Efficient and parallel algorithms for point cloud registration [C++, Python]
small_gicp
smallgicp is a header-only C++ library providing efficient and parallelized algorithms for fine point cloud registration (ICP, Point-to-Plane ICP, GICP, VGICP, etc.). It is a refined and optimized version of its predecessor, fastgicp, re-written from scratch with the following features.
- Highly Optimized : The core registration algorithm implementation has been further optimized from fast_gicp, achieving up to 2x speed gain.
- Fully parallerized : smallgicp offers parallel implementations of several preprocessing algorithms, making the entire registration process parallelized (e.g., Downsampling, KdTree construction, Normal/Covariance estimation). It supports OpenMP and Intel TBB as parallelism backends.
- Minimum dependencies : The library requires only Eigen along with the bundled nanoflann and Sophus. Optionally, it supports a PCL registration interface for use as a drop-in replacement
- Customizable : small_gicp allows the integration of any custom point cloud class into the registration algorithm via traits. Its template-based implementation enables customization of the registration process with original correspondence estimators and registration factors.
- Python bindings : By being isolated from PCL, small_gicp's Python bindings are more portable and can be used seamlessly with other libraries such as Open3D.
If you find this package useful for your project, please consider leaving a comment here. It would help the author receive recognition in his organization and keep working on this project. Please also cite the corresponding software paper if you use this software in an academic work.
Requirements
This library uses C++17 features. The PCL interface is not compatible with PCL older than 1.11 that uses boost::shared_ptr.
Dependencies
Installation
C++
small_gicp is a header-only library. You can just download and drop it in your project directory to use it.
If you need only basic point cloud registration functions, you can build and install the helper library as follows.
sudo apt-get install libeigen3-dev libomp-dev
cd small_gicp mkdir build && cd build cmake .. -DCMAKEBUILDTYPE=Release && make -j sudo make install
Python (Linux / Windows / MacOS)
Install from PyPI
pip install small_gicp
Install from source
cd small_gicp
pip install .
[Optional (linux)] Install stubs for autocomplete (If you know a better way, let me know...)
pip install pybind11-stubgen
cd ~/.local/lib/python3.10/site-packages
pybind11-stubgen -o . --ignore-invalid=all small_gicp
Documentation
Usage (C++)
The following examples assume using namespace small_gicp is placed somewhere.
Using helper library (01basicregistration.cpp)
The helper library (registration_helper.hpp) enables easily processing point clouds represented as std::vector<Eigen::Vector(3|4)(f|d)>. Expand
smallgicp::align takes two point clouds (std::vectors of Eigen::Vector(3|4)(f|d)) and returns a registration result (estimated transformation and some information on the optimization result). This is the easiest way to use smallgicp but causes an overhead for duplicated preprocessing.
#include <smallgicp/registration/registrationhelper.hpp>
std::vector<Eigen::Vector3d> target_points = ...; // Any of Eigen::Vector(3|4)(f|d) can be used std::vector<Eigen::Vector3d> source_points = ...; //
RegistrationSetting setting; setting.num_threads = 4; // Number of threads to be used setting.downsampling_resolution = 0.25; // Downsampling resolution setting.maxcorrespondencedistance = 1.0; // Maximum correspondence distance between points (e.g., triming threshold)
Eigen::Isometry3d initTtarget_source = Eigen::Isometry3d::Identity(); RegistrationResult result = align(targetpoints, sourcepoints, initTtarget_source, setting);
Eigen::Isometry3d T = result.Ttargetsource; // Estimated transformation sizet numinliers = result.num_inliers; // Number of inlier source points Eigen::Matrix<double, 6, 6> H = result.H; // Final Hessian matrix (6x6)
There is also a way to perform preprocessing and registration separately. This enables saving time for preprocessing in case registration is performed several times for the same point cloud (e.g., typical odometry estimation based on scan-to-scan matching).
#include <smallgicp/registration/registrationhelper.hpp>
std::vector<Eigen::Vector3d> target_points = ...; // Any of Eigen::Vector(3|4)(f|d) can be used std::vector<Eigen::Vector3d> source_points = ...; //
int num_threads = 4; // Number of threads to be used double downsampling_resolution = 0.25; // Downsampling resolution int num_neighbors = 10; // Number of neighbor points used for normal and covariance estimation
// std::pair<PointCloud::Ptr, KdTree<PointCloud>::Ptr> auto [target, targettree] = preprocesspoints(targetpoints, downsamplingresolution, numneighbors, numthreads); auto [source, sourcetree] = preprocesspoints(sourcepoints, downsamplingresolution, numneighbors, numthreads);
RegistrationSetting setting; setting.numthreads = numthreads; setting.maxcorrespondencedistance = 1.0; // Maximum correspondence distance between points (e.g., triming threshold)
Eigen::Isometry3d initTtarget_source = Eigen::Isometry3d::Identity(); RegistrationResult result = align(target, source, *targettree, initTtargetsource, setting);
Eigen::Isometry3d T = result.Ttargetsource; // Estimated transformation sizet numinliers = result.num_inliers; // Number of inlier source points Eigen::Matrix<double, 6, 6> H = result.H; // Final Hessian matrix (6x6)
Using PCL interface (02basicregistrationpcl.cpp)
The PCL interface allows using smallgicp as a drop-in replacement for pcl::Registration. It is also possible to directly feed pcl::PointCloud to algorithms implemented in smallgicp.
