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                               (a) Experimental scenes                    (b) Localization results


                                                    Figure 14. Robustness test.


               so the algorithm developed in this study also has a large offset. This problem can be solved by subsequently
               considering adding more road elements.


               6.4. Robustness test
               Now, we compare the localization performance of the method in this paper with other methods. Since the
               road in the experimental scenes is lined with trees, the features extracted by LiDAR from the dense foliage
               are very noisy. In the experimental scenes, the GPS localization is correct because the GPS signal completely
               coverstheexperimentaldataset. WetreattheGPSmeasurementshereasgroundtruth. Figure14(b)showsthe
               localization results of the method in this paper with other methods in this case. LIOM lacks a pre-processing
               method to filter out reliable features, so its results are far from the correct ones. The unsatisfactory LIO-SAM
               results are due to unreliable features that severely affect the matching between keyframes. The method in this
               paper can obtain more accurate results than other methods.




               7. CONCLUSION
               In this paper, an iterative approximation-based method is proposed to generate the 3D curves of lane lines. For
               the problem of uneven sampling points in HD maps, a method based on numerical integration is proposed
               to achieve uniform sampling over the arc length. Based on the feature association results of the HD map and
               the perceptual image, lateral constraints are applied to the odometer localization results to obtain accurate and
               low-cost localization results. Experimental results show that the proposed method can generate HD maps and
               achieve high-precision localization. Future work will try to consider the lateral serial numbers of lane lines
               for clustering. Larger thresholds are easier to cluster on lane points with the same serial number. The radius
               threshold of lane points with different serial numbers is reduced so that the clustering can be clustered along
               the direction of lane lines, which can solve the problem of intermittent lane lines. To improve the practicality
               of this method, we will continue to explore the detection of more road elements, the generation of topological
               relationships for complex road sections (e.g., traffic circles), and the automatic association methods of traffic
               signs and lanes in the future. The main sensors used in this system are LiDAR and camera, which are sensitive
               to rain and snow occlusion. Therefore, the present system is not robust in rain and snow environment. In
               the subsequent work, thanks to the graphical optimization framework, we can easily add GPS measurement
               constraints to the position map. This can overcome the effect of rain and snow environment on the system to
               some extent. Cloudy weather is still one of the important challenges for GPS localization systems. In future
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