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<article xsi:noNamespaceSchemaLocation="http://jats.nlm.nih.gov/publishing/1.1/xsd/JATS-journalpublishing1-mathml3.xsd" dtd-version="1.1" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"><front><journal-meta><journal-id journal-id-type="publisher-id">SSR</journal-id><journal-title-group><journal-title>Scientific and Social Research</journal-title></journal-title-group><issn>2661-4332</issn><eissn>2981-9946</eissn><publisher><publisher-name>Bio-Byword Scientific Publishing Pty. Ltd.</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.26689/ssr.v7i9.12061</article-id><article-categories><subj-group subj-group-type="heading"><subject>Article</subject></subj-group></article-categories><title>CW-HRNet: Constrained Deformable Sampling and Wavelet-Guided Enhancement for Lightweight Crack Segmentation</title><url>https://artdesignp.com/journal/SSR/7/9/10.26689/ssr.v7i9.12061</url><author>MaDewang</author><pub-date pub-type="publication-year"><year>2025</year></pub-date><volume>7</volume><issue>9</issue><history><date date-type="pub"><published-time>2025-09-09</published-time></date></history><abstract>This paper presents CW-HRNet, a high-resolution, lightweight crack segmentation network designed to address challenges in complex scenes with slender, deformable, and blurred crack structures. The model incorporates two key modules: Constrained Deformable Convolution (CDC), which stabilizes geometric alignment by applying a tanh limiter and learnable scaling factor to the predicted offsets, and the Wavelet Frequency Enhancement Module (WFEM), which decomposes features using Haar wavelets to preserve low-frequency structures while enhancing high-frequency boundaries and textures. Evaluations on the CrackSeg9k benchmark demonstrate CW-HRNet’s superior performance, achieving 82.39% mIoU with only 7.49M parameters and 10.34 GFLOPs, outperforming HrSegNet-B48 by 1.83% in segmentation accuracy with minimal complexity overhead. The model also shows strong cross-dataset generalization, achieving 60.01% mIoU and 66.22% F1 on Asphalt3k without fine-tuning. These results highlight CW-HRNet’s favorable accuracy-efficiency trade-off for real-world crack segmentation tasks.</abstract><keywords/></article-meta></front><body/><back><ref-list><ref id="B1" content-type="article"><label>1</label><element-citation publication-type="journal"><p>Yuan Q, Shi Y, Li M, 2024, A Review of Computer Vision-based Crack Detection Methods in Civil Infrastructure: Progress and Challenges. Remote Sensing, 2024, 16(16): 2910.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B2" content-type="article"><label>2</label><element-citation publication-type="journal"><p>Huang S, Chen H, Yan L, et al., 2025, A Review of the Progress in Machine Vision-based Crack Detection and Identification Technology for Asphalt Pavements. Digital Transportation and Safety, 4(1): 65–79.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B3" content-type="article"><label>3</label><element-citation publication-type="journal"><p>Zawad MRS, Zawad MFS, Rahman MA, et al., 2021, A Comparative Review of Image Processing Based Crack Detection Techniques on Civil Engineering Structures. Journal of Soft Computing in Civil Engineering, 5(3): 58–74.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B4" content-type="article"><label>4</label><element-citation publication-type="journal"><p>Long J, Shelhamer E, Darrell T, 2015, Fully Convolutional Networks for Semantic Segmentation. Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, 3431–3440.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B5" content-type="article"><label>5</label><element-citation publication-type="journal"><p>Lin TY, Dollar P, Girshick R, et al., 2017, Feature Pyramid Networks for Object Detection. Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, 2117–2125.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B6" content-type="article"><label>6</label><element-citation publication-type="journal"><p>Ronneberger O, Fischer P, Brox T, 2015, U-net: Convolutional Networks for Biomedical Image Segmentation. International Conference on Medical Image Computing and Computer-assisted Intervention. Springer International Publishing, Cham, 234–241.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B7" content-type="article"><label>7</label><element-citation publication-type="journal"><p>Huang G, Liu Z, Van Der Maaten L, et al., 2017, Densely Connected Convolutional Networks. Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, 4700–4708.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B8" content-type="article"><label>8</label><element-citation publication-type="journal"><p>Dai J, Qi H, Xiong Y, et al., 2017, Deformable Convolutional Networks. Proceedings of the IEEE International Conference on Computer Vision, 764–773.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B9" content-type="article"><label>9</label><element-citation publication-type="journal"><p>Li Q, Shen L, 2022, Wavesnet: Wavelet Integrated Deep Networks for Image Segmentation. Chinese Conference on Pattern Recognition and Computer Vision (PRCV). Springer Nature Switzerland, Cham, 325–337.