| { | |
| "schema_version": 1, | |
| "title": "Reproduction: Rotation-Invariant Spherical Watermarking via Third-Order SO(3) Representation Coupling", | |
| "emoji": "🌐", | |
| "space_id": "snaykey/repro-spherical-watermarking", | |
| "paper": { | |
| "openreview_id": "SBfIuo2Ets" | |
| }, | |
| "tags": [ | |
| "icml2026-repro", | |
| "paper-SBfIuo2Ets" | |
| ], | |
| "updated_at": "2026-07-31T00:00:00Z", | |
| "root": { | |
| "slug": "index", | |
| "title": "Reproduction: Rotation-Invariant Spherical Watermarking via Third-Order SO(3) Representation Coupling", | |
| "file": "pages/index.md", | |
| "children": [ | |
| { | |
| "slug": "executive-summary", | |
| "title": "Executive summary", | |
| "file": "pages/executive-summary/page.md", | |
| "children": [] | |
| }, | |
| { | |
| "slug": "claim-1-triad-bispectrum-construction", | |
| "title": "The method (TRIAD) constructs a third-order spherical bispectrum by coupling three irreducible SO(3) representations via tensor products and projecting onto the trivial representation using Clebsch-Gordan coefficients, yielding a rotation-invariant scalar that preserves phase information (Section 3).", | |
| "file": "pages/claim-1-triad-bispectrum-construction/page.md", | |
| "children": [] | |
| }, | |
| { | |
| "slug": "claim-2-thm41-so3-invariance", | |
| "title": "Theorem 4.1 proves the third-order bispectrum invariant is strictly invariant under arbitrary SO(3) rotations, with perturbations to higher-order harmonic coefficients producing detectable changes in the invariant (Theorem 4.1).", | |
| "file": "pages/claim-2-thm41-so3-invariance/page.md", | |
| "children": [] | |
| }, | |
| { | |
| "slug": "claim-3-embedding-degrees-6-8-14", | |
| "title": "Watermarks are embedded into spherical harmonic coefficients at degrees 6, 8, and 14 via SO(3)-equivariant operations to avoid perceptible artifacts in low-frequency (coarse) content (Section 3).", | |
| "file": "pages/claim-3-embedding-degrees-6-8-14/page.md", | |
| "children": [] | |
| }, | |
| { | |
| "slug": "claim-4-rotation-bitaccuracy-vs-baselines", | |
| "title": "Under arbitrary 3D rotations, TRIAD maintains near-100% bit accuracy while baseline watermarking methods (with or without rotation augmentation) collapse in performance (Section 5).", | |
| "file": "pages/claim-4-rotation-bitaccuracy-vs-baselines/page.md", | |
| "children": [] | |
| }, | |
| { | |
| "slug": "claim-5-fidelity-psnr-ssim", | |
| "title": "Watermarked panoramic images retain high visual fidelity, with PSNR of 39.22 dB and SSIM of 0.9946 (Section 5).", | |
| "file": "pages/claim-5-fidelity-psnr-ssim/page.md", | |
| "children": [] | |
| }, | |
| { | |
| "slug": "claim-6-distortion-robustness-capacity", | |
| "title": "TRIAD also achieves 100% bit accuracy under JPEG compression, Gaussian blur, Gaussian noise, and resizing, though embedding capacity is constrained to roughly 32-64 bits because harmonics above degree 16 are vulnerable to lossy compression and aliasing (Section 5).", | |
| "file": "pages/claim-6-distortion-robustness-capacity/page.md", | |
| "children": [] | |
| }, | |
| { | |
| "slug": "conclusion", | |
| "title": "Conclusion", | |
| "file": "pages/conclusion/page.md", | |
| "children": [] | |
| } | |
| ] | |
| } | |
| } |