Expand
#include <smallgicp/pcl/pclregistration.hpp>
pcl::PointCloud<pcl::PointXYZ>::Ptr raw_target = ...; pcl::PointCloud<pcl::PointXYZ>::Ptr raw_source = ...;
// smallgicp::voxelgriddownsampling can directly operate on pcl::PointCloud. pcl::PointCloud<pcl::PointXYZ>::Ptr target = voxelgridsamplingomp(*raw_target, 0.25); pcl::PointCloud<pcl::PointXYZ>::Ptr source = voxelgridsamplingomp(*raw_source, 0.25);
// RegistrationPCL is derived from pcl::Registration and has mostly the same interface as pcl::GeneralizedIterativeClosestPoint. RegistrationPCL<pcl::PointXYZ, pcl::PointXYZ> reg; reg.setNumThreads(4); reg.setCorrespondenceRandomness(20); reg.setMaxCorrespondenceDistance(1.0); reg.setVoxelResolution(1.0); reg.setRegistrationType("VGICP"); // or "GICP" (default = "GICP")
// Set input point clouds. reg.setInputTarget(target); reg.setInputSource(source);
// Align point clouds. auto aligned = pcl::make_shared<pcl::PointCloud<pcl::PointXYZ>>(); reg.align(*aligned);
// Swap source and target and align again. // This is useful when you want to re-use preprocessed point clouds for successive registrations (e.g., odometry estimation). reg.swapSourceAndTarget(); reg.align(*aligned);
It is also possible to directly feed pcl::PointCloud to small_gicp::Registration. Because all preprocessed data are exposed in this way, you can easily re-use them to obtain the best efficiency.
#include <smallgicp/pcl/pclpoint.hpp>
#include <smallgicp/pcl/pclpoint_traits.hpp>
pcl::PointCloud<pcl::PointXYZ>::Ptr raw_target = ...; pcl::PointCloud<pcl::PointXYZ>::Ptr raw_source = ...;
// Downsample points and convert them into pcl::PointCloud<pcl::PointCovariance>. pcl::PointCloud<pcl::PointCovariance>::Ptr target = voxelgridsamplingomp<pcl::PointCloud<pcl::PointXYZ>, pcl::PointCloud<pcl::PointCovariance>>(*raw_target, 0.25); pcl::PointCloud<pcl::PointCovariance>::Ptr source = voxelgridsamplingomp<pcl::PointCloud<pcl::PointXYZ>, pcl::PointCloud<pcl::PointCovariance>>(*raw_source, 0.25);
// Estimate covariances of points. const int num_threads = 4; const int num_neighbors = 20; estimatecovariancesomp(*target, numneighbors, numthreads); estimatecovariancesomp(*source, numneighbors, numthreads);
// Create KdTree for target and source. auto targettree = std::makeshared<KdTree<pcl::PointCloud<pcl::PointCovariance>>>(target, KdTreeBuilderOMP(num_threads)); auto sourcetree = std::makeshared<KdTree<pcl::PointCloud<pcl::PointCovariance>>>(source, KdTreeBuilderOMP(num_threads));
Registration<GICPFactor, ParallelReductionOMP> registration; registration.reduction.numthreads = numthreads; registration.rejector.maxdistsq = 1.0;
// Align point clouds. Note that the input point clouds are pcl::PointCloud<pcl::PointCovariance>. auto result = registration.align(target, source, *target_tree, Eigen::Isometry3d::Identity());
Using Registration template (03registrationtemplate.cpp)
If you want to fine-control and customize the registration process, use small_gicp::Registration template that allows modifying the inner algorithms and parameters. Expand
#include <smallgicp/ann/kdtreeomp.hpp>
#include <smallgicp/points/pointcloud.hpp>
#include <smallgicp/factors/gicpfactor.hpp>
#include <smallgicp/util/normalestimation_omp.hpp>
#include <smallgicp/registration/reductionomp.hpp>
#include <small_gicp/registration/registration.hpp>
std::vector<Eigen::Vector3d> target_points = ...; // Any of Eigen::Vector(3|4)(f|d) can be used std::vector<Eigen::Vector3d> source_points = ...; //
int num_threads = 4; double downsampling_resolution = 0.25; int num_neighbors = 10; double maxcorrespondencedistance = 1.0;
// Convert to small_gicp::PointCloud auto target = std::makeshared<PointCloud>(targetpoints); auto source = std::makeshared<PointCloud>(sourcepoints);
// Downsampling target = voxelgridsamplingomp(*target, downsamplingresolution, numthreads); source = voxelgridsamplingomp(*source, downsamplingresolution, numthreads);
