10.5.2 Tilings

Pixel tiling functions for the celestial sphere.

The k parameter for the HEALPix functions is the HEALPix order, which can be in the range 0<=k<=29. This is the logarithm to base 2 of the HEALPix NSIDE parameter. At order k, there are 12*4^k pixels on the sphere.

healpixNestIndex( k, lon, lat )

Gives the pixel index for a given sky position in the HEALPix NEST scheme.

• k (integer): HEALPix order (0..29)
• lon (floating point): longitude in degrees
• lat (floating point): latitude in degrees
• return value (long integer): pixel index

healpixRingIndex( k, lon, lat )

Gives the pixel index for a given sky position in the HEALPix RING scheme.

• k (integer): HEALPix order (0..29)
• lon (floating point): longitude in degrees
• lat (floating point): latitude in degrees
• return value (long integer): pixel index

healpixNestLon( k, index )

Returns the longitude of the approximate center of the tile with a given index in the HEALPix NEST scheme.

• k (integer): HEALPix order (0..29)
• index (long integer): healpix index
• return value (floating point): longitude in degrees

healpixNestLat( k, index )

Returns the latitude of the approximate center of the tile with a given index in the HEALPix NEST scheme.

• k (integer): HEALPix order (0..29)
• index (long integer): healpix index
• return value (floating point): latitude in degrees

healpixRingLon( k, index )

Returns the longitude of the approximate center of the tile with a given index in the HEALPix RING scheme.

• k (integer): HEALPix order (0..29)
• index (long integer): healpix index
• return value (floating point): longitude in degrees

healpixRingLat( k, index )

Returns the latitude of the approximate center of the tile with a given index in the HEALPix NEST scheme.

• k (integer): HEALPix order (0..29)
• index (long integer): healpix index
• return value (floating point): latitude in degrees

healpixNestToRing( k, nestIndex )

Converts a healpix ring index from the NEST to the RING scheme at a given order.

• k (integer): HEALPix order (0..29)
• nestIndex (long integer): pixel index in NEST scheme
• return value (long integer): pixel index in RING scheme

healpixRingToNest( k, ringIndex )

Converts a healpix ring index from the RING to the NEST scheme at a given order.

• k (integer): HEALPix order (0..29)
• ringIndex (long integer): pixel index in RING scheme
• return value (long integer): pixel index in NEST scheme

healpixK( pixelsize )

Gives the HEALPix resolution parameter suitable for a given pixel size. This k value is the logarithm to base 2 of the Nside parameter.

• pixelsize (floating point): pixel size in degrees
• return value (integer): HEALPix order k

healpixResolution( k )

Gives the approximate resolution in degrees for a given HEALPix resolution parameter k This k value is the logarithm to base 2 of the Nside parameter.

• k (integer): HEALPix order (0..29)
• return value (floating point): approximate angular resolution in degrees

healpixSteradians( k )

Returns the solid angle in steradians of each HEALPix pixel at a given order.

• k (integer): HEALPix order (0..29)
• return value (floating point): pixel size in steradians

healpixSqdeg( k )

Returns the solid angle in square degrees of each HEALPix pixel at a given order.

• k (integer): HEALPix order (0..29)
• return value (floating point): pixel size in steradians

steradiansToSqdeg( sr )

Converts a solid angle from steradians to square degrees.

The unit sphere is 4*PI steradians = 360*360/PI square degrees.

• sr (floating point): quantity in steradians
• return value (floating point): quantity in sqare degrees

sqdegToSteradians( sqdeg )

Converts a solid angle from square degrees to steradians.

The unit sphere is 4*PI steradians = 360*360/PI square degrees.

• sqdeg (floating point): quantity in square degrees
• return value (floating point): quantity in steradians

htmLevel( pixelsize )

Gives the HTM level parameter suitable for a given pixel size.

• pixelsize (floating point): required resolution in degrees
• return value (integer): HTM level parameter

htmResolution( level )

Gives the approximate resolution in degrees for a given HTM depth level.

• level (integer): HTM depth
• return value (floating point): approximate angular resolution in degrees

SQDEG

Solid angle in steradians corresponding to 1 square degree.