Conversions supported by TransLT

Table no.1: Conversions
Type of source coordinates   Type of target coordinates EPSG
method code
Geographic coordinates (φ, λ, h) → Geocentric cartesian coordinates (X, Y, Z)* 9602
Geocentric cartesian coordinates (X, Y, Z) → Geographic coordinates (φ, λ, h) 9602
Geographic coordinates (φ, λ) → Plane coordinates (N, E) according to the selected projection -
Plane coordinates (N, E) → Geographic coordinates (φ, λ) according to the selected projection -

Note(*): For this conversion you can choose if the ellipsoidal altitude h is used or not in the calculation. If not used it is considered that h= 0.000 (geographic 2D case).

The map projections supported by TransLT

Table no.2: Map projections

No.

Projection name Applicable on
ellipsoid 		Applicable on
spheroid 		Reversible EPSG
method code
Cylindrical Projections

1

Cassini-Soldner

√

√

√

9806

2

Central Cylindrical

√

√

-

3

Cylindrical Equal Area (Normal)

√

√

√

9834, 9835

4

Cylindrical Equal Area (Oblique)

√

√

√

-

5

Cylindrical Equal Area (Transverse)

√

√

√

-

6

Equidistant Cylindrical

√

√

√

1028, 1029

7

Gall Stereographic Cylindrical

√

√

-

8

Hotine Oblique Mercator (Variant A)

√

√

√

9812

9

Hotine Oblique Mercator (Variant B)

√

√

√

9814, 9815

10

Hyperbolic Cassini-Soldner

√

√

9833

11

Laborde for Madagascar

√

√

√

9813

12

Mercator (1SP) (Variant A)

√

√

√

1026, 9804

13

Mercator (2SP) (Variant B)

√

√

√

9805

14

Mercator (2SP) (Variant C)

√

√

√

1044

15

Miller Cylindrical

√

√

-

16

Popular Visualisation Pseudo Mercator

√

√

√

1024

17

Swiss Oblique Mercator

√

√

√

-

18

Transverse Mercator

√

√

√

1111, 9807, 1150, 1153

19

Transverse Mercator (South Orientated)

√

√

√

9808

20

Transverse Mercator Zoned Grid System

√

√

√

9824

21

Tunisia Mining Grid

√

√

√

9816

22

Universal Transverse Mercator (UTM)

√

√

√

-
Pseudocylindrical Projections

23

Collignon

√

√

-

24

Eckert I

√

√

-

25

Eckert II

√

√

-

26

Eckert III

√

√

-

27

Eckert IV

√

√

-

28

Eckert V

√

√

-

29

Eckert VI

√

√

-

30

Equal Earth

√

√

√

1078

31

Fahey (Modified Gall)

√

√

-

32

Foucaut Sinusoidal

√

√

-

33

Foucaut Stereographic Equivalent

√

√

-

34

Hatano Asymmetrical Equal Area

√

√

-

35

Kavraiskiy V

√

√

-

36

Kavraiskiy VII

√

√

-

37

Loximuthal

√

√

-

38

McBride-Thomas Flat-Polar Parabolic (No. 5)

√

√

-

39

McBryde-Thomas Flat-Polar Quartic (No. 4)

√

√

-

40

McBryde-Thomas Flat-Polar Sine (No. 1)

√

√

-

41

McBryde-Thomas Flat-Polar Sinusoidal (No. 3)

√

√

-

42

McBryde-Thomas Flat-Pole Sine (No. 2)

√

√

-

43

Mollweide

√

√

-

44

Nell

√

√

-

45

Nell-Hammer

√

√

-

46

Pseudo Plate Carrée

√

√

√

9825

47

Putnins P1

√

√

-

48

Putnins P2

√

√

-

49

Putnins P3

√

√

-

50

Putnins P3p

√

√

-

51

Putnins P4 (Craster Parabolic)

√

√

-

52

Putnins P4p

√

√

-

53

Putnins P5

√

√

-

54

Putnins P5p

√

√

-

55

Putnins P6

√

√

-

56

Putnins P6p

√

√

-

57

Quartic Authalic

√

√

-

58

Sinusoidal (Sanson-Flamsteed)

√

√

√

-

59

Wagner I (Kavraiskiy VI)

