问题描述
书中提高的3rdparty里没有相应的安装文件,需要网上下载,安装Sophus时,要求切换到a621ff分支,但无法切换,可能是因为我的系统是18.04的原因。因此无法完全按照书中方法进行安装。
安装成功后编译过程遇到了很多问题。
首先是,SE3d和SO3d类,需要去掉d,改成SE3和SO3.
其次编译时提示
trajectoryError.cpp:(.text.startup+0x15e): undefined reference toSophus::SE3::SE3(Sophus::SE3 const&)’`
CmakeLists中,需要改成如下, 参考了很多文章才总算通过。
在CmakeLists中添加以下编译指令。
find_package(Sophus REQUIRED)
target_link_libraries( useSophus ${Sophus_LIBRARIES} )#重要,没有这一句会出现找不到库
cmake_minimum_required(VERSION 3.0)
project(useSophus)
set(CMAKE_BUILD_TYPE "Release")
# 为使用 sophus,需要使用find_package命令找到它
find_package(Sophus REQUIRED) #重要,没有这一句会出现找不到库
#set(Sophus_LIBRARIES libSophus.so)
# Eigen
include_directories("/usr/include/eigen3")
include_directories( ${Sophus_INCLUDE_DIRS})
add_executable(useSophus useSophus.cpp)
target_link_libraries( useSophus ${Sophus_LIBRARIES} )
add_subdirectory(example)
example中的CmakeLists.txt需要改成如下:
option(USE_UBUNTU_20 "Set to ON if you are using Ubuntu 20.04" OFF)
find_package(Pangolin REQUIRED)
find_package(Sophus REQUIRED)
if(USE_UBUNTU_20)
message("You are using Ubuntu 20.04, fmt::fmt will be linked")
find_package(fmt REQUIRED)
set(FMT_LIBRARIES fmt::fmt)
endif()
include_directories(${Pangolin_INCLUDE_DIRS})
add_executable(trajectoryError trajectoryError.cpp)
target_link_libraries(trajectoryError ${Pangolin_LIBRARIES} ${FMT_LIBRARIES})
target_link_libraries(trajectoryError ${Sophus_LIBRARIES} ${FMT_LIBRARIES})
附上更改后可以编译通过的代码:
useSophus.cpp
#include <iostream>
#include <cmath>
#include <Eigen/Core>
#include <Eigen/Geometry>
#include "sophus/se3.h"
#include "sophus/so3.h"
using namespace std;
using namespace Eigen;
/// 本程序演示sophus的基本用法
int main(int argc, char **argv) {
// 沿Z轴转90度的旋转矩阵
Matrix3d R = AngleAxisd(M_PI / 2, Vector3d(0, 0, 1)).toRotationMatrix();
// 或者四元数
Quaterniond q(R);
Sophus::SO3 SO3_R(R); // Sophus::SO3d可以直接从旋转矩阵构造
Sophus::SO3 SO3_q(q); // 也可以通过四元数构造
// 二者是等价的
cout << "SO(3) from matrix:\n" << SO3_R.matrix() << endl;
cout << "SO(3) from quaternion:\n" << SO3_q.matrix() << endl;
cout << "they are equal" << endl;
// 使用对数映射获得它的李代数
Vector3d so3 = SO3_R.log();
cout << "so3 = " << so3.transpose() << endl;
// hat 为向量到反对称矩阵
cout << "so3 hat=\n" << Sophus::SO3::hat(so3) << endl;
// 相对的,vee为反对称到向量
cout << "so3 hat vee= " << Sophus::SO3::vee(Sophus::SO3::hat(so3)).transpose() << endl;
// 增量扰动模型的更新
Vector3d update_so3(1e-4, 0, 0); //假设更新量为这么多
Sophus::SO3 SO3_updated = Sophus::SO3::exp(update_so3) * SO3_R;
cout << "SO3 updated = \n" << SO3_updated.matrix() << endl;
cout << "*******************************" << endl;
// 对SE(3)操作大同小异
Vector3d t(1, 0, 0); // 沿X轴平移1
Sophus::SE3 SE3_Rt(R, t); // 从R,t构造SE(3)
Sophus::SE3 SE3_qt(q, t); // 从q,t构造SE(3)
cout << "SE3 from R,t= \n" << SE3_Rt.matrix() << endl;
cout << "SE3 from q,t= \n" << SE3_qt.matrix() << endl;
// 李代数se(3) 是一个六维向量,方便起见先typedef一下
typedef Eigen::Matrix<double, 6, 1> Vector6d;
Vector6d se3 = SE3_Rt.log();
cout << "se3 = " << se3.transpose() << endl;
// 观察输出,会发现在Sophus中,se(3)的平移在前,旋转在后.
