2603003493
  • Open Access
  • Article

CQC-Net: A Lightweight Model Utilizing Consistent Orientational Quaternion Wavelet Convolution for Skin Lesion Segmentation

  • Hao Tang 1,   
  • Guoheng Huang 1,*,   
  • Xiaochen Yuan 2,   
  • Qi Tao 3,   
  • Guo Zhong 4,*,   
  • Baiying Lei 5,*

Received: 25 Mar 2026 | Revised: 28 Mar 2026 | Accepted: 31 Mar 2026 | Published: 31 Mar 2026

Abstract

Accurate and efficient segmentation is crucial for melanoma diagnosis. Recent approaches have shifted from focusing solely on spatial information to incorporating frequency information, such as via wavelet transforms, to balance performance and model complexity. While these methods have demonstrated success, they often overlook intrinsic directional properties of wavelets (vertical, horizontal, and diagonal components) and the interplay between low- and high-frequency components. To address these gaps, we propose an orientation-consistent quaternion convolution (OCQC) module and a quaternion enhanced feedforward network (QEFN), both operating in the quaternion wavelet domain. The OCQC module leverages directional properties of quaternion wavelet transforms, applying direction-specific quaternion convolutional kernels to different frequency components to avoid redundant feature learning. The QEFN uses quaternion depthwise separable convolutions (QDSC) and inverse QDSC (IQDSC) to project features into higher dimensions and reconstruct them, facilitating interaction among frequency bands. By integrating the quaternion wavelet transform (QWT), inverse QWT (IQWT), OCQC, and QEFN, we propose the consistent quaternion convolution neural network (CQC-Net). Extensive experiments show that our method achieves competitive performance while maintaining efficiency, with only 0.86 M parameters and 2.96 G Flops.

References 

  • 1.

    Long, G.V.; Swetter, S.M.; Menzies, A.M.; et al. Cutaneous Melanoma. Lancet 2023, 402, 485–502.

  • 2.

    Shelhamer, E.; Long, J.; Darrell, T. Fully Convolutional Networks for Semantic Segmentation. IEEE Trans. Pattern Anal. Mach. Intell. 2017, 39, 640–651.

  • 3.

    Ronneberger, O.; Fischer, P.; Brox, T. U-Net: Convolutional Networks for Biomedical Image Segmentation. In Medical Image Computing and Computer-Assisted Intervention—MICCAI 2015; Springer: Berlin/Heidelberg, 2015; pp. 234–241.

  • 4.

    Chen, L.C.; Papandreou, G.; Kokkinos, I.; et al. DeepLab: Semantic Image Segmentation with Deep Convolutional Nets, Atrous Convolution, and Fully Connected CRFs. IEEE Trans. Pattern Anal. Mach. Intell. 2018, 40, 834–848.

  • 5.

    Peng, Y.; Sonka, M.; Chen, D.Z. U-Net V2: Rethinking the Skip Connections of U-Net for Medical Image Segmentation. arXiv 2023, arXiv:2311.17791.

  • 6.

    Chen, J.; Mei, J.; Li, X.; et al. TransUNet: Rethinking the U-Net Architecture Design for Medical Image Segmentation through the Lens of Transformers. Med. Image Anal. 2024, 97, 103280.

  • 7.

    Cao, H.; Wang, Y.; Chen, J.; et al. Swin-Unet: Unet-Like Pure Transformer for Medical Image Segmentation. In Computer Vision—ECCV 2022 Workshops; Springer: Berlin/Heidelberg, 2023; pp. 205–218.

  • 8.

    Oktay, O.; Schlemper, J.; Folgoc, L.L.; et al. Attention U-Net: Learning Where to Look for the Pancreas. In Proceedings of the 1st Conference on Medical Imaging with Deep Learning (MIDL 2018), Amsterdam, The Netherlands, 4–6 July 2018.

  • 9.

    Zhang, Y.; Liu, H.; Hu, Q. TransFuse: Fusing Transformers and CNNs for Medical Image Segmentation. In Medical Image Computing and Computer Assisted Intervention—MICCAI 2021, Proceedings of the 24th International Conference, Strasbourg, France, 27 September–1 October 2021; Springer International Publishing: Cham, Switzerland, 2021; pp. 14–24.

  • 10.

    Hu, S.; Liao, Z.; Xia, Y. Devil Is in Channels: Contrastive Single Domain Generalization for Medical Image Segmentation. In Medical Image Computing and Computer Assisted Intervention—MICCAI 2023, Proceedings of the 26th International Conference, Vancouver, BC, Canada, 8–12 October 2023; Springer International Publishing: Cham, Switzerland, 2023; pp. 14–23.

  • 11.

    Chen, W.; Wang, K.; Qian, C.; et al. PPFormer: A Novel Model for Polyp Segmentation in Digestive Endoscopy. IEEE Trans. Med. Robot. Bionics 2024, 6, 548–555.

