class:
- Gray-code binary decode + phase-shift sub-pixel, phase-unwrap (TPU), robust decode (graph-cut), learned (SL-Net, DeepSL)
- Convergence rate q:
- 2
- Complexity:
- O(K * H * W) for decode; O(H * W) for triangulation