// 同样的,有hat和vee两个算符
cout << "se3 hat = \n" << Sophus::SE3::hat(se3) << endl;
cout << "se3 hat vee = " << Sophus::SE3::vee(Sophus::SE3::hat(se3)).transpose() << endl;
// 最后,演示一下更新
Vector6d update_se3; //更新量
update_se3.setZero();
update_se3(0, 0) = 1e-4;
Sophus::SE3 SE3_updated = Sophus::SE3::exp(update_se3) * SE3_Rt;
cout << "SE3 updated = " << endl << SE3_updated.matrix() << endl;
return 0;
}
trajectoryError.txt
#include <iostream>
#include <fstream>
#include <unistd.h>
#include <pangolin/pangolin.h>
#include <sophus/se3.h>
using namespace Sophus;
using namespace std;
string groundtruth_file = "./example/groundtruth.txt";
string estimated_file = "./example/estimated.txt";
typedef vector<Sophus::SE3, Eigen::aligned_allocator<Sophus::SE3>> TrajectoryType;
void DrawTrajectory(const TrajectoryType >, const TrajectoryType &esti);
TrajectoryType ReadTrajectory(const string &path);
int main(int argc, char **argv) {
TrajectoryType groundtruth = ReadTrajectory(groundtruth_file);
TrajectoryType estimated = ReadTrajectory(estimated_file);
assert(!groundtruth.empty() && !estimated.empty());
assert(groundtruth.size() == estimated.size());
// compute rmse
double rmse = 0;
for (size_t i = 0; i < estimated.size(); i++) {
Sophus::SE3 p1 = estimated[i], p2 = groundtruth[i];
double error = (p2.inverse() * p1).log().norm();
rmse += error * error;
}
rmse = rmse / double(estimated.size());
rmse = sqrt(rmse);
cout << "RMSE = " << rmse << endl;
DrawTrajectory(groundtruth, estimated);
return 0;
}
TrajectoryType ReadTrajectory(const string &path) {
ifstream fin(path);
TrajectoryType trajectory;
if (!fin) {
cerr << "trajectory " << path << " not found." << endl;
return trajectory;
}
while (!fin.eof()) {
double time, tx, ty, tz, qx, qy, qz, qw;
fin >> time >> tx >> ty >> tz >> qx >> qy >> qz >> qw;
Sophus::SE3 p1(Eigen::Quaterniond(qw, qx, qy, qz), Eigen::Vector3d(tx, ty, tz));
trajectory.push_back(p1);
}
return trajectory;
}
void DrawTrajectory(const TrajectoryType >, const TrajectoryType &esti) {
// create pangolin window and plot the trajectory
pangolin::CreateWindowAndBind("Trajectory Viewer", 1024, 768);
glEnable(GL_DEPTH_TEST);
glEnable(GL_BLEND);
glBlendFunc(GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA);
pangolin::OpenGlRenderState s_cam(
pangolin::ProjectionMatrix(1024, 768, 500, 500, 512, 389, 0.1, 1000),
pangolin::ModelViewLookAt(0, -0.1, -1.8, 0, 0, 0, 0.0, -1.0, 0.0)
);
pangolin::View &d_cam = pangolin::CreateDisplay()
.SetBounds(0.0, 1.0, pangolin::Attach::Pix(175), 1.0, -1024.0f / 768.0f)
.SetHandler(new pangolin::Handler3D(s_cam));
while (pangolin::ShouldQuit() == false) {
glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT);
d_cam.Activate(s_cam);
glClearColor(1.0f, 1.0f, 1.0f, 1.0f);
glLineWidth(2);
for (size_t i = 0; i < gt.size() - 1; i++) {
glColor3f(0.0f, 0.0f, 1.0f); // blue for ground truth
glBegin(GL_LINES);
auto p1 = gt[i], p2 = gt[i + 1];
glVertex3d(p1.translation()[0], p1.translation()[1], p1.translation()[2]);
glVertex3d(p2.translation()[0], p2.translation()[1], p2.translation()[2]);
glEnd();
}
for (size_t i = 0; i < esti.size() - 1; i++) {
glColor3f(1.0f, 0.0f, 0.0f); // red for estimated
glBegin(GL_LINES);
auto p1 = esti[i], p2 = esti[i + 1];
glVertex3d(p1.translation()[0], p1.translation()[1], p1.translation()[2]);
glVertex3d(p2.translation()[0], p2.translation()[1], p2.translation()[2]);
glEnd();
}
pangolin::FinishFrame();
usleep(5000); // sleep 5 ms
}
}
参考链接:
1、https://blog.csdn.net/qq_40641575/article/details/81006349?utm_medium=distribute.pc_relevant.none-task-blog-2%7Edefault%7EBlogCommendFromMachineLearnPai2%7Edefault-3.control&depth_1-utm_source=distribute.pc_relevant.none-task-blog-2%7Edefault%7EBlogCommendFromMachineLearnPai2%7Edefault-3.control
2、https://blog.csdn.net/qq_33379538/article/details/111170589