| 1 | /* -*-c++-*- OpenSceneGraph - Copyright (C) 1998-2006 Robert Osfield |
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| 2 | * |
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| 3 | * This library is open source and may be redistributed and/or modified under |
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| 4 | * the terms of the OpenSceneGraph Public License (OSGPL) version 0.0 or |
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| 5 | * (at your option) any later version. The full license is in LICENSE file |
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| 6 | * included with this distribution, and on the openscenegraph.org website. |
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| 7 | * |
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| 8 | * This library is distributed in the hope that it will be useful, |
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| 9 | * but WITHOUT ANY WARRANTY; without even the implied warranty of |
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| 10 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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| 11 | * OpenSceneGraph Public License for more details. |
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| 12 | */ |
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| 13 | |
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| 14 | #ifndef OSG_COORDINATESYSTEMNODE |
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| 15 | #define OSG_COORDINATESYSTEMNODE 1 |
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| 16 | |
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| 17 | #include <osg/Group> |
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| 18 | #include <osg/Matrixd> |
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| 19 | |
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| 20 | namespace osg |
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| 21 | { |
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| 22 | |
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| 23 | const double WGS_84_RADIUS_EQUATOR = 6378137.0; |
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| 24 | const double WGS_84_RADIUS_POLAR = 6356752.3142; |
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| 25 | |
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| 26 | /** EllipsoidModel encapsulates the ellipsoid used to model astronomical bodies, |
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| 27 | * such as sun, planets, moon etc. |
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| 28 | * All distance quantities (i.e. heights + radius) are in meters, |
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| 29 | * and latitude and longitude are in radians.*/ |
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| 30 | class EllipsoidModel : public Object |
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| 31 | { |
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| 32 | public: |
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| 33 | |
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| 34 | /** WGS_84 is a common representation of the earth's spheroid */ |
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| 35 | EllipsoidModel(double radiusEquator = WGS_84_RADIUS_EQUATOR, |
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| 36 | double radiusPolar = WGS_84_RADIUS_POLAR): |
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| 37 | _radiusEquator(radiusEquator), |
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| 38 | _radiusPolar(radiusPolar) { computeCoefficients(); } |
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| 39 | |
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| 40 | EllipsoidModel(const EllipsoidModel& et,const CopyOp& copyop=CopyOp::SHALLOW_COPY): |
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| 41 | Object(et,copyop), |
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| 42 | _radiusEquator(et._radiusEquator), |
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| 43 | _radiusPolar(et._radiusPolar) { computeCoefficients(); } |
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| 44 | |
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| 45 | META_Object(osg,EllipsoidModel); |
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| 46 | |
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| 47 | void setRadiusEquator(double radius) { _radiusEquator = radius; computeCoefficients(); } |
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| 48 | double getRadiusEquator() const { return _radiusEquator; } |
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| 49 | |
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| 50 | void setRadiusPolar(double radius) { _radiusPolar = radius; computeCoefficients(); } |
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| 51 | double getRadiusPolar() const { return _radiusPolar; } |
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| 52 | |
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| 53 | inline void convertLatLongHeightToXYZ(double latitude, double longitude, double height, |
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| 54 | double& X, double& Y, double& Z) const; |
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| 55 | |
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| 56 | inline void convertXYZToLatLongHeight(double X, double Y, double Z, |
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| 57 | double& latitude, double& longitude, double& height) const; |
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| 58 | |
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| 59 | inline void computeLocalToWorldTransformFromLatLongHeight(double latitude, double longitude, double height, osg::Matrixd& localToWorld) const; |
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| 60 | |
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| 61 | inline void computeLocalToWorldTransformFromXYZ(double X, double Y, double Z, osg::Matrixd& localToWorld) const; |
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| 62 | |
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| 63 | inline void computeCoordinateFrame(double latitude, double longitude, osg::Matrixd& localToWorld) const; |
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| 64 | |
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| 65 | inline osg::Vec3d computeLocalUpVector(double X, double Y, double Z) const; |
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| 66 | |
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| 67 | // Convenience method for determining if EllipsoidModel is a stock WGS84 ellipsoid |
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| 68 | inline bool isWGS84() const {return(_radiusEquator == WGS_84_RADIUS_EQUATOR && _radiusPolar == WGS_84_RADIUS_POLAR);} |
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| 69 | |
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| 70 | // Compares two EllipsoidModel by comparing critical internal values. |
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| 71 | // Ignores _eccentricitySquared since it's just a cached value derived from |
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| 72 | // the _radiusEquator and _radiusPolar members. |
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| 73 | friend bool operator == ( const EllipsoidModel & e1, const EllipsoidModel& e2) {return(e1._radiusEquator == e2._radiusEquator && e1._radiusPolar == e2._radiusPolar);} |
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| 74 | |
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| 75 | |
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| 76 | protected: |
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| 77 | |
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| 78 | void computeCoefficients() |
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| 79 | { |
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| 80 | double flattening = (_radiusEquator-_radiusPolar)/_radiusEquator; |
