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Added support for Transversal Mercator projection

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This commit is contained in:
Martin Tůma 2017-03-29 00:17:47 +02:00
parent b3dc886afc
commit b3e8081942
13 changed files with 244 additions and 35 deletions
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9
gpxsee.pro
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@ -84,7 +84,10 @@ HEADERS += src/config.h \
src/mapdir.h \
src/matrix.h \
src/tar.h \
src/atlas.h
src/atlas.h \
src/projection.h \
src/mercator.h \
src/transversemercator.h
SOURCES += src/main.cpp \
src/gui.cpp \
src/poi.cpp \
@ -144,7 +147,9 @@ SOURCES += src/main.cpp \
src/mapdir.cpp \
src/matrix.cpp \
src/tar.cpp \
src/atlas.cpp
src/atlas.cpp \
src/mercator.cpp \
src/transversemercator.cpp
RESOURCES += gpxsee.qrc
TRANSLATIONS = lang/gpxsee_cs.ts \
lang/gpxsee_sv.ts

10
src/coordinates.cpp
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@ -17,16 +17,6 @@ qreal Coordinates::distanceTo(const Coordinates &c) const
return (WGS84_RADIUS * (2.0 * atan2(sqrt(a), sqrt(1.0 - a))));
}
QPointF Coordinates::toMercator() const
{
return QPointF(_lon, rad2deg(log(tan(M_PI/4.0 + deg2rad(_lat)/2.0))));
}
Coordinates Coordinates::fromMercator(const QPointF &m)
{
return Coordinates(m.x(), rad2deg(2 * atan(exp(deg2rad(m.y()))) - M_PI/2));
}
QDebug operator<<(QDebug dbg, const Coordinates &coordinates)
{
dbg.nospace() << "Coordinates(" << coordinates.lon() << ", "

7
src/coordinates.h
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@ -11,7 +11,9 @@ public:
Coordinates() {_lon = NAN; _lat = NAN;}
Coordinates(const Coordinates &c) {_lon = c._lon; _lat = c._lat;}
Coordinates(qreal lon, qreal lat) {_lon = lon; _lat = lat;}
Coordinates(const QPointF &p) {_lon = p.x(), _lat = p.y();}
QPointF toPointF() const {return QPointF(_lon, _lat);}
qreal &rlon() {return _lon;}
qreal &rlat() {return _lat;}
@ -29,11 +31,6 @@ public:
qreal distanceTo(const Coordinates &c) const;
QPair<Coordinates, Coordinates> boundingRect(qreal distance) const;
QPointF toMercator() const;
static Coordinates fromMercator(const QPointF &m);
QPointF toPointF() const {return QPointF(_lon, _lat);}
private:
qreal _lat, _lon;
};

7
src/emptymap.cpp
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@ -4,6 +4,7 @@
#include "rd.h"
#include "wgs84.h"
#include "coordinates.h"
#include "mercator.h"
#include "emptymap.h"
@ -27,7 +28,7 @@ qreal EmptyMap::zoomFit(const QSize &size, const QRectF &br)
else {
Coordinates topLeft(br.topLeft());
Coordinates bottomRight(br.bottomRight());
QRectF tbr(topLeft.toMercator(), bottomRight.toMercator());
QRectF tbr(Mercator().ll2xy(topLeft), Mercator().ll2xy(bottomRight));
QPointF sc(tbr.width() / size.width(), tbr.height() / size.height());
@ -65,12 +66,12 @@ void EmptyMap::draw(QPainter *painter, const QRectF &rect)
QPointF EmptyMap::ll2xy(const Coordinates &c) const
{
QPointF m = c.toMercator();
QPointF m = Mercator().ll2xy(c);
return QPointF(m.x() / _scale, m.y() / -_scale);
}
Coordinates EmptyMap::xy2ll(const QPointF &p) const
{
QPointF m(p.x() * _scale, -p.y() * _scale);
return Coordinates::fromMercator(m);
return Mercator().xy2ll(m);
}

