8000 Update ModelAligner to handle GPS and custom coords. and more by ferreram · Pull Request #1371 · colmap/colmap · GitHub
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Update ModelAligner to handle GPS and custom coords. and more #1371

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Jan 23, 2022
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72 changes: 72 additions & 0 deletions src/base/gps.cc
8000
Original file line number Diff line number Diff line change
Expand Up @@ -120,4 +120,76 @@ std::vector<Eigen::Vector3d> GPSTransform::XYZToEll(
return ell;
}

std::vector<Eigen::Vector3d> GPSTransform::EllToENU(
const std::vector<Eigen::Vector3d>& ell, const double lat0,
const double lon0) const {
// Convert GPS (lat / lon / alt) to ECEF
std::vector<Eigen::Vector3d> xyz = EllToXYZ(ell);

return XYZToENU(xyz, lat0, lon0);
}

std::vector<Eigen::Vector3d> GPSTransform::XYZToENU(
const std::vector<Eigen::Vector3d>& xyz, const double lat0,
const double lon0) const {
std::vector<Eigen::Vector3d> enu(xyz.size());

// https://en.wikipedia.org/wiki/Geographic_coordinate_conversion#From_ECEF_to_ENU

// ECEF to ENU Rot :
const double cos_lat0 = std::cos(DegToRad(lat0));
const double sin_lat0 = std::sin(DegToRad(lat0));

const double cos_lon0 = std::cos(DegToRad(lon0));
const double sin_lon0 = std::sin(DegToRad(lon0));

Eigen::Matrix3d R;
R << -sin_lon0, cos_lon0, 0., -sin_lat0 * cos_lon0, -sin_lat0 * sin_lon0,
cos_lat0, cos_lat0 * cos_lon0, cos_lat0 * sin_lon0, sin_lat0;

// Convert ECEF to ENU coords. (w.r.t. ECEF ref == xyz[0])
for (size_t i = 0; i < xyz.size(); ++i) {
enu[i] = R * (xyz[i] - xyz[0]);
}

return enu;
}

std::vector<Eigen::Vector3d> GPSTransform::ENUToEll(
const std::vector<Eigen::Vector3d>& enu, const double lat0,
const double lon0, const double alt0) const {
return XYZToEll(ENUToXYZ(enu, lat0, lon0, alt0));
}

std::vector<Eigen::Vector3d> GPSTransform::ENUToXYZ(
const std::vector<Eigen::Vector3d>& enu, const double lat0,
const double lon0, const double alt0) const {
std::vector<Eigen::Vector3d> xyz(enu.size());

// ECEF ref (origin)
const Eigen::Vector3d xyz_ref =
EllToXYZ({Eigen::Vector3d(lat0, lon0, alt0)})[0];

// ENU to ECEF Rot :
const double cos_lat0 = std::cos(DegToRad(lat0));
const double sin_lat0 = std::sin(DegToRad(lat0));

const double cos_lon0 = std::cos(DegToRad(lon0));
const double sin_lon0 = std::sin(DegToRad(lon0));

Eigen::Matrix3d R;
R << -sin_lon0, cos_lon0, 0., -sin_lat0 * cos_lon0, -sin_lat0 * sin_lon0,
cos_lat0, cos_lat0 * cos_lon0, cos_lat0 * sin_lon0, sin_lat0;

// R is ECEF to ENU so Transpose to get inverse
R.transposeInPlace();

// Convert ENU to ECEF coords.
for (size_t i = 0; i < enu.size(); ++i) {
xyz[i] = (R * enu[i]) + xyz_ref;
}

return xyz;
}

} // namespace colmap
18 changes: 18 additions & 0 deletions src/base/gps.h
Original file line number Diff line number Diff line change
Expand Up @@ -55,6 +55,24 @@ class GPSTransform {
std::vector<Eigen::Vector3d> XYZToEll(
const std::vector<Eigen::Vector3d>& xyz) const;

// Convert GPS (lat / lon / alt) to ENU coords. with lat0 and lon0
// defining the origin of the ENU frame
std::vector<Eigen::Vector3d> EllToENU(const std::vector<Eigen::Vector3d>& ell,
const double lat0,
const double lon0) const;

std::vector<Eigen::Vector3d> XYZToENU(const std::vector<Eigen::Vector3d>& xyz,
const double lat0,
const double lon0) const;
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Seems like this should be a private method?

