@prefix this: . @prefix sub: . @prefix np: . @prefix rdf: . @prefix prov: . @prefix npx: . @prefix dc: . @prefix xsd: . sub:Head { this: a np:Nanopublication; np:hasAssertion sub:assertion; np:hasProvenance sub:provenance; np:hasPublicationInfo sub:pubinfo . } sub:assertion { sub:s2-equal-area-healpix-outcome a ; "2026-06-27"^^xsd:date; "Sentinel-2 equal-area HEALPix power-spectrum outcome"; """The angular power spectrum of a Sentinel-2 scene can be computed end to end on an equal-area HEALPix grid on the WGS84 ellipsoid with the GRID4EARTH stack (healpix-geo + healpix-analyse). Because every HEALPix cell covers the same surface area, the resulting spectrum carries none of the latitude-dependent area weighting that a lon/lat grid would impose — supporting the claim by construction. The spectrum shows the expected monotonic power-law fall-off with spatial frequency, the signature of a natural surface-reflectance field."""; ; """Configuration and result recorded in results/powerspectrum.json: - scene S2A_22WEV_20190723, band B04 (red, 10 m), 256×256 px window (~2.6 km) - equal-area HEALPix at depth 18 (nside = 262144), ellipsoid = WGS84 - field sampled at equal-area cell centres, then radially-averaged isotropic power spectrum computed with healpix-analyse `ps` - the spectrum (results/powerspectrum.png) falls off monotonically with spatial frequency on a log–log axis (power-law behaviour), with no latitude-dependent amplitude term, because the cells are equal-area by construction. Github repository: https://github.com/annefou/healpix-analyse-s2-powerspectrum"""; """The repo demonstrates the equal-area pipeline rather than quantifying the lon/lat bias it avoids: no side-by-side lon/lat baseline spectrum is computed here, so the bias magnitude is argued by construction, not measured. Single scene, single band, single date; no atmospheric, cloud, or coastal effects; generalisation to other sensors and to a controlled multi-latitude comparison is left to follow-up."""; ; ; . } sub:provenance { sub:assertion prov:wasAttributedTo . } sub:pubinfo { "Anne Fouilloux" . this: dc:created "2026-06-28T15:46:05.059Z"^^xsd:dateTime; dc:creator ; dc:license ; npx:introduces sub:s2-equal-area-healpix-outcome; npx:wasCreatedAt ; "Sentinel-2 equal-area HEALPix power-spectrum outcome"; . sub:sig npx:hasAlgorithm "RSA"; npx:hasPublicKey "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"; npx:hasSignature "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"; npx:hasSignatureTarget this:; npx:signedBy . }