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OriNet - Computations for rigid body orientation network

Introduction

MIT License

The OriNet (Orientation Network) package offers capabilities for working with a network of rigid bodies. A quintesential use case is representing the relationship between various 3D coordinate systems via rigid body transformations.

Example use cases include determination of survey station setups relative to an existing reference system, representation of a camera location relative to a scene, positions of an autonomous vehicle, and so on.

Source Code

OriNet is an open source software project provided under the liberal MIT license that provides for varied uses including commercial ones.

The code implementation is in C++20. The 20 standard is required by the graaflib dependency (used for implementation within networkGeometry.hpp). The remainder of the OriNet code is compilable with C++17 or later.

Theory Overview

A rigid body transformation involves displacement and rotation (but not scale nor deformation). In 3D Euclidean space, the rigid body transformation may be specified by a 3D offset vector, and a 3D bivector that describes the attitude. Together, the translation and attitude are herein called orientation (aka pose).

This OriNet package provides capabilities associated with a collection of multiple rigid body orientations (e.g. coordinate frames over different objets and/or over time). Each such orientation item is herein called a "station orientation". Each station may be associated with an abstract coordinate frame or a physical object.

Arbitrary pairs of station orientations are connected by rigid body transformations which herein are called "relative orientations". A collection of an arbitrary number of stations along with an arbitrary number of pairwise orientations connecting them is herein called a "network".

The network (comprised of station orientations and relative orientations) can be conceptualized as a graph data structure (a computer science data structure) which comprises an arbitrary number of "nodes" that are arbitrarily linked to each other with "edges". In this model, each node is associated with a geometric station orientation, and each edge is associated with a relative orientation. Both orientation types (station and relative) are represented by rigid body transformations.

Use of such an orentation network is common in many engineering applications such as 3D parametric modeling, surveying, photogrammetry and computer vision, robot navigation and so on. These applications involve measuring or computing relative orientation relationships between stations and then using those relative orientation relationships to build a cohesive model of the individual station orientations for every station in the network. (The vnv/SimNetwork.cpp program provides a simulation example of this use case).

General Capabilities

OriNet provides several particular capabilities. These include:

  • Determination of robust orientations from collections of noisy orientation measurements. For example a total station setup may involve making backsight measurements to multiple reference points and it is desirable to predict nominal station orientation

  • Compute station orientations for every station in the network given relative orientation data between pairs of stations. (i.e. propagation pairwise relative orientations, and one station orientation starting value in order to obtain a full network of station orientation)

Demonstration Programs

Validation programs are avialable in the 'vnv' subdirectory and are structured as an independent CMake project. Ref vnv/README.md file

Demonstration programs are available in the demo/ subdirectory and described in the demo/README.md file

Project Organization

The project has a fairly standard directory organization including: OriNet implementation is primarily via header files in ./include/OriNet directory. The ./src/ directory contains definitions for library functions. Various other directories provide support/demonstration content.

Library components

  • ./include/OriNet/ - directory with header files

  • ./src/ - directory with definition code for library modules

Project Infrastructure

  • ./test/ - unit test programs

  • ./demo/ - demonstration/example and development utility programs[

  • ./vnv/ - verification and validation example programs to demonstrate use of OriNet in an independently build project.

  • ./cmake/ - CMake source code functions and include code

Supporting Information

  • ./theory/ - directory for documents describing theory

  • ./doc/ - files for creating documentation with doxygen

Software Components (Namespaces)

  • Main project

The OriNet code is structured into several modular units. Each of these units has it's own subnamespace

Main project capabilities

  • orinet::network - functions for creating and processing orientation network data.

Core supporting capabilities

  • orinet::compare - functions for comparing two orientations and extracting quantitative measures of the difference between them.

  • orinet::align - functions for estimating the alignment between data values (e.g. alignment of pairs of directions).

  • orinet::robust - functions for robust estimation of central tendency orientation data. E.g. computation of a median orientation that is insensitive to outlier data (such as bad orientation solutions).

Simulation and testing support

  • orinet::random - functions providing pseudo random data generation (support for test/ programs).

  • orinet::sim - functions for simulation of data sets (often useful for development and testing new applications).

Header files

OriNet project header includes the main and supporting headers. For simulation and testing, include those headers directly. E.g.

// Some C++(20) file
#include <OriNet>  // Sufficient for general use

#include <OriNet/random>  // For (psudo)random data generation
#include <OriNet/sim>  // For network simulation utility functions

Dependencies

Development Utilities

  • A C++20 compiler - tested with gcc 12.2.0-14 and clang 14.0.6.

  • CMake - for generating cross platform build systems.

  • doxygen - for generating reference documentation.

  • lyx - document processor system for generating latex code and associated publication formats. Used for documents in ./theory/ directory.

The OriNet software project incorporates the following support libraries.

  • Rigibra - RIGId Body AlgreBRA Practical C++ rigid body modeling algebra. Rigibra classes are used to represent both the station and relative orientations.

  • Engabra - ENgineering Geometric AlgeBRA Practical C++ Geometric Algebra Computation for Engineering. Engabra classes constitute the supporting geometric algebra framework and provide basic vector algebra framework for interfacing with the library.

  • graaflib A general-purpose lightweight C++ graph library. Graaflib provides the graph data structure used to store orientation network data relationships and to perform efficient network traversal operations.

    • Note: graaflib can be installed as a header-only library. Download the appropriate archive file and expand it into an 'include' directory being searched by OriNet CMakefiles (e.g. expand into the /usr/local/include directory for system wide use.

Build commands

Example build command (including explicit setting of compiler)

CC=/usr/bin/clang CXX=/usr/bin/clang++\
 \
 cmake\
 -DCMAKE_BUILD_TYPE=Release\
 -DCMAKE_PREFIX_PATH=/tmpLocal/\
 -DCMAKE_INSTALL_PREFIX=/tmpLocal/\
 ~/repos/OriNet\
 &&\
 cmake --build . --target all -j `nproc`\
 &&\
 ctest
 &&\
 cpack

Package install (debian)

$ [sudo] apt install ./OriNet*

Package uninstall

`$ [sudo] apt remove orinet

Copyright (c) 2024 Stellacore Corporation

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