Supported Transformations and Conversions

Conversions supported by TransLT

Table no.1: Conversions
Type of source coordinates		Type of target coordinates
Geographic coordinates (φ, λ, h)	→	Geocentric Cartesian coordinates (X, Y, Z)*
Cartesian geocentric coordinates (X, Y, Z)	→	Geographic coordinates (φ, λ, h)
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*
Cylindrical Projections
No.	Projection name	Applicable on ellipsoid	Applicable on spheroid	Reversible
1	Cassini-Soldner	√	√	√
2	Central Cylindrical		√	√
3	Cylindrical Equal Area (Normal)	√	√	√
4	Cylindrical Equal Area (Oblique)	√	√	√
5	Cylindrical Equal Area (Transverse)	√	√	√
6	Equidistant Cylindrical	√	√	√
7	Gall Stereographic Cylindrical		√	√
8	Hotine Oblique Mercator (Variant A)	√	√	√
9	Hotine Oblique Mercator (Variant B)	√	√	√
10	Hyperbolic Cassini-Soldner	√		√
11	Laborde for Madagascar	√	√	√
12	Mercator (1SP) (Variant A)	√	√	√
13	Mercator (2SP) (Variant B)	√	√	√
14	Mercator (2SP) (Variant C)	√	√	√
15	Miller Cylindrical		√	√
16	Popular Visualisation Pseudo Mercator	√	√	√
17	Swiss. Obl. Mercator	√	√	√
18	Transverse Mercator	√	√	√
19	Transverse Mercator (South Orientated)	√	√	√
20	Transverse Mercator Zoned Grid System	√	√	√
21	Tunisia Mining Grid	√	√	√
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	√	√	√
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	√	√	√
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	√	√	√
69	Bipolar conic of western hemisphere		√	√
70	Equidistant Conic	√	√	√
71	Euler (Equidistant Conic)		√	√
72	Krovak Oblique Conformal Conic	√	√	√
73	Krovak Oblique Conformal Conic (North Orientated)	√	√	√
74	Krovak Oblique Conformal Conic Modified	√	√	√
75	Krovak Oblique Conformal Conic Modified (North Orientated)	√	√	√
76	Lambert Conformal Conic (1SP)	√	√	√
77	Lambert Conformal Conic (1SP variant B)	√	√	√
78	Lambert Conformal Conic (1SP) West Orientated	√	√	√
79	Lambert Conformal Conic (2SP)	√	√	√
80	Lambert Conformal Conic (2SP) Belgium	√	√	√
81	Lambert Conformal Conic (2SP) Michigan	√	√	√
82	Lambert Conic Near-Conformal	√		√
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)	√	√	√
90	Bonne (Werner for lat.1sp = 90°)	√	√	√
Polyconic Projections
91	American Polyconic	√	√	√
92	International Map of the World (Modified Polyconic)	√	√	√
Azimuthal Projections
93	Azimuthal Equidistant	√	√	√
94	Colombia Urban Projection	√	√	√
95	Gnomonic		√	√
96	Guam (Azimuthal Equidistant)	√		√
97	Lambert Azimuthal Equal Area	√	√	√
98	Lee Oblated Stereographic		√	√
99	Miller Oblated Stereographic		√	√
100	Mod. Stererographics of 48 U.S.		√	√
101	Mod. Stererographics of 50 U.S.	√	√	√
102	Mod. Stererographics of Alaska	√	√	√
103	Modified Azimuthal Equidistant (for Micronesia)	√		√
104	Oblique Stereographic	√	√	√
105	Orthographic	√	√	√
106	Polar Stereographic Variant A (Universal)	√	√	√
107	Polar Stereographic Variant B	√	√	√
108	Polar Stereographic Variant C	√	√	√
109	Stereographic (J.P. Snyder formulas)	√	√	√
110	Topocentric local	√	√	√
111	Vertical Perspective	√	√
112	Vertical Perspective (Orthographic case)	√	√
Miscellaneous Projections
113	New Zealand Map Grid	√		√
114	Van der Grinten		√	√

The transformations with parameters supported by TransLT

Table no.3: Transformations with parameters
Transformation type	Method	No. parameters	Invertible parameters	Reversible
1D transformation	3D plane rotation	5		√
1D transformation	Translate to elevation	1	√	√
2D transformation	Helmert 2D conformal transformation	4	√	√
	Helmert 2D conformal transformation with rotation origin	6		√
	Affine orthogonal 2D transformation	5		√
	Affine non-orthogonal 2D transformation	6	√	√
3D transformation	Helmert 3D conformal transformation the Bursa-Wolf method	7	√	√
	Helmert 3D conformal transformation the Molodenski-Badekas method	10
	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	√	√
	Time-dependent 3D transformation, Helmert conformal	15		√

The polynomial transformations supported by TransLT

Table no.4: Polynomial transformations
Method	Polynomial degree	Reversible
General polynomial	2
	3
	4
	6
	13
Reversible polynomial	2	√
	3	√
	4	√
	6	√
	13	√
Complex polynomial	3
Complex polynomial	4
Madrid to ED50 polynomial	1

The types of grid files supported by TransLT

Table no.5: The types of grid files
File extension	Format	File description	Applied to
.94	Binary	Geoid model VERTCON format	h
.asc	ASCII	Geoid model ASC format	h
.b	Binary	NADCON 5, GEOCON, GEOCON 11 or VERTCON 3.0 format	(φ,λ,h), (φ,λ) or h
.bin	Binary	Geoid model NGS format	h
.byn	Binary	Geoid model GSD format	h
.csv	ASCII	Geoid model NZLVD (New Zealand) or BEV AT (Austria) format	h
.dat	Binary	NTv1 format	(φ, λ)
.dat	ASCII	Geoid model DAT format	h
.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
.gri	ASCII	Geoid model Gravsoft (OSGM15) format	h
.gsb¹	Binary	NTv2 format, files with multiple grids that cover more areas, the grids can have sub-grids attached	(φ, λ) or h
.gsf	ASCII	Geoid model Carlson SurvCE GSF format	h
.gtx	Binary	Geoid model GTX format	h
.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)
.gz	Archive	EGM2008 geoid model, NGA format	h
.las / .los²	Binary	NADCON format	(φ, λ)
.lla	ASCII	Latitude and longitude corrections in PROJ4 format	(φ, λ)
.mnt	ASCII	IGN with MNT format	(φ, λ) or h
.sid	ASCII	Geoid model NZGV format	h
.txt	ASCII	IGN with TXT format	(φ, λ) or h
.txt³	ASCII	OSTN02/OSGM02 or OSTN15/OSGM15 1D or 3D format	(N,E,H), (N,E) or H
.txt⁴	ASCII	Geoid model CING11 format	h
gugik*.txt	ASCII	GUGiK PL TXT format	(φ, λ, h) or h
.isg.txt	ASCII	Geoid model ISG format	h
.zip	Archive	Deformation model NZGD2000 format	(φ,λ,h), (φ,λ) or h
Grid interpolation methods: Bilinear, Bicubic spline and Biquadratic.

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
Longitude rotation	λ	√
Vertical Offset	h	√
Vertical Offset and Slope	h	√
Geographic 2D offsets	(φ, λ)	√
Geographic 2D with Height Offsets	(φ, λ, h)	√
Geographic 3D offsets	(φ, λ, h)	√
Geographic 3D to 2D conversion	h = 0.0	√
Geographic 2D axis order reversal	(φ, λ)	√
Geographic 3D axis order change	(φ, λ)	√
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	√
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)	√
Change zero-tide height to mean-tide height	h	√

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