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PLE: Probabilistic Line Extraction from 2-D Laser Range Scans

Line extraction example

Exemplary result of our polyline extraction method applied to a scan captured in an office. The scan consists of 361 rays, of which every second is displayed as a red line. Gray lines indicate maximum-range readings. The extracted polyline map, drawn as blue lines, consists of ten vertices, reducing memory requirements to less than 3%.

About this Repository

This repository contains the MATLAB implementation of our maximum likelihood approach to extract polylines from 2-D range scans. It also comprises the scripts we used in the experiments to compare our method to several state-of-the-art line extractors.

The Algorithm in a Nutshell

Our approach extracts polylines from 2-D laser range scans. In contrast to prevalent line extraction techniques, it does not rely on a geometric heuristic, but maximizes the measurement probability of the scan to accurately determine polylines. The method consists of two steps.

  1. Polyline Extraction. Polyline extraction starts by connecting all neighboring scan endpoints to form a set of initial polylines. It then iteratively removes the vertex that incurs the least error in terms of measurement probability until it reaches a given threshold. The result is a set of polylines whose vertex locations coincide with the locations of a subset of the scan endpoints.
  2. Polyline Optimization. To do away with the limitation that vertex locations coincide with endpoint locations, we formulate an optimization problem that moves the vertices to the positions that maximize the measurement probability of the scan. We call this latter process polyline optimization.

For a short illustration of the algorithm, please take a look at the Powerpoint presentation from IROS 2018. For a detailed description of our method and the experiments, consult our paper.

Quick Start Instructions

The code does not require compilation or installation. To run a line extraction example, follow these steps:

  1. Install MATLAB (R2017b and R2018a are tested) with robotics toolbox
  2. Clone or download the repository.
  3. Run the startup script in the matlab folder to set up your MATLAB searchpath.
  4. Run the example script extrlin.

Repository Organization

The repository is organized using the following folders:

Folder Content
data laser scan files and results of experiments with Veeck's method
matlab functions and classes required to run examples and experiments
matlab/script example scripts and experiments scripts
matlab/output output of our experiments, see below

How to Reproduce Our Experiments

To reproduce our experimental results, run the following scripts one after the other from the folder matlab:

Script Description
startup Set up MATLAB search path.
gendata Create real-world dataset from Carmen files and simulated dataset using randomized polygons.
runexp Apply all line extraction methods to all datasets with various parameter settings. This script usually runs for a few hours until completion.
evalexp Calculate various figures of merits from the results.
ploteval Create the evaluation plots.

After running evalexp, individual results can be plotted using the function inspectresult, e.g. inspectresult(1,1,1,1). See function help for details. Note that the .mat and .fig files containing the results from the above steps are already present in the output folder. Consequently, every script can be directly executed.

Supported Platforms and MATLAB Versions

It is not bound to any specific platform. It was tested on MATLAB R2017b and R2018a with robotics toolbox on Windows and Linux systems. Earlier versions than R2016b do not work out of the box. If you experience any problems, please do not hesitate to create an issue.

License

All code in this repository is licensed under GPL-3.0.

How to Cite

If you use our line extraction method in your research, please cite our paper that describes the approach:

A Maximum Likelihood Approach to Extract Polylines from 2-D Laser Range Scans
Alexander Schaefer, Daniel Büscher, Lukas Luft, Wolfram Burgard
IEEE International Conference on Intelligent Robots 2018, Madrid, Spain

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