Class TLcdGML31Sphere

All Implemented Interfaces:
ILcdDataObject, ILcdBounded, ILcdShape, ILcdCloneable, ILcdDeepCloneable, ILcdFeatured, ILcdSelfDescribedFeatured, Serializable, Cloneable

public class TLcdGML31Sphere extends TLcdGML31AbstractGriddedSurface
A sphere is a gridded surface given as a family of circles whose positions vary linearly along the axis of the sphere, and whise radius varies in proportions to the cosine function of the central angle. The horizontal circles resemble lines of constant latitude, and the vertical arcs resemble lines of constant longitude. NOTE! If the control points are sorted in terms of increasing longitude, and increasing latitude, the upNormal of a sphere is the outward normal. EXAMPLE If we take a gridded set of latitudes and longitudes in degrees,(u,v) such as (-90,-180) (-90,-90) (-90,0) (-90, 90) (-90, 180) (-45,-180) (-45,-90) (-45,0) (-45, 90) (-45, 180) ( 0,-180) ( 0,-90) ( 0,0) ( 0, 90) ( 0, 180) ( 45,-180) ( 45,-90) ( 45,0) ( 45, -90) ( 45, 180) ( 90,-180) ( 90,-90) ( 90,0) ( 90, -90) ( 90, 180) And map these points to 3D using the usual equations (where R is the radius of the required sphere). z = R sin u x = (R cos u)(sin v) y = (R cos u)(cos v) We have a sphere of Radius R, centred at (0,0), as a gridded surface. Notice that the entire first row and the entire last row of the control points map to a single point in each 3D Euclidean space, North and South poles respectively, and that each horizontal curve closes back on itself forming a geometric cycle. This gives us a metrically bounded (of finite size), topologically unbounded (not having a boundary, a cycle) surface.
Since:
10.0
See Also:
  • Field Details

    • HORIZONTAL_CURVE_TYPE_PROPERTY

      public static final TLcdDataProperty HORIZONTAL_CURVE_TYPE_PROPERTY
      Data property that maps to the horizontalCurveType attribute. The possible values for this property are instances of ELcdGML31CurveInterpolation.
    • VERTICAL_CURVE_TYPE_PROPERTY

      public static final TLcdDataProperty VERTICAL_CURVE_TYPE_PROPERTY
      Data property that maps to the verticalCurveType attribute. The possible values for this property are instances of ELcdGML31CurveInterpolation.
  • Constructor Details

    • TLcdGML31Sphere

      public TLcdGML31Sphere()
    • TLcdGML31Sphere

      public TLcdGML31Sphere(TLcdDataType aType)
  • Method Details