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| 81 | _eccentricitySquared = 2*flattening - flattening*flattening; |
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| 82 | } |
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| 83 | |
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| 84 | double _radiusEquator; |
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| 85 | double _radiusPolar; |
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| 86 | double _eccentricitySquared; |
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| 87 | |
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| 88 | }; |
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| 89 | |
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| 90 | /** CoordinateFrame encapsulates the orientation of east, north and up.*/ |
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| 91 | typedef Matrixd CoordinateFrame; |
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| 92 | |
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| 93 | /** CoordinateSystem encapsulate the coordinate system that is associated with objects in a scene. |
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| 94 | For an overview of common earth bases coordinate systems see http://www.colorado.edu/geography/gcraft/notes/coordsys/coordsys_f.html */ |
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| 95 | class OSG_EXPORT CoordinateSystemNode : public Group |
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| 96 | { |
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| 97 | public: |
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| 98 | |
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| 99 | CoordinateSystemNode(); |
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| 100 | |
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| 101 | CoordinateSystemNode(const std::string& format, const std::string& cs); |
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| 102 | |
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| 103 | /** Copy constructor using CopyOp to manage deep vs shallow copy.*/ |
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| 104 | CoordinateSystemNode(const CoordinateSystemNode&,const osg::CopyOp& copyop=osg::CopyOp::SHALLOW_COPY); |
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| 105 | |
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| 106 | META_Node(osg,CoordinateSystemNode); |
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| 107 | |
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| 108 | |
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| 109 | /** Set the coordinate system node up by copying the format, coordinate system string, and ellipsoid model of another coordinate system node.*/ |
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| 110 | void set(const CoordinateSystemNode& csn); |
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| 111 | |
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| 112 | /** Set the coordinate system format string. Typical values would be WKT, PROJ4, USGS etc.*/ |
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| 113 | void setFormat(const std::string& format) { _format = format; } |
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| 114 | |
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| 115 | /** Get the coordinate system format string.*/ |
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| 116 | const std::string& getFormat() const { return _format; } |
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| 117 | |
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| 118 | /** Set the CoordinateSystem reference string, should be stored in a form consistent with the Format.*/ |
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| 119 | void setCoordinateSystem(const std::string& cs) { _cs = cs; } |
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| 120 | |
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| 121 | /** Get the CoordinateSystem reference string.*/ |
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| 122 | const std::string& getCoordinateSystem() const { return _cs; } |
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| 123 | |
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| 124 | |
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| 125 | /** Set EllipsoidModel to describe the model used to map lat, long and height into geocentric XYZ and back. */ |
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| 126 | void setEllipsoidModel(EllipsoidModel* ellipsode) { _ellipsoidModel = ellipsode; } |
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| 127 | |
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| 128 | /** Get the EllipsoidModel.*/ |
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| 129 | EllipsoidModel* getEllipsoidModel() { return _ellipsoidModel.get(); } |
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| 130 | |
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| 131 | /** Get the const EllipsoidModel.*/ |
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| 132 | const EllipsoidModel* getEllipsoidModel() const { return _ellipsoidModel.get(); } |
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| 133 | |
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| 134 | /** Compute the local coordinate frame for specified point.*/ |
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| 135 | CoordinateFrame computeLocalCoordinateFrame(const Vec3d& position) const; |
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| 136 | |
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| 137 | /** Compute the local up-vector for specified point.*/ |
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| 138 | osg::Vec3d computeLocalUpVector(const Vec3d& position) const; |
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| 139 | |
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| 140 | protected: |
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| 141 | |
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| 142 | virtual ~CoordinateSystemNode() {} |
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| 143 | |
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| 144 | std::string _format; |
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| 145 | std::string _cs; |
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| 146 | ref_ptr<EllipsoidModel> _ellipsoidModel; |
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| 147 | |
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| 148 | }; |
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| 149 | |
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| 150 | |
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| 151 | |
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| 152 | //////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// |
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| 153 | // implement inline methods. |
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| 154 | // |
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| 155 | inline void EllipsoidModel::convertLatLongHeightToXYZ(double latitude, double longitude, double height, |
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| 156 | double& X, double& Y, double& Z) const |
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| 157 | { |
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| 158 | // for details on maths see http://www.colorado.edu/geography/gcraft/notes/datum/gif/llhxyz.gif |
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| 159 | double sin_latitude = sin(latitude); |
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| 160 | double cos_latitude = cos(latitude); |
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| 161 | double N = _radiusEquator / sqrt( 1.0 - _eccentricitySquared*sin_latitude*sin_latitude); |
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| 162 | X = (N+height)*cos_latitude*cos(longitude); |