13
src/mercator.cpp Normal file
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@ -0,0 +1,13 @@
#include <cmath>
#include "rd.h"
#include "mercator.h"
QPointF Mercator::ll2xy(const Coordinates &c) const
{
return QPointF(c.lon(), rad2deg(log(tan(M_PI/4.0 + deg2rad(c.lat())/2.0))));
}
Coordinates Mercator::xy2ll(const QPointF &p) const
{
return Coordinates(p.x(), rad2deg(2 * atan(exp(deg2rad(p.y()))) - M_PI/2));
}

13
src/mercator.h Normal file
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@ -0,0 +1,13 @@
#ifndef MERCATOR_H
#define MERCATOR_H
#include "projection.h"
class Mercator : public Projection
{
public:
virtual QPointF ll2xy(const Coordinates &c) const;
virtual Coordinates xy2ll(const QPointF &p) const;
};
#endif // MERCATOR_H

69
src/offlinemap.cpp
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@ -12,10 +12,13 @@
#include "wgs84.h"
#include "coordinates.h"
#include "matrix.h"
#include "mercator.h"
#include "transversemercator.h"
#include "offlinemap.h"
int OfflineMap::parseMapFile(QIODevice &device, QList<ReferencePoint> &points)
int OfflineMap::parseMapFile(QIODevice &device, QList<ReferencePoint> &points,
QString &projection, double params[8])
{
bool res;
int ln = 1;
@ -71,6 +74,15 @@ int OfflineMap::parseMapFile(QIODevice &device, QList<ReferencePoint> &points)
if (!res)
return ln;
_size = QSize(w, h);
} else if (key == "Map Projection") {
projection = list.at(1);
} else if (key == "Projection Setup") {
if (list.count() < 9)
return ln;
for (int i = 1; i < 9; i++) {
params[i-1] = 0;
params[i-1] = list.at(i).trimmed().toFloat(&res);
}
}
}
@ -80,6 +92,22 @@ int OfflineMap::parseMapFile(QIODevice &device, QList<ReferencePoint> &points)
return 0;
}
bool OfflineMap::createProjection(const QString &projection, double params[8])
{
if (projection == "Mercator") {
_projection = new Mercator();
return true;
} else if (projection == "Transverse Mercator") {
_projection = new TransverseMercator(params[1], params[2], params[3],
params[4]);
return true;
}
qWarning("%s: %s: unsupported map projection", qPrintable(_name),
qPrintable(projection));
return false;
}
bool OfflineMap::computeTransformation(const QList<ReferencePoint> &points)
{
if (points.count() < 2) {
@ -94,7 +122,7 @@ bool OfflineMap::computeTransformation(const QList<ReferencePoint> &points)
for (size_t k = 0; k < c.h(); k++) {
for (int i = 0; i < points.size(); i++) {
double f[3], t[2];
QPointF p = points.at(i).second.toMercator();
QPointF p = _projection->ll2xy(points.at(i).second);
f[0] = p.x();
f[1] = p.y();
@ -110,7 +138,7 @@ bool OfflineMap::computeTransformation(const QList<ReferencePoint> &points)
Q.zeroize();
for (int qi = 0; qi < points.size(); qi++) {
double v[3];
