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Analysis: geodesic buffers - #429
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Buffer drew every feature in Web Mercator with one scale factor, 1/cos of the feature's label latitude, so the distance held only at that latitude and east-west: a 1000 km circle at 60N reached 872 km north and 1142 km south, and a 50 km buffer of a line from 5S to 33S was 59 km wide at one end and 50 km at the other. Each feature is now buffered in a spherical azimuthal equidistant projection centred on it (rustgis-geom's Aeqd), and back to lon/lat. A line or polygon outline that reaches more than 150 km from its centre is densified along great circles and buffered in stretches of up to 300 km, each in its own projection; the pieces are joined, and a polygon's buffer is the polygon with its outline's buffer added (or taken away, inward). Select Layer By Location's distance uses the same buffer. Fixes #394
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Code reviewThe change replaces the per-feature Mercator scale correction with true geodesic buffers. Each feature is buffered in an azimuthal equidistant projection centred on it, and long lines or large polygons are buffered in 300 km stretches that are then joined. I read the diff and the surrounding code in Bugs
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AGENTS.md
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Pieces were unwrapped to within 180 degrees of the whole feature's centre, so for a polygon split at the antimeridian (Russia, Fiji) the western half's outline came back near 185 while the half itself stayed at -175, and the union joined shapes 360 degrees apart. Each piece now takes its reference longitude from its first coordinate as written, so a MultiPoint no longer needs a centre (two antipodes had none and lost their buffer). Densifying adds at most 16,000 vertices to one line or ring.
Code reviewI read the diff and the surrounding code. I could not run the code or the tests, so everything below comes from reading it. I left two inline comments. Bugs
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Code reviewThis PR replaces the per-feature Web Mercator scale correction in Bugs
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AGENTS.md
Change sizeCompared: the whole PR against main (merge base c60bbfe to PR head 1edd08e).
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Review comments at @crates/analysis/src/geodesic.rs:
- Around line 55-60: Update Plane::back to preserve pole-containing exterior
rings across longitude seams and handle pole-centred Aeqd planes explicitly,
including the inverse-projection longitude singularity. Add regression tests for
a 1000 km buffer around 85°N and a buffer centred exactly at the pole; verify
containment with polygon_contains and downstream Web Mercator consumers. Do not
apply the source-distance assertion to inserted pole vertices.
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A buffer that holds a pole went once round the globe in longitude and came back as a ring with a 360 degree jump, and a projection centred on a pole had no longitude to give back. A ring round a pole is now cut at the antimeridian (the crossing found along the edge in the plane) and closed along the pole, and Aeqd's inverse reads the meridian from the azimuth at a pole. Select Layer By Location refuses distances over 5000 km, as Buffer does, rather than passing an unbounded one on.
Code reviewI read the full diff and the surrounding code in Bugs
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Change sizeCompared: the whole PR against main (merge base c60bbfe to PR head 04661f6)
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… WGS 84 ellipsoid (#888) (#905) * Analysis: buffers, Tissot's circles and Spatial Join distances on the WGS 84 ellipsoid (#888) Aeqd becomes Karney's ellipsoidal azimuthal equidistant projection: forward is the inverse geodesic problem from the centre, inverse the direct one, both solved by geographiclib-rs (already in the tree through geo). A point's buffer and geodesic_destination (Tissot's circles) are exact on WGS 84; lines and polygons keep #429's planes, now on the ellipsoid. Spatial Join measures the nearest pair with wgs84_distance_m, and its pre-filter uses WGS 84's smallest radius of curvature (b^2/a), so the ellipsoid's shorter distances near the equator are never ruled out. Tests compare with GeographicLib's values (pyproj.Geod(ellps="WGS84")). Lengths and areas stay spherical (#894). Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com> * Spatial Join: a Within a distance test through the grid index at the ellipsoid's 10 km edge; docs note lengths and areas stay spherical (#888) Review follow-up for #905: 20 stops so the join indexes them; the stop 0.0904369 deg north of the equator (9,999.995 m on WGS 84, 10,056 m on the mean sphere) is joined within 10,000 m and the one at 0.0905 deg is not. The test fails with the mean radius back in the join's pre-filter. Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com> * Aeqd: metres that aren't finite give no place; docs give separate length and area bounds (#888) Review follow-up for #905: Aeqd::inverse returned a finite longitude with a NaN latitude for NaN or infinite metres; it now returns NaN for both. The user guide's note on spherical lengths and areas now says up to about 0.6 % for lengths and 0.9 % for areas (a small area near a pole), not 0.5 %. Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com> --------- Co-authored-by: elpidioassinaturas <elpidiofilho@gmail.com> Co-authored-by: Claude Opus 5.5 <noreply@anthropic.com>
Root cause. Buffer drew each feature in Web Mercator and multiplied the distance by one scale factor,
1/cosof the feature's label-point latitude (merc_scale(feature_lat(g))incrates/analysis/src/tools.rs). Web Mercator's scale changes with latitude, so the distance held only at that latitude and in the east-west direction: a 1000 km circle at 60°N reached 872 km north and 1142 km south, and a 50 km buffer of a line from 5°S to 33°S was 59.3 km wide at its northern end and 49.9 km at its southern end. Select Layer By Location's distance had the same code.Fix.
rustgis-geomgains a spherical azimuthal equidistant projection (Aeqd, plain Rust trig, so it builds for wasm),geodesic_destination,geodesic_interpolateandspherical_centre.rustgis_analysis::geodesic::geodesic_buffer: each feature is buffered in an AEQD centred on it, where distances from the centre are true, then taken back to lon/lat. A point is exact. A line or polygon that stays within 150 km of its centre is buffered in one piece (error under 0.01%). A longer one has its edges densified along great circles (10 km) and is buffered in stretches of up to 300 km, each in its own projection, and the pieces are joined; a large polygon's buffer is the polygon plus its outline's buffer (minus it, for a negative distance). MultiPoints are a union of exact circles. Longitudes stay continuous across the antimeridian.docs/user-guide/analysis.mdsays the distances are geodesic.Test.
buffers_keep_their_distance_on_the_earthchecks every vertex of the issue's two buffers, plus a 20°×20° polygon buffered by +100 km and −100 km, against great-circle distance to the feature. Vertices on the arcs are within 0.2%. Where two pieces' arcs cross, a vertex can sit up to geo's chord sag (0.5% at its 0.2 rad steps) inside. Onmainthe point fails: it reaches 872 km north. Also new unit tests forAeqd,geodesic_destinationandgeodesic_interpolate.Fixes #394
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