Ensuring Authority in State Plane Coordinate Conversions の座標変換

Technical Summary: How digital coordinate converters process State Plane (SPCS) Lambert Conformal Conic and Transverse Mercator projections.
実務リスク警告

誤った測地系(データム)の指定や、グリッド・地上補正(Grid-to-Ground)を適用しない座標変換は、1〜400mの位置ズレを引き起こします。これは測量過失請求や施工紛争の代表的な原因です。

技術事例・判例を見る 契約上の測地系リスク リスク試算シミュレーター

When converting from State Plane to Latitude/Longitude (WGS84), the underlying mathematical engine must handle both the grid projection and the datum shift.

The Two-Step Formula

First, the Easting/Northing grid coordinates are un-projected using complex polynomial formulas (like Lambert Conformal Conic or Transverse Mercator) to determine the geodetic latitude and longitude on the NAD83 ellipsoid. Second, a 3-parameter (or 14-parameter for higher accuracy) datum transformation is applied to shift that NAD83 coordinate onto the WGS84 ellipsoid.

Using un-audited converter tools can result in bypassing the datum shift, resulting in visually correct but mathematically disastrous 1m errors.

よくある技術的な質問

How accurate are online coordinate converters?

High-quality converters use PROJ algorithms mapped directly to official EPSG registry codes, ensuring sub-millimeter mathematical conversion. However, users must ensure they specify the correct input and output datums (e.g. NAD83 vs WGS84).