QPointF p = points.at(qi).second.toMercator();
QPointF p = _projection->ll2xy(points.at(qi).second);
v[0] = p.x();
v[1] = p.y();
@ -242,8 +270,13 @@ OfflineMap::OfflineMap(const QString &path, QObject *parent) : Map(parent)
{
int errorLine = -2;
QList<ReferencePoint> points;
QString proj;
double params[8];
_valid = false;
_img = 0;
_projection = 0;
QFileInfo fi(path);
_name = fi.fileName();
@ -263,7 +296,7 @@ OfflineMap::OfflineMap(const QString &path, QObject *parent) : Map(parent)
if (tarFiles.at(j).endsWith(".map")) {
QByteArray ba = _tar.file(tarFiles.at(j));
QBuffer buffer(&ba);
errorLine = parseMapFile(buffer, points);
errorLine = parseMapFile(buffer, points, proj, params);
_imgPath = QString();
break;
}
@ -271,13 +304,15 @@ OfflineMap::OfflineMap(const QString &path, QObject *parent) : Map(parent)
break;
} else if (fileName.endsWith(".map")) {
QFile mapFile(mapFiles.at(i).absoluteFilePath());
errorLine = parseMapFile(mapFile, points);
errorLine = parseMapFile(mapFile, points, proj, params);
break;
}
}
if (!mapLoaded(errorLine))
return;
if (!createProjection(proj, params))
return;
if (!computeTransformation(points))
return;
computeResolution(points);
@ -301,7 +336,6 @@ OfflineMap::OfflineMap(const QString &path, QObject *parent) : Map(parent)
}
}
_img = 0;
_valid = true;
}
@ -310,8 +344,13 @@ OfflineMap::OfflineMap(Tar &tar, const QString &path, QObject *parent)
{
int errorLine = -2;
QList<ReferencePoint> points;
QString proj;
double params[8];
_valid = false;
_img = 0;
_projection = 0;
QFileInfo fi(path);
_name = fi.fileName();
@ -323,12 +362,15 @@ OfflineMap::OfflineMap(Tar &tar, const QString &path, QObject *parent)
if (tarFiles.at(j).startsWith(prefix)) {
QByteArray ba = tar.file(tarFiles.at(j));
QBuffer buffer(&ba);
errorLine = parseMapFile(buffer, points);
errorLine = parseMapFile(buffer, points, proj, params);
break;
}
}
if (!mapLoaded(errorLine))
return;
if (!createProjection(proj, params))
return;
if (!totalSizeSet())
return;
if (!computeTransformation(points))
@ -344,10 +386,17 @@ OfflineMap::OfflineMap(Tar &tar, const QString &path, QObject *parent)
}
_imgPath = QString();
_img = 0;
_valid = true;
}
OfflineMap::~OfflineMap()
{
if (_img)
delete _img;
if (_projection)
delete _projection;
}
void OfflineMap::load()
{
if (!_tarPath.isNull() && !_tileSize.isValid()) {
@ -454,10 +503,10 @@ void OfflineMap::draw(QPainter *painter, const QRectF &rect)
QPointF OfflineMap::ll2xy(const Coordinates &c) const
{
return _transform.map(c.toMercator());
return _transform.map(_projection->ll2xy(c));
}
Coordinates OfflineMap::xy2ll(const QPointF &p) const
{
return Coordinates::fromMercator(_transform.inverted().map(p));
return _projection->xy2ll(_transform.inverted().map(p));
}

