Coordinate conversion with the Gauss-Krüger Projection

CoordinateConverterGK.jl is a Julia package for conversion between the Cartesian coordinates and the geographic coordinates for a point with the Gauss-Krüger Projection.

N, E = latlon2yx(φ₀, λ₀, φ, λ)

Coordinate transformation between geographic and plane rectangular coordinates on the Gauss-Krüger Projection This function is based on the following documents: https://www.gsi.go.jp/common/000061216.pdf https://vldb.gsi.go.jp/sokuchi/surveycalc/surveycalc/algorithm/xy2bl/xy2bl.htm https://vldb.gsi.go.jp/sokuchi/surveycalc/surveycalc/algorithm/bl2xy/bl2xy.htm

input arguments

• φ₀, λ₀ : latitude of origin and central meridian
• φ , λ : geographic latitude and longitude

return values

• N, E : plane rectangular coordinates northing and easting

Examples

julia> # ANSWER: y = 11543.6883, x = 22916.2436

julia> latlon2yx(36.0, 139.0+5.0/6.0, 36.103774791666666, 140.08785504166664)
(11543.688321484718, 22916.24355431881)

E, N = lonlat2xy(λ₀, φ₀, λ, φ)

See lanlon2yx

λ, φ = xy2lonlat(λ₀, φ₀, E, N)

See yx2latlon

φ , λ = yx2latlon(φ₀, λ₀, N, E)

Coordinate transformation between geographic and plane rectangular coordinates on the Gauss-Krüger Projection This function is based on the following documents: https://www.gsi.go.jp/common/000061216.pdf https://vldb.gsi.go.jp/sokuchi/surveycalc/surveycalc/algorithm/xy2bl/xy2bl.htm https://vldb.gsi.go.jp/sokuchi/surveycalc/surveycalc/algorithm/bl2xy/bl2xy.htm

input arguments

• φ₀, λ₀ : latitude of origin and central meridian
• N, E : plane rectangular coordinates northing and easting

return values

• φ , λ : geographic latitude and longitude

Examples

julia> # ANSWER: lat = 36.10404755, lon = 140.08539843

julia> yx2latlon(36.0, 139.83333333, 11573.375, 22694.980)
(36.104047552508895, 140.08539842726532)