  • 12.

    Yang, L.; Zhai, C.; Wang, H.; et al. A Dual-Branch Fusion Network for Surgical Instrument Segmentation. IEEE Trans. Med. Robot. Bionics 2024, 6, 1542–1554.

  • 13.

    Banu, A.S.; Deivalakshmi, S. AWUNet: Leaf Area Segmentation Based on Attention Gate and Wavelet Pooling Mechanism. Signal Image Video Process. 2023, 17, 1915–1924.

  • 14.

    Zhao, Y.; Wang, S.; Zhang, Y.; et al. WRANet: Wavelet Integrated Residual Attention U-Net Network for Medical Image Segmentation. Complex Intell. Syst. 2023, 9, 6971–6983.

  • 15.

    Agnes, S.A.; Solomon, A.A.; Karthick, K. Wavelet U-Net++ for Accurate Lung Nodule Segmentation in CT Scans: Improving Early Detection and Diagnosis of Lung Cancer. Biomed. Signal Process. Control 2024, 87, 105509.

  • 16.

    Imtiaz, T.; Fattah, S.A.; Kung, S.Y. BAWGNet: Boundary Aware Wavelet Guided Network for the Nuclei Segmentation in Histopathology Images. Comput. Biol. Med. 2023, 165, 107378.

  • 17.

    Zhang, J.; Zeng, Z.; Sharma, P.K.; et al. A Dual Encoder Crack Segmentation Network with Haar Wavelet-Based High–Low Frequency Attention. Expert Syst. Appl. 2024, 256, 124950.

  • 18.

    Zhou, Y.; Huang, J.; Wang, C.; et al. XNet: Wavelet-Based Low and High Frequency Fusion Networks for Fully- and Semi-Supervised Semantic Segmentation of Biomedical Images. In Proceedings of the IEEE/CVF International Conference on Computer Vision, Paris, France, 1–6 October 2023; pp. 21085–21096.

  • 19.

    Hamilton, W.R. II. On Quaternions; or on a New System of Imaginaries in Algebra. Lond. Edinb. Dublin Philos. Mag. J. Sci. 1844, 25, 10–13.

  • 20.

    Chan, W.L.; Choi, H.; Baraniuk, R. Quaternion Wavelets for Image Analysis and Processing. In Proceedings of the 2004 International Conference on Image Processing (ICIP), Singapore, 24–27 October 2004; Volume 5, pp. 3057–3060.

  • 21.

    Lai, Z.; Qu, X.; Liu, Y.; et al. Image Reconstruction of Compressed Sensing MRI Using Graph-Based Redundant Wavelet Transform. Med. Image Anal. 2016, 27, 93–104.

  • 22.

    Choi, Y.J.; Lee, Y.W.; Kim, B.G. Wavelet Attention Embedding Networks for Video Super-Resolution. In Proceedings of the 2020 25th International Conference on Pattern Recognition (ICPR), Milan, Italy, 10–15 January 2021; pp. 7314–7320.

  • 23.

    Lin, M.; Lan, Q.; Huang, C.; et al. Wavelet-Based U-Shape Network for Bioabsorbable Vascular Stents Segmentation in IVOCT Images. Front. Physiol. 2024, 15, 1454835.

  • 24.

    Zheng, Z.; Huang, G.; Yuan, X.; et al. Quaternion-Valued Correlation Learning for Few-Shot Semantic Segmentation. IEEE Trans. Circuits Syst. Video Technol. 2022, 33, 2102–2115.

  • 25.

    Celsi, M.R.; Scardapane, S.; Comminiello, D. Quaternion Neural Networks for 3D Sound Source Localization in Reverberant Environments. In Proceedings of the 2020 IEEE 30th International Workshop on Machine Learning for Signal Processing (MLSP), Espoo, Finland, 21–24 September 2020; pp. 1–6.

  • 26.

    Zhou, Z.; Huo, Y.; Huang, G.; et al. QEAN: Quaternion-Enhanced Attention Network for Visual Dance Generation. Vis. Comput. 2024, 41, 961–973.

  • 27.

    Gaudet, C.J.; Maida, A.S. Deep Quaternion Networks. In Proceedings of the 2018 International Joint Conference on Neural Networks (IJCNN), Rio de Janeiro, Brazil, 8–13 July 2018; pp. 1–8.

  • 28.

    Tay, Y.; Zhang, A.; Luu, A.T.; et al. Lightweight and Efficient Neural Natural Language Processing with Quaternion Networks. In Proceedings of the 57th Annual Meeting of the Association for Computational Linguistics, Florence, Italy, 28 July–2 Augus 2019; pp. 1494–1503.

  • 29.