7
src/offlinemap.h
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@ -8,6 +8,7 @@
class QIODevice;
class QImage;
class Projection;
class OfflineMap : public Map
{
@ -16,6 +17,7 @@ class OfflineMap : public Map
public:
OfflineMap(const QString &path, QObject *parent = 0);
OfflineMap(Tar &tar, const QString &path, QObject *parent = 0);
~OfflineMap();
const QString &name() const {return _name;}
@ -40,9 +42,11 @@ public:
private:
typedef QPair<QPoint, Coordinates> ReferencePoint;
int parseMapFile(QIODevice &device, QList<ReferencePoint> &points);
int parseMapFile(QIODevice &device, QList<ReferencePoint> &points,
QString &projection, double params[8]);
bool mapLoaded(int res);
bool totalSizeSet();
bool createProjection(const QString &projection, double params[8]);
bool computeTransformation(const QList<ReferencePoint> &points);
bool computeResolution(QList<ReferencePoint> &points);
bool getTileInfo(const QStringList &tiles, const QString &path = QString());
@ -50,6 +54,7 @@ private:
QString _name;
QSize _size;
Projection *_projection;
QTransform _transform;
qreal _resolution;

7
src/onlinemap.cpp
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@ -7,6 +7,7 @@
#include "wgs84.h"
#include "misc.h"
#include "coordinates.h"
#include "mercator.h"
#include "onlinemap.h"
@ -173,7 +174,7 @@ qreal OnlineMap::zoomFit(const QSize &size, const QRectF &br)
else {
Coordinates topLeft(br.topLeft());
Coordinates bottomRight(br.bottomRight());
QRectF tbr(topLeft.toMercator(), bottomRight.toMercator());
QRectF tbr(Mercator().ll2xy(topLeft), Mercator().ll2xy(bottomRight));
QPointF sc(tbr.width() / size.width(), tbr.height() / size.height());
@ -234,12 +235,12 @@ void OnlineMap::draw(QPainter *painter, const QRectF &rect)
QPointF OnlineMap::ll2xy(const Coordinates &c) const
{
QPointF m = c.toMercator();
QPointF m = Mercator().ll2xy(c);
return QPointF(m.x() / _scale, m.y() / -_scale);
}
Coordinates OnlineMap::xy2ll(const QPointF &p) const
{
QPointF m(p.x() * _scale, -p.y() * _scale);
return Coordinates::fromMercator(m);
return Mercator().xy2ll(m);
}

15
src/projection.h Normal file
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@ -0,0 +1,15 @@
#ifndef PROJECTION_H
#define PROJECTION_H
#include <QPointF>
#include "coordinates.h"
class Projection {
public:
virtual ~Projection() {}
virtual QPointF ll2xy(const Coordinates &c) const = 0;
virtual Coordinates xy2ll(const QPointF &p) const = 0;
};
#endif // PROJECTION_H