√

√

-

60

Wagner II

√

√

-

61

Wagner III

√

√

-

62

Wagner IV

√

√

-

63

Wagner V

√

√

-

64

Wagner VI

√

√

-

65

Werenskiold I

√

√

-

66

Winkel I

√

√

-

67

Winkel II

√

-
Conic Projections

68

Albers Equal Area

√

√

√

9822

69

Bipolar conic of western hemisphere

√

√

-

70

Equidistant Conic

√

√

√

1119

71

Euler (Equidistant Conic)

√

√

-

72

Krovak Oblique Conformal Conic

√

√

√

9819

73

Krovak Oblique Conformal Conic (North Orientated)

√

√

√

1041

74

Krovak Oblique Conformal Conic Modified

√

√

√

1042

75

Krovak Oblique Conformal Conic Modified (North Orientated)

√

√

√

1043

76

Lambert Conformal Conic (1SP variant B)

√

√

√

1102, 1152

77

Lambert Conformal Conic (1SP)

√

√

√

9801

78

Lambert Conformal Conic (1SP) West Orientated

√

√

√

9826

79

Lambert Conformal Conic (2SP)

√

√

√

9802, 1151

80

Lambert Conformal Conic (2SP) Belgium

√

√

√

9803

81

Lambert Conformal Conic (2SP) Michigan

√

√

√

1051

82

Lambert Conic Near-Conformal

√

√

9817

83

Murdoch I (Equidistant Conic)

√

√

-

84

Murdoch II

√

√

-

85

Murdoch III (Equidistant Conic, minimum error)

√

√

-

86

Perspective Conic

√

√

-

87

Tissot

√

√

-

88

Vitkovskiy I (Equidistant Conic)

√

√

-
Pseudoconic Projections

89

Bonne (South Orientated)

√

√

√

9828

90

Bonne (Werner for lat.1sp = 90°)

√

√

√

9827
Polyconic Projections

91

American Polyconic

√

√

√

9818

92

International Map of the World (Modified Polyconic)

√

√

√

-
Azimuthal Projections

93

Azimuthal Equidistant (Charles F. F. Karney formulas)

√

√

√

1125

94

Azimuthal Equidistant (J.P. Snyder formulas)

√

√

√

-

95

Colombia Urban Projection

√

√

√

1052

96

Gnomonic

√

√

-

97

Guam (Azimuthal Equidistant)

√

√

9831

98

Lambert Azimuthal Equal Area

√

√

√

1027, 9820

99

Lee Oblated Stereographic

√

√

-

100

Local Orthographic

√

√

√

1130

101

Miller Oblated Stereographic

√

√

-

102

Mod. Stererographics of 48 U.S.

√

√

-

103

Mod. Stererographics of 50 U.S.

√

√

√

-

104

Mod. Stererographics of Alaska

√

√

√

-

105

Modified Azimuthal Equidistant (for Micronesia)

√

√

9832

106

Oblique Stereographic

√

√

√

9809

107

Orthographic

√

√

√

9840

108

Polar Stereographic Variant A (Universal)

√

√

√

9810

109

Polar Stereographic Variant B

√

√

√

9829

110

Polar Stereographic Variant C

√

√

√

9830

111

Stereographic (J.P. Snyder formulas)

√

√

√

-

112

Topocentric local

√

√

√

9836, 9837

113

Vertical Perspective

√

√

9838

114

Vertical Perspective (Orthographic case)