// Create KdTree auto targettree = std::makeshared<KdTree<PointCloud>>(target, KdTreeBuilderOMP(num_threads)); auto sourcetree = std::makeshared<KdTree<PointCloud>>(source, KdTreeBuilderOMP(num_threads));
// Estimate point covariances estimatecovariancesomp(target, targettree, numneighbors, num_threads); estimatecovariancesomp(source, sourcetree, numneighbors, num_threads);
// GICP + OMP-based parallel reduction Registration<GICPFactor, ParallelReductionOMP> registration; registration.reduction.numthreads = numthreads; registration.rejector.maxdistsq = maxcorrespondencedistance * maxcorrespondencedistance;
// Align point clouds Eigen::Isometry3d initTtarget_source = Eigen::Isometry3d::Identity(); auto result = registration.align(target, source, *targettree, initTtargetsource);
Eigen::Isometry3d T = result.Ttargetsource; // Estimated transformation sizet numinliers = result.num_inliers; // Number of inlier source points Eigen::Matrix<double, 6, 6> H = result.H; // Final Hessian matrix (6x6)
See 03registrationtemplate.cpp for more detailed customization examples.
Cookbook
- Standard scan-to-scan GICP matching odometry
- Extremely scalable scan-to-scan matching odometry with data flow graph
- Scan-to-model matching odometry with incremental voxelmap (GICP + iVox)
- Scan-to-model matching odometry with incremental Gaussian voxelmap (VGICP)
Usage (Python) basicregistration.py
Expand
Example A : Perform registration with numpy arrays
# Align two point clouds using various ICP-like algorithms.
#
Parameters
----------
target_points : NDArray[np.float64]
Nx3 or Nx4 matrix representing the target point cloud.
source_points : NDArray[np.float64]
Nx3 or Nx4 matrix representing the source point cloud.
initTtarget_source : np.ndarray[np.float64]
4x4 matrix representing the initial transformation from target to source.
registration_type : str = 'GICP'
Type of registration algorithm to use ('ICP', 'PLANE_ICP', 'GICP', 'VGICP').
voxel_resolution : float = 1.0
Resolution of voxels used for correspondence search (used only in VGICP).
downsampling_resolution : float = 0.25
Resolution for downsampling the point clouds.
maxcorrespondencedistance : float = 1.0
Maximum distance for matching points between point clouds.
num_threads : int = 1
Number of threads to use for parallel processing.
#
Returns
-------
RegistrationResult
Object containing the final transformation matrix and convergence status.
result = smallgicp.align(targetrawnumpy, sourcerawnumpy, downsamplingresolution=0.25)
result.Ttargetsource # Estimated transformation (4x4 numpy array) result.converged # If true, the optimization converged successfully result.iterations # Number of iterations the optimization took result.num_inliers # Number of inlier points result.H # Final Hessian matrix (6x6 matrix) result.b # Final information vector (6D vector) result.e # Final error (float)
Example B : Perform preprocessing and registration separately
# Preprocess point cloud (downsampling, kdtree construction, and normal/covariance estimation)
#
Parameters
----------
points : NDArray[np.float64]
Nx3 or Nx4 matrix representing the point cloud.
downsampling_resolution : float = 0.1
Resolution for downsampling the point clouds.
num_neighbors : int = 20
Number of neighbor points to usefor point normal/covariance estimation.
num_threads : int = 1
Number of threads to use for parallel processing.
#
Returns
-------
PointCloud
Downsampled point cloud with estimated normals and covariances.
KdTree
KdTree for the downsampled point cloud
target, targettree = smallgicp.preprocesspoints(targetrawnumpy, downsamplingresolution=0.25)
source, sourcetree = smallgicp.preprocesspoints(sourcerawnumpy, downsamplingresolution=0.25)
target and source are small_gicp.PointCloud with the following methods
target.size() # Number of points
target.points() # Nx4 numpy array [x, y, z, 1] x N
target.normals() # Nx4 numpy array [nx, ny, nz, 0] x N
target.covs() # Array of 4x4 covariance matrices
Align two point clouds using specified ICP-like algorithms, utilizing point cloud and KD-tree inputs.
