JTS polygon intersection calc on a geoid

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I am using JTS to compute intersections between polygons with WGS84 lat/lon coordinates. I am not converting coordinates to anything 2D based, just reading in POLYGON(lat lon, lat lon) and doing geometry1.relate(geometry2).

Will that give me correct answers all the time?

My polygons are roughly 1m to 100m in size, located in US and Alaska.

If it's completely wrong, should I convert WGS84 to UTM? Using JTS/GeoTools/Proj4J ?



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