√

√

9839
Miscellaneous Projections

115

New Zealand Map Grid

√

√

9811

116

Van der Grinten

√

√

-

The transformations with parameters supported by TransLT

Table no.3: Transformations with parameters

Transformation type

Method

No.
parameters

Invertible
parameters

Reversible

EPSG
method code

1D transformation

3D plane rotation

5

√

-

Translate to elevation

1

√

√

-

2D transformation

Helmert 2D conformal transformation

4

√

√

9621, 9656

Helmert 2D conformal transformation with rotation origin

6

√

-

Affine orthogonal 2D transformation

5

√

-

Affine non-orthogonal 2D transformation

6

√

√

1049, 9623, 9624, 9666

3D transformation

Helmert 3D conformal transformation the Bursa-Wolf method

7

√

√

1031, 1032, 1033, 1035, 1037, 1038, 1132, 1133, 1140, 1143, 1149, 1160

Helmert 3D conformal transformation the Molodenski-Badekas method

10

1034, 1039, 1061, 1062, 1063, 9603, 9604, 9605, 9606, 9607, 9636, 1153

Helmert 3D conformal transformation

7

√

√

-

Affine 3D transformation

8

-

Affine 3D transformation

9

-

Affine 3D transformation with rotation origin

12

-

Time-dependent 3D transformation, Bursa-Wolf method

15

√

√

1053, 1054, 1055, 1056, 1057, 1058, 1064, 1065, 1066

Time-dependent 3D transformation, Helmert conformal

15

√

-

The polynomial transformations supported by TransLT

Table no.4: Polynomial transformations

Method

Polynomial degree

Reversible

EPSG
method code

General polynomial

2

9645

3

9646

4

9647

6

9648

13

-

Reversible polynomial

2

√

9649

3

√

9650

4

√

9651

6

√

-

13

√

9654

Complex polynomial

3

9652

4

9653

Madrid to ED50 polynomial

1

9617

The types of grid files supported by TransLT

Table no.5: The types of grid files

File extension

Format

File description

Applied to

EPSG
method code

.94

Binary

Geoid model VERTCON format

h

9658

.asc

ASCII

Geoid model ASC format

h

1085

.b

Binary

NADCON 5, GEOCON, GEOCON 11 or VERTCON 3.0 format

(φ,λ,h), (φ,λ) or h

1074, 1075

.bin

Binary

Geoid model NGS or Gravsoft format

h

1047, 1093, 1109, 1110, 1134, 1135

.byn

Binary

Geoid model GSD format

h

1060, 1090, 1126

.csv

ASCII

Geoid model NZLVD (New Zealand) or BEV AT (Austria) format

h

1071, 1080, 1081, 1089

.dat

Binary

NTv1 format

(φ, λ)

9614

.dat

ASCII

Geoid model DAT format

h

1059, 1082, 1098, 9661

.ggf

Binary

Geoid model Trimble GGF format

h

-

.grd

Binary

ANCPI 1D or 2D format (Romania)

(N, E) or h

-

.grd

ASCII

Geoid model NGA (EGM96) or SURFER format

h

1103, 1105, 1106, 9661

.grd

Binary

Displacement grids with SOPAC (HDF5) format

(φ,λ,h), (φ,λ) or h

1148

.grd

Binary

Geoid model GTrans format

h

-

.gri

ASCII

Geoid model Gravsoft (OSGM15) format

h

1047, 1072, 1093, 1096

.gsb1

Binary

NTv2 format, files with multiple grids that cover more areas, the grids can have sub-grids attached

(φ, λ) or h

1048, 1083, 9614, 9615, 1150, 1151, 1152, 1160

.gsf

ASCII

Geoid model Carlson SurvCE GSF format

h

-

.gtx

Binary

Geoid model GTX format

h

1084, 1088, 1121, 1122, 9665

.gvb1

Binary

Point motion NTv2_Vel format, files with multiple grids that cover more areas, the grids can have sub-grids attached

(φ, λ, h)

1070, 1113, 1114, 1141

.gz

Archive

EGM2008 geoid model, NGA format

h

1025, 1092

.json

ASCII

Triangulated model, TIN format

(N,E), (φ, λ) or H

1137, 1138, 1145

.json

ASCII

ROMGEO 1D or 2D format (Romania)

(N,E) or H

-

.las / .los2

Binary

NADCON format

(φ, λ)

9613

.lla

ASCII

Latitude and longitude corrections in PROJ4 format

(φ, λ)

-

.mnt

ASCII

IGN with MNT format

(φ, λ) or h

1073, 1087, 1095

.tac

ASCII

IGN with TAC format

(φ, λ) or h

1073, 1087, 1095, 1120

.par

ASCII

PatchJGD or POS2JGD format (Japan)

(φ,λ,h), (φ,λ) or h

1162

.sid

ASCII

Geoid model NZGV format

h

1030

.tif

Binary

GeoTiff format

Any type

1123, 1124, 1127, 1128, 1129, 1142, 1143, 1144, 1147

.txt

ASCII

IGN with TXT format

(φ, λ) or h

1087, 1094, 9664

.txt3

ASCII

OSTN02/OSGM02 or OSTN15/OSGM15 1D or 3D format

(N,E,H), (N,E) or H

1045, 1097, 9633, 9663

.txt4

ASCII

Geoid model CING11 format

h

1050, 1082, 1091, 1098

gugik*.txt

ASCII

GUGiK PL TXT format

(φ, λ, h) or h

1099, 1100, 1101

.isg.txt

ASCII

Geoid model ISG format

h

1117, 1118

.vrf

ASCII

Geoid model VORF format

h

1115, 1116

.zip

Archive

Deformation model NZGD2000 format

(φ,λ,h), (φ,λ) or h

1079

Grid interpolation methods: Bilinear, Bicubic spline, Biquadratic and No interpolation (nearest node).