97
src/transversemercator.cpp Normal file
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@ -0,0 +1,97 @@
#include <cmath>
#include "rd.h"
#include "wgs84.h"
#include "transversemercator.h"
TransverseMercator::TransverseMercator(double centralMeridian, double scale,
double falseEasting, double falseNorthing)
{
_centralMeridian = centralMeridian;
_scale = scale;
_falseEasting = falseEasting;
_falseNorthing = falseNorthing;
}
QPointF TransverseMercator::ll2xy(const Coordinates &c) const
{
QPointF p;
const double e2 = WGS84_FLATTENING * (2 - WGS84_FLATTENING);
const double n = WGS84_FLATTENING / (2 - WGS84_FLATTENING);
const double rectifyingRadius = WGS84_RADIUS / (1 + n)
* (1 + 0.25*pow(n, 2) + 0.015625*pow(n, 4));
double A = e2;
double B = (5 * pow(e2, 2) - pow(e2, 3)) / 6.0;
double C = (104 * pow(e2, 3) - 45 * pow(e2, 4)) / 120.0;
double D = (1237 * pow(e2, 4)) / 1260.0;
double phi = deg2rad(c.lat());
double lambda = deg2rad(c.lon());
double lambda0 = deg2rad(_centralMeridian);
double deltaLambda = lambda - lambda0;
double phiStar = phi - sin(phi) * cos(phi) * (A + B*pow(sin(phi), 2)
+ C*pow(sin(phi), 4) + D*pow(sin(phi), 6));
double xiPrim = atan(tan(phiStar) / cos(deltaLambda));
double etaPrim = atanh(cos(phiStar) * sin(deltaLambda));
double beta1 = 1/2.0 * n - 2/3.0 * pow(n, 2) + 5/16.0 * pow(n, 3)
+ 41/180.0 * pow(n, 4);
double beta2 = 13/48.0 * pow(n, 2) - 3/5.0 * pow(n, 3) + 557/1440.0
* pow(n, 4);
double beta3 = 61/240.0 * pow(n, 3) - 103/140.0 * pow(n, 4);
double beta4 = 49561/161280.0 * pow(n, 4);
p.ry() = _falseNorthing + _scale * rectifyingRadius * (xiPrim + beta1
* sin(2*xiPrim) * cosh(2*etaPrim) + beta2 * sin(4*xiPrim)
* cosh(4*etaPrim) + beta3 * sin(6*xiPrim) * cosh(6*etaPrim) + beta4
* sin(8*xiPrim) * cosh(8*etaPrim));
p.rx() = _falseEasting + _scale * rectifyingRadius * (etaPrim + beta1
* cos(2*xiPrim) * sinh(2*etaPrim) + beta2 * cos(4*xiPrim)
* sinh(4*etaPrim) + beta3 * cos(6*xiPrim) * sinh(6*etaPrim) + beta4
* cos(8*xiPrim) * sinh(8*etaPrim));
return p;
}
Coordinates TransverseMercator::xy2ll(const QPointF &p) const
{
const double e2 = WGS84_FLATTENING * (2 - WGS84_FLATTENING);
const double n = WGS84_FLATTENING / (2 - WGS84_FLATTENING);
const double rectifyingRadius = WGS84_RADIUS / (1 + n)
* (1 + 0.25*pow(n, 2) + 0.015625*pow(n, 4));
double xi = (p.y() - _falseNorthing) / (_scale * rectifyingRadius);
double eta = (p.x() - _falseEasting) / (_scale * rectifyingRadius);
double delta1 = 1/2.0 * n - 2/3.0 * pow(n, 2) + 37/96.0 * pow(n, 3)
- 1/360.0 * pow(n, 4);
double delta2 = 1/48.0 * pow(n, 2) + 1/15.0 * pow(n, 3) - 437/1440.0
* pow(n, 4);
double delta3 = 17/480.0 * pow(n, 3) - 37/840.0 * pow(n, 4);
double delta4 = 4397/161280.0 * pow(n, 4);
double xiPrim = xi - delta1 * sin(2*xi) * cosh(2*eta) - delta2 * sin(4*xi)
* cosh(4*eta) - delta3 * sin(6*xi) * cosh(6*eta) - delta4 * sin(8*xi)
* cosh(8*eta);
double etaPrim = eta - delta1 * cos(2*xi) * sinh(2*eta) - delta2 * cos(4*xi)
* sinh(4*eta) - delta3 * cos(6*xi) * sinh(6*eta) - delta4 * cos(8*xi)
* sinh(8*eta);
double phiStar = asin(sin(xiPrim) / cosh(etaPrim));
double deltaLambda = atan(sinh(etaPrim) / cos(xiPrim));
double AStar = e2 + pow(e2, 2) + pow(e2, 3) + pow(e2, 4);
double BStar = (7 * pow(e2, 2) + 17 * pow(e2, 3) + 30 * pow(e2, 4)) / -6;
double CStar = (224 * pow(e2, 3) + 889 * pow(e2, 4)) / 120;
double DStar = (4279 * pow(e2, 4)) / -1260;
double phi = phiStar + sin(phiStar) * cos(phiStar) * (AStar + BStar
* pow(sin(phiStar), 2) + CStar * pow(sin(phiStar), 4) + DStar
* pow(sin(phiStar), 6));
return Coordinates(_centralMeridian + rad2deg(deltaLambda), rad2deg(phi));
}

22
src/transversemercator.h Normal file
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@ -0,0 +1,22 @@
#ifndef TRANSVERSEMERCATOR_H
#define TRANSVERSEMERCATOR_H
#include "projection.h"
class TransverseMercator : public Projection
{
public:
TransverseMercator(double centralMeridian, double scale,
double falseEasting, double falseNorthing);
virtual QPointF ll2xy(const Coordinates &c) const;
virtual Coordinates xy2ll(const QPointF &p) const;
private:
double _centralMeridian;
double _scale;
double _falseEasting;
double _falseNorthing;
};
#endif // TRANSVERSEMERCATOR_H

3
src/wgs84.h
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@ -1,6 +1,7 @@
#ifndef WGS84_H
#define WGS84_H
#define WGS84_RADIUS 6378137.0
#define WGS84_RADIUS 6378137.0
#define WGS84_FLATTENING (1.0/298.257223563)
#endif // WGS84_H