#
Parameters
----------
target : PointCloud::ConstPtr
Pointer to the target point cloud.
source : PointCloud::ConstPtr
Pointer to the source point cloud.
target_tree : KdTree<PointCloud>::ConstPtr, optional
Pointer to the KD-tree of the target for nearest neighbor search. If nullptr, a new tree is built.
initTtarget_source : NDArray[np.float64]
4x4 matrix representing the initial transformation from target to source.
registration_type : str = 'GICP'
Type of registration algorithm to use ('ICP', 'PLANE_ICP', 'GICP').
maxcorrespondencedistance : float = 1.0
Maximum distance for corresponding point pairs.
num_threads : int = 1
Number of threads to use for computation.
#
Returns
-------
RegistrationResult
Object containing the final transformation matrix and convergence status.
result = smallgicp.align(target, source, targettree)
Example C : Perform each of preprocessing steps one-by-one
# Convert numpy arrays (Nx3 or Nx4) to small_gicp.PointCloud
targetraw = smallgicp.PointCloud(targetrawnumpy)
sourceraw = smallgicp.PointCloud(sourcerawnumpy)
Downsampling
target = smallgicp.voxelgridsampling(target_raw, 0.25)
source = smallgicp.voxelgridsampling(source_raw, 0.25)
KdTree construction
targettree = smallgicp.KdTree(target)
sourcetree = smallgicp.KdTree(source)
Estimate covariances
smallgicp.estimatecovariances(target, target_tree)
smallgicp.estimatecovariances(source, source_tree)
Align point clouds
result = smallgicp.align(target, source, targettree)
Example D: Example with Open3D
targeto3d = open3d.io.readpointcloud('smallgicp/data/target.ply').paintuniformcolor([0, 1, 0])
sourceo3d = open3d.io.readpointcloud('smallgicp/data/source.ply').paintuniformcolor([0, 0, 1])
target, targettree = smallgicp.preprocesspoints(numpy.asarray(targeto3d.points), downsampling_resolution=0.25) source, sourcetree = smallgicp.preprocesspoints(numpy.asarray(sourceo3d.points), downsampling_resolution=0.25) result = smallgicp.align(target, source, targettree)
sourceo3d.transform(result.Ttarget_source) open3d.visualization.drawgeometries([targeto3d, source_o3d])
Cookbook
Running examples
C++
cd small_gicp
mkdir build && cd build
cmake .. -DBUILD_EXAMPLES=ON && make -j
cd .. ./build/01basicregistration ./build/02basicregistration_pcl ./build/03registrationtemplate
Python
cd small_gicp
pip install .
python3 src/example/basic_registration.py
Benchmark
Processing speed comparison between smallgicp and Open3D (youtube).
Downsampling
- Single-threaded
smallgicp::voxelgridsamplingis about 1.3x faster thanpcl::VoxelGrid. - Multi-threaded
smallgicp::voxelgridsampling_tbb(6 threads) is about 3.2x faster thanpcl::VoxelGrid. smallgicp::voxelgridsamplingprovides accurate downsampling results that are nearly identical to those ofpcl::VoxelGrid, whilepcl::ApproximateVoxelGridcan produce spurious points (up to 2x more points).smallgicp::voxelgridsamplingcan handle larger point clouds with finer voxel resolutions compared topcl::VoxelGrid. For a point cloud with a width of 1000m, the minimum voxel resolution can be 0.5 mm.
KdTree construction
- Multi-threaded implementation (TBB and OMP) can be up to 6x faster than the single-threaded version. The single-thread version performs almost equivalently to nanoflann.
- The new KdTree implementation demonstrates good scalability due to its well-balanced task assignment.
- This benchmark compares only the construction time (query time is not included). Nearest neighbor queries are included and evaluated in the following odometry estimation evaluation.
Odometry estimation
- Single-thread
smallgicp::GICPis about 2.4x and 1.9x faster thanpcl::GICPandfastgicp::GICP, respectively. smallgicp::(GICP|VGICP)demonstrates better multi-threaded scalability compared tofastgicp::(GICP|VGICP).smallgicp::GICPparallelized with TBB flow graph shows excellent scalability in many-threads scenarios (~128 threads), though with some latency degradation.- Outputs of
smallgicp::GICPare almost identical to those offastgicp::GICP.
License
This package is released under the MIT license.If you find this package useful for your project, please consider leaving a comment here. It would help the author receive recognition in his organization and keep working on this project.
Please also cite the following article if you use this software in an academic work.
@article{small_gicp,
author = {Kenji Koide},
title = {{small\_gicp: Efficient and parallel algorithms for point cloud registration}},
journal = {Journal of Open Source Software},
month = aug,
number = {100},
pages = {6948},
volume = {9},
year = {2024},
doi = {10.21105/joss.06948}
}
Contact
Kenji Koide, National Institute of Advanced Industrial Science and Technology (AIST)