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B10" content-type="article"><label>10</label><element-citation publication-type="journal"><p>Li Q, Shen L, 2022, Neuron Segmentation using 3D Wavelet Integrated Encoder–Decoder Network. Bioinformatics, 38(3): 809–817.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B11" content-type="article"><label>11</label><element-citation publication-type="journal"><p>Yuan F, Lin Z, Tian Z, et al., 2025, Bio-inspired Hybrid Path Planning for Efficient and Smooth Robotic Navigation. International Journal of Intelligent Robotics and Applications, 2025: 1–31.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B12" content-type="article"><label>12</label><element-citation publication-type="journal"><p>Liang B, Yuan F, Deng J, et al., 2025, Cs-pbft: A Comprehensive Scoring-based Practical Byzantine Fault Tolerance Consensus Algorithm. The Journal of Supercomputing, 81(7): 859.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B13" content-type="article"><label>13</label><element-citation publication-type="journal"><p>Zhang K, Yuan F, Jiang Y, et al., 2025, A Particle Swarm Optimization-Guided Ivy Algorithm for Global Optimization Problems. Biomimetics, 10(5): 342.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B14" content-type="article"><label>14</label><element-citation publication-type="journal"><p>Yuan F, Huang X, Jiang H, et al., 2025, An xLSTM–XGBoost Ensemble Model for Forecasting Non-Stationary and Highly Volatile Gasoline Price. Computers, 14(7): 256.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B15" content-type="article"><label>15</label><element-citation publication-type="journal"><p>Kulkarni S, Singh S, Balakrishnan D, et al., 2022, CrackSeg9k: A Collection and Benchmark for Crack Segmentation Datasets and Frameworks. European Conference on Computer Vision. Springer Nature Switzerland, Cham, 179–195.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B16" content-type="article"><label>16</label><element-citation publication-type="journal"><p>Yang N, Li Y, Ma R, 2022, An Efficient Method for Detecting Asphalt Pavement Cracks and Sealed Cracks Based on a Deep Data-driven Model. Applied Sciences, 12(19): 10089.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B17" content-type="article"><label>17</label><element-citation publication-type="journal"><p>Zhao H, Shi J, Qi X, et al., 2017, Pyramid scene parsing network. Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, 2881–2890.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B18" content-type="article"><label>18</label><element-citation publication-type="journal"><p>Yuan Y, Chen X, Wang J, 2020, Object-contextual Representations for Semantic Segmentation. European Conference on Computer Vision. Springer International Publishing, Cham, 173–190.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B19" content-type="article"><label>19</label><element-citation publication-type="journal"><p>Chen LC, Papandreou G, Schroff F, et al., 2017, Rethinking Atrous Convolution for Semantic Image Segmentation. arXiv preprint, arXiv:1706.05587.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B20" content-type="article"><label>20</label><element-citation publication-type="journal"><p>Yu C, Gao C, Wang J, et al., 2021, Bisenet v2: Bilateral Network with Guided Aggregation for Real-time Semantic Segmentation. International Journal of Computer Vision, 129(11): 3051–3068.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B21" content-type="article"><label>21</label><element-citation publication-type="journal"><p>Fan M, Lai S, Huang J, et al., 2021, Rethinking Bisenet for Real-time Semantic Segmentation. Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, 9716–9725.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B22" content-type="article"><label>22</label><element-citation publication-type="journal"><p>Hong Y, Pan H, Sun W, et al., 2021, Deep dual-resolution Networks for Real-time and Accurate Semantic Segmentation of Road Scenes. arXiv, preprint, arXiv:2101.06085.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B23" content-type="article"><label>23</label><element-citation publication-type="journal"><p>Liu Z, Cao Y, Wang Y, et al., 2019, Computer Vision-based Concrete Crack Detection using U-net Fully Convolutional Networks. Automation in Construction, 2019(104): 129–139.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B24" content-type="article"><label>24</label><element-citation publication-type="journal"><p>Shi P, Zhu F, Xin Y, et al., 2023, U2CrackNet: A Deeper Architecture with Two-level Nested U-structure for Pavement Crack Detection. Structural Health Monitoring, 22(4): 2910–2921.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B25" content-type="article"><label>25</label><element-citation publication-type="journal"><p>Yu G, Dong J, Wang Y, et al., 2022, RUC-Net: A Residual-Unet-based Convolutional Neural Network for Pixel-level Pavement Crack Segmentation. Sensors, 23(1): 53.</p><pub-id pub-id-type="doi"/></element-citation></ref><ref id="B26" content-type="article"><label>26</label><element-citation publication-type="journal"><p>Li Y, Ma R, Liu H, et al., 2023, Real-time High-resolution Neural Network with Semantic Guidance for Crack Segmentation. Automation in Construction, 2023(156): 105112.</p><pub-id pub-id-type="doi"/></element-citation></ref></ref-list></back></article>
