Wheel Pair Flatness Detection Method Based on Optimized Sparrow Algorithm

Shuang Zhang; Boao Wang; Guokai Zhu; Wei Zhang; Dongyu Sun; Wei Liu

doi:10.3788/LOP242382

Laser & Optoelectronics Progress, Volume. 62, Issue 14, 1415006(2025)

Wheel Pair Flatness Detection Method Based on Optimized Sparrow Algorithm

Shuang Zhang¹, Boao Wang¹, Guokai Zhu¹, Wei Zhang², Dongyu Sun^1,2、*, and Wei Liu²

Author Affiliations

¹School of Mechanical and Electrical Engineering, Changchun Institute of Technology, Changchun 130012, Jilin , China

²School of Mechatronic Engineering, Changchun University of Technology, Changchun 130012, Jilin , China

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Abstract Get PDF(in Chinese)

Figures & Tables(11)

Fig. 1. Structure of wheel pair

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Fig. 2. Experimental platform and interface of inner side point cloud data for wheel pair

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Fig. 3. Comparison of point clouds before and after filtering and noise reduction processing. (a) Before filtering and noise reduction; (b) after filtering and noise reduction

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Fig. 4. Flowchart of optimization for SSA

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Fig. 5. Fitting flatness errors without noise point by different methods

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Fig. 6. Flatness error values of different methods. (a) RANSAC; (b) SSA-RANSAC; (c) our-SSA-RANSAC

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Fig. 7. Fitting results of inner side for wheel pair by different methods

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Table 1. Configurations of experimental system
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Table 1. Configurations of experimental system
Parameter Configuration
CPU Win 10
GPU Intel（R） Core（TM） i7-13700KF@3.40 GHz
RAM 64.0 GB
HDD SSD 1861 GB

Table 2. Comparison results of different algorithms with different initial numbers of sparrow
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Table 2. Comparison results of different algorithms with different initial numbers of sparrow
Algorithm Initial number of sparrow Error /mm Runtime /s
SSA-RANSAC 50 1.825 0.3628
100 1.819 0.5234
150 1.807 0.7134
our-SSA-RANSAC 50 0.374 0.3600
100 0.251 0.6688
150 0.249 0.9786

Table 3. Parameter values for fitting planes by different methods

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Table 3. Parameter values for fitting planes by different methods

Experiment	RANSAC				SSA-RANSAC				our-SSA-RANSAC
Experiment	A	B	C	D	A	B	C	D	A	B	C	D
0	0.424	0.566	-0.707	-0.849	-0.321	-0.573	0.721	0.289	0.255	0.313	-0.441	-0.253
10%-1 cm	-0.424	-0.566	0.707	0.849	-0.821	-0.659	1.046	0.600	-0.041	-0.054	0.069	0.090
10%-2 cm	0.424	0.566	-0.707	-0.849	-0.186	-0.239	0.267	0.646	0.064	0.103	-0.130	-0.097
10%-3 cm	0.424	0.566	-0.707	-0.849	-0.117	-0.180	0.246	0.022	0.152	0.205	-0.258	-0.144
20%-1 cm	-0.426	-0.569	0.704	0.861	-0.474	-0.670	0.758	1.218	0.178	0.229	-0.310	-0.246
20%-2 cm	0.424	0.566	-0.707	-0.849	-0.339	-0.475	0.561	0.562	0.224	0.655	-0.722	0.013
20%-3 cm	0.456	0.733	-0.505	-2.756	-0.288	-0.449	0.540	0.639	0.349	0.401	-0.558	-0.424
30%-1 cm	0.036	0.042	-0.056	-0.070	0.525	0.673	-0.841	-0.660	0.513	0.623	-0.918	-0.264
30%-2 cm	0.110	0.170	-0.204	-0.262	-0.005	-0.006	0.008	0.014	0.424	0.566	-0.707	-0.849
30%-3 cm	0.422	0.603	-0.678	-1.217	0.086	0.094	-0.120	-0.188	0.304	0.402	-0.511	-0.302
40%-1 cm	-0.041	-0.049	0.066	0.055	0.685	0.519	-0.913	-0.555	0.445	0.638	-0.900	-0.038
40%-2 cm	0.041	0.063	-0.069	-0.108	0.171	0.296	-0.370	-0.188	0.214	0.272	-0.348	-0.476
40%-3 cm	0.099	0.123	-0.163	-0.102	0.246	0.410	-0.494	-0.396	0.241	0.299	-0.376	-0.385
50%-1 cm	-0.743	-0.412	0.527	1.274	0.626	0.719	-1.027	-0.219	0.424	0.566	-0.707	-0.849
50%-2 cm	-0.424	-0.566	0.707	0.849	0.440	0.633	-0.802	-0.249	0.480	0.541	-0.690	-1.230
50%-3 cm	-0.411	-0.575	0.708	0.767	0.301	0.608	-0.683	-0.732	0.402	0.569	-0.629	-1.231

Table 4. Fitting results and errors of the inner side for wheel pair by different methods
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Table 4. Fitting results and errors of the inner side for wheel pair by different methods
Method A B C D σ /mm
RANSAC -0.2174 0.1954 -0.9566 8.0798 0.044
SSA-RANSAC -0.2162 -0.1935 0.9542 -8.0436 0.059
Our-SSA-RANSAC -0.2174 0.1955 -0.9566 -8.0747 0.042

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Shuang Zhang, Boao Wang, Guokai Zhu, Wei Zhang, Dongyu Sun, Wei Liu. Wheel Pair Flatness Detection Method Based on Optimized Sparrow Algorithm[J]. Laser & Optoelectronics Progress, 2025, 62(14): 1415006

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