Package skyview.geometry.projecter

Class Toa

java.lang.Object

skyview.geometry.Transformer

skyview.geometry.Projecter

skyview.geometry.projecter.Toa

All Implemented Interfaces:

java.io.Serializable, Component

public class Toa
extends Projecter

This class provides for the translation between coordinates and an HTM-based projection.

The projection is centered at the north pole. The south pole is projected to the four corners at (+/-1, +/-1). The equator projects to the diagonals running between the points (-1,0)->(0,1), (0,1)->(1,0), (1,0)->(0,-1), (-1,0)->(0,-1). These diagonals divide the four unit squares at the center of the coordinate grid into 8 right isoceles triangles.

The position 0,0 projects to 0,1 while the position 90,0 projects to 1,0. Note that in an astronomical projection the coordinates will normally have the X axis inverted, so that 0,0 will project to -1,0.

The 8 triangles correspond to the 8 initial triangles of the HTM decomposition of the sphere. The projection is defined such that the subtriangles in the HTM decomposition are mapped to isoceles right-triangles in the projection plane.

This call may be called in the same fashion as standard projections or it may be called to create a tile space. In this case the object immediately computes the coordinates corresponding to all pixels in a tile and later returns these as requested.

The tiles are numbered with tile 0,0 as the top, left tile. The vertical orientation of the tiles is therefore the opposite of the orientation of the pixel values within the tiles and within the FITS files generated. Note that when SkyView generates quicklook images it flips the Y-axis to accommodate the difference between the astronomical and imaging conventions.

See Also:

Serialized Form

Nested Class Summary

Nested Classes

Modifier and Type	Class	Description
class	Toa.ToaDeproj	Deproject from the ToastPlane back to the unit sphere

Constructor Summary

Constructors

Constructor	Description
Toa()

Method Summary

Modifier and Type	Method	Description
double[]	find(double lon, double lat)
java.lang.String	getDescription()	Get the description of this component.
java.lang.String	getName()	Get the name of this component.
Deprojecter	inverse()	Get the inverse
boolean	isInverse(Transformer obj)	Are these two transformations, inverses of each other? This method is used to optimize a series of transformations where transformations.
static void	main(java.lang.String[] args)
double[]	project(double lon, double lat)	Calculate the x,y corresponding to a given lon/lat
void	setPrecision(double epsilon, double minDelta)	Specify precision used in non-grid project/deproject calculations
double[]	shadowPoint(double x, double y)	Return a shadowpoint for the input location.
static void	show(java.lang.String prefix, double[] vector)
boolean	straddle(double[][] vertices)	Does this pixel go wrap around the standard region of the image? E.g., does it straddle the 180 deg in a Car or Ait projection?
boolean	straddleable()	Is it possible for a pixel to straddle the valid region.
double[][][]	straddleComponents(double[][] vertices)	If this is a straddling pixel, then return the straddle components
double[][][]	tile(int level, int ix, int iy, int subdiv)
void	transform(double[] unit, double[] plane)	Convert a single point where the output vector is supplied.
boolean	validPosition(double[] plane)	Is this a valid position in the projection plane for this image.

Methods inherited from class skyview.geometry.Projecter

allValid, getInputDimension, getOutputDimension, getXTiling, getYTiling, tissot

Methods inherited from class skyview.geometry.Transformer

transform, transform

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

Toa

public Toa()

Method Detail

validPosition

public boolean validPosition(double[] plane)

Description copied from class: Projecter

Is this a valid position in the projection plane for this image. This default is appropriate for all projections where the projection plane is infinite.

Overrides:

validPosition in class Projecter

setPrecision

public void setPrecision(double epsilon,
                         double minDelta)

Specify precision used in non-grid project/deproject calculations

project

public double[] project(double lon,
                        double lat)

Calculate the x,y corresponding to a given lon/lat

Parameters:

lon - The longitude in radians.

lat - The latitude in radians.

Returns:

A pair of coordinates in the projection plane where there coordinates are in the range [-1,1].

find

public double[] find(double lon,
                     double lat)

getName

public java.lang.String getName()

Description copied from interface: Component

Get the name of this component.

getDescription

public java.lang.String getDescription()

Description copied from interface: Component

Get the description of this component.

isInverse

public boolean isInverse(Transformer obj)

Description copied from class: Transformer

Are these two transformations, inverses of each other? This method is used to optimize a series of transformations where transformations.

Specified by:

isInverse in class Transformer

inverse

public Deprojecter inverse()

Description copied from class: Projecter

Get the inverse

Specified by:

inverse in class Projecter

transform

public void transform(double[] unit,
                      double[] plane)

Description copied from class: Transformer

Convert a single point where the output vector is supplied.

Specified by:

transform in class Transformer

Parameters:

unit - The input vector.

plane - The output vector, it may be the same as the input vector if the dimensionalities are the same. All transformers are expected to work with aliased inputs and output.

tile

public double[][][] tile(int level,
                         int ix,
                         int iy,
                         int subdiv)

show

public static void show(java.lang.String prefix,
                        double[] vector)

main

public static void main(java.lang.String[] args)
                 throws java.lang.Exception

Throws:

java.lang.Exception

straddleable

public boolean straddleable()

Description copied from class: Projecter

Is it possible for a pixel to straddle the valid region.

Overrides:

straddleable in class Projecter

shadowPoint

public double[] shadowPoint(double x,
                            double y)

Description copied from class: Projecter

Return a shadowpoint for the input location. Shadowpoints are not defined for all projections.

Overrides:

shadowPoint in class Projecter

straddle

public boolean straddle(double[][] vertices)

Description copied from class: Projecter

Does this pixel go wrap around the standard region of the image? E.g., does it straddle the 180 deg in a Car or Ait projection?

Overrides:

straddle in class Projecter

straddleComponents

public double[][][] straddleComponents(double[][] vertices)

Description copied from class: Projecter

If this is a straddling pixel, then return the straddle components

Overrides:

straddleComponents in class Projecter