    Van Le, T.; Lee, J.Y. Specular Highlight Removal Using Quaternion Transformer. Comput. Vis. Image Underst. 2024, 249, 104179.

  • 30.

    Frants, V.; Agaian, S.; Panetta, K. QCNN-H: Single-Image Dehazing Using Quaternion Neural Networks. IEEE Trans. Cybern. 2023, 53, 5448–5458.

  • 31.

    Wu, Y.; He, K. Group Normalization. In Proceedings of the European Conference on Computer Vision, Munich, Germany, 8–14 September 2018; pp. 3–19.

  • 32.

    Cheong Took, C.; Mandic, D.P. Augmented Second-Order Statistics of Quaternion Random Signals. Signal Process. 2011, 91, 214–224.

  • 33.

    Yu, W.; Luo, M.; Zhou, P.; et al. MetaFormer Is Actually What You Need for Vision. In Proceedings of the 2022 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR), New Orleans, LA, USA, 18–24 June 2022; pp. 10809–10819.

  • 34.

    Cipolla, R.; Gal, Y.; Kendall, A. Multi-Task Learning Using Uncertainty toWeigh Losses for Scene Geometry and Semantics. In Proceedings of the 2018 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR), Salt Lake City, UT, USA, 18–23 June 2018; pp. 7482–7491.

  • 35.

    Gutman, D.; Codella, N.C.; Celebi, E.; et al. Skin Lesion Analysis Toward Melanoma Detection: A Challenge at the International Symposium on Biomedical Imaging (ISBI) 2016, Hosted by the International Skin Imaging Collaboration (ISIC). arXiv 2016, arXiv:1605.01397.

  • 36.

    Codella, N.C.F.; Gutman, D.; Celebi, M.E.; et al. Skin Lesion Analysis Toward Melanoma Detection: A Challenge at the 2017 International Symposium on Biomedical Imaging (ISBI), Hosted by the International Skin Imaging Collaboration (ISIC). In Proceedings of the 2018 IEEE 15th International Symposium on Biomedical Imaging (ISBI 2018), Washington, DC, USA, 4–7 April 2018; pp. 168–172.

  • 37.

    Codella, N.C.F.; Rotemberg, V.M.; Tschandl, P.; et al. Skin Lesion Analysis Toward Melanoma Detection 2018: A Challenge Hosted by the International Skin Imaging Collaboration (ISIC). arXiv 2019, arXiv:1902.03368.

  • 38.

    Ruan, J.; Xiang, S. VM-UNet: Vision Mamba UNet for Medical Image Segmentation. arXiv 2024, arXiv:2402.02491.

  • 39.

    Zhang, M.; Yu, Y.; Jin, S.; et al. VM-UNET-V2: Rethinking Vision Mamba UNet for Medical Image Segmentation. In Bioinformatics Research and Applications, Proceedings of the 20th International Symposium, ISBRA 2024, Kunming, China, 19–21 July 2024; Springer International Publishing: Cham, Switzerland, 2024; pp. 335–346.

  • 40.

    Loshchilov, I.; Hutter, F. SGDR: Stochastic Gradient Descent with Warm Restarts. In Proceedings of the International Conference on Learning Representations, Toulon, France, 24–26 April 2017.

  • 41.

    Zhou, Z.; Siddiquee, M.M.R.; Tajbakhsh, N.; Liang, J. UNet++: Redesigning Skip Connections to Exploit Multiscale Features in Image Segmentation. IEEE Trans. Med. Imaging 2020, 39, 1856–1867.

  • 42.

    Valanarasu, J.M.J.; Patel, V.M. UNeXt: MLP-Based Rapid Medical Image Segmentation Network. In Medical Image Computing and Computer Assisted Intervention—MICCAI 2022, Proceedings of the 25th International Conference, Singapore, 18–22 September 2022; Springer International Publishing: Cham, Switzerland, 2024; pp. 335–346. pp. 23–33.

  • 43.

    Dinh, B.D.; Nguyen, T.T.; Tran, T.T.; Pham, V.T. 1M Parameters Are Enough? A Lightweight CNN-Based Model for Medical Image Segmentation. In Proceedings of the 2023 Asia Pacific Signal and Information Processing Association Annual Summit and Conference (APSIPA ASC), Taipei, Taiwan, 31 October–3 November 2023; pp. 1279–1284.

Share this article:
How to Cite
Tang, H.; Huang, G.; Yuan, X.; Tao, Q.; Zhong, G.; Lei, B. CQC-Net: A Lightweight Model Utilizing Consistent Orientational Quaternion Wavelet Convolution for Skin Lesion Segmentation. Artificial Intelligence and Emerging Technologies 2026, 3 (1), 3. https://doi.org/10.53941/aiet.2026.100003.
RIS
BibTex
Copyright & License
article copyright Image
Copyright (c) 2026 by the authors.