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| 163 | Y = (N+height)*cos_latitude*sin(longitude); |
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| 164 | Z = (N*(1-_eccentricitySquared)+height)*sin_latitude; |
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| 165 | } |
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| 166 | |
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| 167 | |
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| 168 | inline void EllipsoidModel::convertXYZToLatLongHeight(double X, double Y, double Z, |
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| 169 | double& latitude, double& longitude, double& height) const |
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| 170 | { |
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| 171 | // http://www.colorado.edu/geography/gcraft/notes/datum/gif/xyzllh.gif |
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| 172 | double p = sqrt(X*X + Y*Y); |
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| 173 | double theta = atan2(Z*_radiusEquator , (p*_radiusPolar)); |
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| 174 | double eDashSquared = (_radiusEquator*_radiusEquator - _radiusPolar*_radiusPolar)/ |
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| 175 | (_radiusPolar*_radiusPolar); |
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| 176 | |
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| 177 | double sin_theta = sin(theta); |
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| 178 | double cos_theta = cos(theta); |
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| 179 | |
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| 180 | latitude = atan( (Z + eDashSquared*_radiusPolar*sin_theta*sin_theta*sin_theta) / |
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| 181 | (p - _eccentricitySquared*_radiusEquator*cos_theta*cos_theta*cos_theta) ); |
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| 182 | longitude = atan2(Y,X); |
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| 183 | |
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| 184 | double sin_latitude = sin(latitude); |
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| 185 | double N = _radiusEquator / sqrt( 1.0 - _eccentricitySquared*sin_latitude*sin_latitude); |
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| 186 | |
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| 187 | height = p/cos(latitude) - N; |
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| 188 | } |
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| 189 | |
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| 190 | inline void EllipsoidModel::computeLocalToWorldTransformFromLatLongHeight(double latitude, double longitude, double height, osg::Matrixd& localToWorld) const |
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| 191 | { |
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| 192 | double X, Y, Z; |
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| 193 | convertLatLongHeightToXYZ(latitude,longitude,height,X,Y,Z); |
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| 194 | |
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| 195 | localToWorld.makeTranslate(X,Y,Z); |
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| 196 | computeCoordinateFrame(latitude, longitude, localToWorld); |
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| 197 | } |
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| 198 | |
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| 199 | inline void EllipsoidModel::computeLocalToWorldTransformFromXYZ(double X, double Y, double Z, osg::Matrixd& localToWorld) const |
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| 200 | { |
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| 201 | double latitude, longitude, height; |
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| 202 | convertXYZToLatLongHeight(X,Y,Z,latitude,longitude,height); |
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| 203 | |
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| 204 | localToWorld.makeTranslate(X,Y,Z); |
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| 205 | computeCoordinateFrame(latitude, longitude, localToWorld); |
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| 206 | } |
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| 207 | |
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| 208 | inline void EllipsoidModel::computeCoordinateFrame(double latitude, double longitude, osg::Matrixd& localToWorld) const |
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| 209 | { |
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| 210 | // Compute up vector |
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| 211 | osg::Vec3d up ( cos(longitude)*cos(latitude), sin(longitude)*cos(latitude), sin(latitude)); |
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| 212 | |
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| 213 | // Compute east vector |
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| 214 | osg::Vec3d east (-sin(longitude), cos(longitude), 0); |
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| 215 | |
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| 216 | // Compute north vector = outer product up x east |
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| 217 | osg::Vec3d north = up ^ east; |
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| 218 | |
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| 219 | // set matrix |
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| 220 | localToWorld(0,0) = east[0]; |
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| 221 | localToWorld(0,1) = east[1]; |
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| 222 | localToWorld(0,2) = east[2]; |
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| 223 | |
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| 224 | localToWorld(1,0) = north[0]; |
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| 225 | localToWorld(1,1) = north[1]; |
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| 226 | localToWorld(1,2) = north[2]; |
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| 227 | |
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| 228 | localToWorld(2,0) = up[0]; |
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| 229 | localToWorld(2,1) = up[1]; |
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| 230 | localToWorld(2,2) = up[2]; |
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| 231 | } |
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| 232 | |
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| 233 | inline osg::Vec3d EllipsoidModel::computeLocalUpVector(double X, double Y, double Z) const |
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| 234 | { |
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| 235 | // Note latitude is angle between normal to ellipsoid surface and XY-plane |
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| 236 | double latitude; |
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| 237 | double longitude; |
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| 238 | double altitude; |
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| 239 | convertXYZToLatLongHeight(X,Y,Z,latitude,longitude,altitude); |
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| 240 | |
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| 241 | // Compute up vector |
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| 242 | return osg::Vec3d( cos(longitude) * cos(latitude), |
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| 243 | sin(longitude) * cos(latitude), |
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| 244 | sin(latitude)); |
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| 245 | } |
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| 246 | |
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| 247 | } |
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| 248 | #endif |
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