Note1: For the .gsb or .gvb files that contain sub-grids the interpolation is made in the last sub-grid where the point is found. Firstly it is searched for the main grid where the point is found and afterwards it is searched in all its descendants. If the point is inside a sub-grid, this sub-grid is used for interpolation.

Note2: The .las and .los files are used together. For selection one of the two files will be selected.

Note3: For files with .txt extension, which can be in either IGN, OSTN02/OSGM02 or OSTN15/OSGM15 format, the differentiation of these is made by choosing file names containing the words OSGM or OSTN for OSTN02/OSGM02 or OSTN15/OSGM15 format, file names that do not contain these words being considered in IGN format.

Note4: Similar to note 3, but the text inside the file name is in this case GM0811 starting with the third character.

Offset methods supported by TransLT

Table no.6: Coordinates offsets

Method name

Applied to

Reversible

EPSG
method code

Longitude rotation

λ

√

 9601

Vertical Offset

h

√

 1131, 1136, 9616

Vertical Offset and Slope

h

√

 1046

Geographic 2D offsets

(φ, λ)

√

 9619

Geographic 2D with Height Offsets

(φ, λ, h)

√

 9618

Geographic 3D offsets

(φ, λ, h)

√

 9660

Geographic 3D to 2D conversion

h = 0.0

√

 9659

Geographic 2D axis order reversal

(φ, λ)

√

 9843

Geographic 3D axis order change

(φ, λ)

√

 9844

Change of vertical axis direction

h

√

 -

Change of horizontal axes directions

(φ, λ), (N, E)

√

 -

Change of all axes directions

(N, E, H), (X, Y, Z)

√

 -

Change of vertical axis unit

h

√

 1069, 1104

Change of horizontal axes units

(φ, λ), (N, E)

√

 -

Change of all axes units

(N, E, H), (X, Y, Z)

√

 -

Points motion (ellipsoidal)

(φ, λ, h)

√

 1067, 1146

Change zero-tide height to mean-tide height

h

√

 1107

Predefined constants and functions for transformations with own formulas

Coordinate transformations from a source system to a target one can be made with the help of own formulas. The constants and functions that can be used are presented in the following table:

Table no.7: Predefined constants and functions

Name

Description

Example

pi

Pythagorean number pi = 3.1415926535...

e

Euler’s number e = 2.718281828...

abs

absolute value

abs(-1.0) = 1.0

abs(1.0) = 1.0

sqrt

square root

sqrt(2.0) = 1.41421356...

pow(B,n)

raises base B to power n

pow(25,1.5) = 125.0

ln

natural logarithm

ln(e) = 1.0

sin

sine calculated for angles in radians

sin(pi/2) = 1.0

cos

cosine calculated for angles in radians

cos(pi/2) = 0.0

tan

tangent calculated for angles in radians

tan(pi/4) = 1.0

asin

arcsine, the return value will fall in the range [-pi/2, pi/2]

asin(1.0) = pi/2

acos

arccosine, the return value will fall in the range [0, pi/2]

acos(0.0) = pi/2

atan

arctangent, the return value will fall in the range [-pi/2, pi/2]

atan(1.0) = pi/4

atan2(dy,dx)

arctangent angle and quadrant, the return value will fall in the range [-pi, pi] (all quadrants)

atan2(-5.0,0.0) = -pi/2

sinh

hyperbolic sine

sinh(ln(2.0)) = 0.75

cosh

hyperbolic cosine

cosh(ln(2.0)) = 1.25

tanh

hyperbolic tangent

tanh(ln(2.0)) = 0.6

asinh

hyperbolic arcsine

asinh(0.75) = ln(2.0)

acosh

hyperbolic arccosine

acosh(1.25) = ln(2.0)

atanh

hyperbolic arctangent

atanh(0.6) = ln(2.0)

rtod

conversion from radians to decimal degrees

rtod(pi) = 180.0

dtor

conversion from decimal degrees to radians

dtor(180.0) = pi