World Coordinate System


The term "World Coordinate System", or "WCS" refers to a coordinate system that describes the positions of objects in the sky rather than in the columns and rows of an image. Mira adopts the WCS definition of the FITS format standard. This standard proscribes both the way in which world coordinates are expressed in the image header and also the image coordinate systems available for FITS format images. Any FITS image meeting the FITS WCS standard will be properly interpreted by Mira. The WCS is implemented using a specific set of header keywords (see "World Coordinate System Keywords" in the Mira User's Guide). The WCS calibration stored in image headers may be used to align them at the subpixel level using the CImCombine:AlignWcs method.

Note

Mira implements FITS WCS support using the dynamic link library FitsWcs.dll. This library resides in the Modules\ subdirectory. If this DLL is not present at startup, Mira will operate normally but will not display world coordinates for FITS images even though they have WCS information.

WCS Projection Types

The mathematical relationship between pixel location and world coordinates is known as the world coordinate projection. The projection type is represented in the FITS header using the CTYPEn keyword, where n refers to the axis dimension. Equatorial calibration usually employs the "Tangent Plane (gnomonic)" projection with CTYPEn Code = TAN. In the FITS header, this equatorial projection for right ascension (axis 1) and declination (axis 2) appears as CTYPE1 = 'RA---TAN' and CTYPE2 = 'DEC--TAN'.

Mira supports the WCS projections listed in the table below. The projection type nWcsProj is returned by the class method CImage:GetWcsProj. The CTYPEn Code is listed in FITS header as the string value of the CTYPEn keyword. The Description is reported in the output from the List WCS Keywords menu command of the Mira user interface.

nWcsProj

CTYPEn Code

Description

-1

 

Pixel WCS (default, no WCS)

0

LIN

Linear projection

1

AZP

Zenithal / Azimuthal Perspective

2

TAN

Tangent Plane (gnomonic)

3

SIN

Orthographic / synthesis

4

STG

Stereographic

5

ARC

Zenithal / azimuthal equidistant

6

ZPN

Zenithal / azimuthal Polymomial

7

ZEA

Zenithal / azimuthal Equal Area

8

AIR

Airy

9

CYP

Cylindrical Perspective

10

CAR

Cartesian

11

MER

Mercator

12

CEA

Cylindrical Equal Area

13

COP

Conic Perspective(COP)

14

COD

Conic equidistant

15

COE

Conic Equal Area

16

COO

Conic Orthomorphic

17

BON

Bonne

18

PCO

Polyconic

19

GLS

Sanson - Flamsteed(Global Sinusoidal)

20

PAR

Parabolic

21

AIT

Hammer - Aitoff

22

MOL

Mollweide

23

CSC

COBE quadrilateralized Spherical Cube

24

QSC

Quadrilateralized Spherical Cube

25

TSC

Tangential Spherical Cube

26

NCP

Special case of Orthographic / synthesis

27

DSS

Digitized Sky Survey plate solution

28

PLT

Plate fit polynomials(SAO)

29

TNX

Tangent Plane (gnomonic, NOAO with corrections)

Related Topics

Image Coordinate System

CImage:GetWcsProj

CImCombine:AlignWcs

 


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