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I don't really know here. It's not used yet anywhere else yet but might become handy for later use / applications? Also this will give me some troubles for the test functions ^^


std::vector<Eigen::Vector3d> ENUToEll(const std::vector<Eigen::Vector3d>& enu,
const double lat0, const double lon0,
const double alt0) const;

std::vector<Eigen::Vector3d> ENUToXYZ(const std::vector<Eigen::Vector3d>& enu,
const double lat0, const double lon0,
const double alt0) const;

private:
// Semimajor axis.
double a_;
Expand Down
146 changes: 128 additions & 18 deletions src/base/gps_test.cc
1E79
Original file line number Diff line number Diff line change
Expand Up @@ -53,9 +53,7 @@ BOOST_AUTO_TEST_CASE(TestEllToXYZGRS80) {
const auto xyz = gps_tform.EllToXYZ(ell);

for (size_t i = 0; i < ell.size(); ++i) {
BOOST_CHECK(std::abs(xyz[i](0) - ref_xyz[i](0)) < 1e-8);
BOOST_CHECK(std::abs(xyz[i](1) - ref_xyz[i](1)) < 1e-8);
BOOST_CHECK(std::abs(xyz[i](2) - ref_xyz[i](2)) < 1e-8);
BOOST_CHECK(xyz[i].isApprox(ref_xyz[i], 1e-8));
}
}

Expand All @@ -76,9 +74,7 @@ BOOST_AUTO_TEST_CASE(TestEllToXYZWGS84) {
const auto xyz = gps_tform.EllToXYZ(ell);

for (size_t i = 0; i < ell.size(); ++i) {
BOOST_CHECK(std::abs(xyz[i](0) - ref_xyz[i](0)) < 1e-8);
BOOST_CHECK(std::abs(xyz[i](1) - ref_xyz[i](1)) < 1e-8);
BOOST_CHECK(std::abs(xyz[i](2) - ref_xyz[i](2)) < 1e-8);
BOOST_CHECK(xyz[i].isApprox(ref_xyz[i], 1e-8));
}
}

Expand All @@ -99,9 +95,7 @@ BOOST_AUTO_TEST_CASE(TestXYZToEll_GRS80) {
const auto ell = gps_tform.XYZToEll(xyz);

for (size_t i = 0; i < xyz.size(); ++i) {
BOOST_CHECK(std::abs(ell[i](0) - ref_ell[i](0)) < 1e-5);
BOOST_CHECK(std::abs(ell[i](1) - ref_ell[i](1)) < 1e-5);
BOOST_CHECK(std::abs(ell[i](2) - ref_ell[i](2)) < 1e-5);
BOOST_CHECK(ell[i].isApprox(ref_ell[i], 1e-5));
}
}

Expand All @@ -122,9 +116,7 @@ BOOST_AUTO_TEST_CASE(TestXYZToEll_WGS84) {
const auto ell = gps_tform.XYZToEll(xyz);

for (size_t i = 0; i < xyz.size(); ++i) {
BOOST_CHECK(std::abs(ell[i](0) - ref_ell[i](0)) < 1e-5);
BOOST_CHECK(std::abs(ell[i](1) - ref_ell[i](1)) < 1e-5);
BOOST_CHECK(std::abs(ell[i](2) - ref_ell[i](2)) < 1e-5);
BOOST_CHECK(ell[i].isApprox(ref_ell[i], 1e-5));
}
}

Expand All @@ -141,9 +133,7 @@ BOOST_AUTO_TEST_CASE(TestXYZToEllToXYZ_GRS80) {
const auto xyz2 = gps_tform.EllToXYZ(ell);

for (size_t i = 0; i < xyz.size(); ++i) {
BOOST_CHECK(std::abs(xyz[i](0) - xyz2[i](0)) < 1e-5);
BOOST_CHECK(std::abs(xyz[i](1) - xyz2[i](1)) < 1e-5);
BOOST_CHECK(std::abs(xyz[i](2) - xyz2[i](2)) < 1e-5);
BOOST_CHECK(xyz[i].isApprox(xyz2[i], 1e-5));
}
}

Expand All @@ -160,8 +150,128 @@ BOOST_AUTO_TEST_CASE(TestXYZToEllToXYZ_WGS84) {
const auto xyz2 = gps_tform.EllToXYZ(ell);

for (size_t i = 0; i < xyz.size(); ++i) {
BOOST_CHECK(std::abs(xyz[i](0) - xyz2[i](0)) < 1e-5);
BOOST_CHECK(std::abs(xyz[i](1) - xyz2[i](1)) < 1e-5);
BOOST_CHECK(std::abs(xyz[i](2) - xyz2[i](2)) < 1e-5);
BOOST_CHECK(xyz[i].isApprox(xyz2[i], 1e-5));
}
}

BOOST_AUTO_TEST_CASE(TestEllToENUWGS84) {
std::vector<Eigen::Vector3d> ell;
ell.emplace_back(48 + 8. / 60 + 51.70361 / 3600,
11 + 34. / 60 + 10.51777 / 3600, 561.1851);
ell.emplace_back(48 + 8. / 60 + 52.40575 / 3600,
11 + 34. / 60 + 11.77179 / 3600, 561.1509);
std::vector<Eigen::Vector3d> ref_xyz;
ref_xyz.emplace_back(4.177239709042750e6, 0.855153779923415e6,
4.728267404769168e6);
ref_xyz.emplace_back(4.177218660452103e6, 0.855175931344048e6,
4.728281850382507e6);

GPSTransform gps_tform(GPSTransform::WGS84);

// Get lat0, lon0 origin from ref
const auto ori_ell = gps_tform.XYZToEll({ref_xyz[0]})[0];

// Get ENU ref from ECEF ref
const auto ref_enu = gps_tform.XYZToENU(ref_xyz, ori_ell(0), ori_ell(1));

// Get ENU from Ell
const auto enu = gps_tform.EllToENU(ell, ori_ell(0), ori_ell(1));

for (size_t i = 0; i < ell.size(); ++i) {
BOOST_CHECK(enu[i].isApprox(ref_enu[i], 1e-8));
}
}

BOOST_AUTO_TEST_CASE(TestXYZToENU) {
std::vector<Eigen::Vector3d> ell;
ell.emplace_back(48 + 8. / 60 + 51.70361 / 3600,
11 + 34. / 60 + 10.51777 / 3600, 561.1851);
ell.emplace_back(48 + 8. / 60 + 52.40575 / 3600,
11 + 34. / 60 + 11.77179 / 3600, 561.1509);
std::vector<Eigen::Vector3d> ref_xyz;
ref_xyz.emplace_back(4.177239709042750e6, 0.855153779923415e6,
4.728267404769168e6);
ref_xyz.emplace_back(4.177218660452103e6, 0.855175931344048e6,
4.728281850382507e6);

GPSTransform gps_tform(GPSTransform::WGS84);

const auto xyz = gps_tform.EllToXYZ(ell);

// Get lat0, lon0 origin from ref
const auto ori_ell = gps_tform.XYZToEll({ref_xyz[0]})[0];

// Get ENU from ECEF ref
const auto ref_enu = gps_tform.XYZToENU(ref_xyz, ori_ell(0), ori_ell(1));

// Get ENU from ECEF
const auto enu = gps_tform.XYZToENU(xyz, ori_ell(0), ori_ell(1));

for (size_t i = 0; i < ell.size(); ++i) {
BOOST_CHECK(enu[i].isApprox(ref_enu[i], 1e-8));
}
}

BOOST_AUTO_TEST_CASE(TestENUToEllWGS84) {
std::vector<Eigen::Vector3d> ref_ell;
ref_ell.emplace_back(48 + 8. / 60 + 51.70361 / 3600,
11 + 34. / 60 + 10.51777 / 3600, 561.1851);
ref_ell.emplace_back(48 + 8. / 60 + 52.40575 / 3600,
11 + 34. / 60 + 11.77179 / 3600, 561.1509);

std::vector<Eigen::Vector3d> xyz;
xyz.emplace_back(4.177239709042750e6, 0.855153779923415e6,
4.728267404769168e6);
xyz.emplace_back(4.177218660452103e6, 0.855175931344048e6,
4.728281850382507e6);

GPSTransform gps_tform(GPSTransform::WGS84);

// Get lat0, lon0 origin from ref
const auto ori_ell = gps_tform.XYZToEll(xyz);
const double lat0 = ori_ell[0](0);
const double lon0 = ori_ell[0](1);
const double alt0 = ori_ell[0](2);

// Get ENU from ECEF
const auto enu = gps_tform.XYZToENU(xyz, lat0, lon0);

const auto xyz_enu = gps_tform.ENUToXYZ(enu, lat0, lon0, alt0);

// Get Ell from ENU
const auto ell = gps_tform.ENUToEll(enu, lat0, lon0, alt0);

for (size_t i = 0; i < ell.size(); ++i) {
BOOST_CHECK(ell[i].isApprox(ref_ell[i], 1e-5));
}
}

BOOST_AUTO_TEST_CASE(TestENUToXYZ) {
std::vector<Eigen::Vector3d> ell;
ell.emplace_back(48 + 8. / 60 + 51.70361 / 3600,
11 + 34. / 60 + 10.51777 / 3600, 561.1851);
ell.emplace_back(48 + 8. / 60 + 52.40575 / 3600,
11 + 34. / 60 + 11.77179 / 3600, 561.1509);
std::vector<Eigen::Vector3d> ref_xyz;
ref_xyz.emplace_back(4.177239709042750e6, 0.855153779923415e6,
4.728267404769168e6);
ref_xyz.emplace_back(4.177218660452103e6, 0.855175931344048e6,
4.728281850382507e6);

GPSTransform gps_tform(GPSTransform::WGS84);

// Get lat0, lon0 origin from Ell
const double lat0 = ell[0](0);
const double lon0 = ell[0](1);
const double alt0 = ell[0](2);

// Get ENU from Ell
const auto enu = gps_tform.EllToENU(ell, lat0, lon0);

// Get XYZ from ENU
const auto xyz = gps_tform.ENUToXYZ(enu, lat0, lon0, alt0);

for (size_t i = 0; i < ell.size(); ++i) {
BOOST_CHECK(xyz[i].isApprox(ref_xyz[i], 1e-8));
}
}
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