Lung Nodule in CT Image Quantification by Using Wavelet Transform
DOI:
https://doi.org/10.57159/jcmm.5.3.26664Keywords:
Lung Nodule, CT Image, Wavelet Transform, Segmentation, Synthetic NoduleAbstract
Pulmonary nodule growth rate is a key indicator for lung cancer progression. Doubling time defines the type of nodule and, subsequently, the malignancy rate of lung cancer. Lung nodule diameter measurement contributes to assessing the lung nodule growth rate. The lung computed tomography (CT) image is used to identify pulmonary nodules, which are indicators for lung cancer. Hence, this work addresses lung cancer by segmenting and quantifying lung nodules to inform a therapeutic regimen. The proposed methodology consists of a multistage image processing pipeline designed to improve lung nodule detection accuracy. Initially, the CT image undergoes contrast enhancement using Contrast Limited Adaptive Histogram Equalization (CLAHE) and wavelet-based denoising to suppress noise while reducing false positives. Lung parenchyma is segmented through Otsu thresholding and morphological operations. The parenchyma is subjected to wavelet-based quantization for feature representation. Gaussian smoothing and the Canny edge detector emphasize the lung nodule boundaries. Edge linking and shape-based filtering eliminate the non-nodule structures. Final boundary-extracted nodules are subjected to mean diameter measurement. The performance of the proposed segmentation framework is evaluated on the LIDC-IDRI dataset using standard metrics against traditional segmentation methods. The quantified nodules are tested against synthetic pulmonary nodules for reliable measurement. Overall, the framework demonstrated promising performance as an image analysis tool for CT image processing applications in nodule detection.
References
[1] Mayo Clinic Health System, "Understanding lung nodules: Determining risks and diagnosing." Mayo Foundation for Medical Education and Research, 2023.
[2] American Thoracic Society, "What is a lung nodule?." American Thoracic Society, 2020.
[3] H. MacMahon et al., "Guidelines for management of incidental pulmonary nodules detected on CT images: From the fleischner society 2017," Radiology, vol. 284, no. 1, pp. 228–243, 2017.
[4] National Cancer Institute, "Pulmonary nodule." NCI Dictionary of Cancer Terms.
[5] National Comprehensive Cancer Network, "NCCN clinical practice guidelines in oncology: Lung cancer screening (version 1.2024)," tech. rep., NCCN, 2024.
[6] T. Araki, M. Nishino, W. Gao, and C. I. Henschke, "Subsolid pulmonary nodules and the spectrum of early lung adenocarcinoma: CT features, management, and challenges," Radiographics, vol. 40, no. 2, pp. 392–414, 2020.
[7] J. J. Erasmus, J. E. Connolly, H. P. McAdams, and V. L. Roggli, "Solitary pulmonary nodules: Part I. morphologic evaluation for differentiation of benign and malignant lesions," Radiographics, vol. 20, no. 1, pp. 43–58, 2000.
[8] M. K. Gould, T. Tang, I. L. Liu, J. Lee, C. Zheng, K. N. Danforth, A. E. Kosco, J. L. D. Fiore, and D. E. Suh, "Recent trends in the identification of incidental pulmonary nodules," American Journal of Respiratory and Critical Care Medicine, vol. 192, no. 10, pp. 1208–1214, 2015.
[9] M. T. Truong, J. P. Ko, S. E. Rossi, I. Rossi, C. Viswanathan, J. F. Bruzzi, E. M. Marom, and J. J. Erasmus, "Update in the evaluation of the solitary pulmonary nodule," Radiographics, vol. 34, no. 6, pp. 1658–1679, 2014.
[10] D. Groheux et al., "FDG PET-CT for solitary pulmonary nodule and lung cancer: Literature review," Diagnostic and Interventional Imaging, vol. 97, no. 10, pp. 1003–1017, 2016.
[11] L. G. Collins et al., "Lung cancer: Diagnosis and management," American Family Physician, vol. 75, no. 1, pp. 56–63, 2007.
[12] C. F. Woodworth, L. M. F. Lima, B. J. Bartholmai, and C. W. Koo, "Imaging of solid pulmonary nodules," Clinics in Chest Medicine, vol. 45, no. 2, pp. 249–261, 2024.
[13] P. B. O'Donovan, "The radiologic appearance of lung cancer," Oncology (Williston Park), vol. 11, no. 9, pp. 1387–1404, 1997.
[14] W. D. Travis et al., "The 2015 world health organization classification of lung tumors: Impact of genetic, clinical and radiologic advances since the 2004 classification," Journal of Thoracic Oncology, vol. 10, no. 9, pp. 1243–1260, 2015.
[15] L. Fournel et al., "Correlation between radiological and pathological features of operated ground glass nodules," European Journal of Cardio-Thoracic Surgery, vol. 51, no. 2, pp. 248–254, 2017.
[16] D. R. Aberle et al., "Reduced lung-cancer mortality with low-dose computed tomographic screening," The New England Journal of Medicine, vol. 365, no. 5, pp. 395–409, 2011.
[17] M. T. Truong, J. P. Ko, S. E. Rossi, I. Rossi, C. Viswanathan, J. F. Bruzzi, E. M. Marom, and J. J. Erasmus, "Update in the evaluation of the solitary pulmonary nodule," Radiographics, vol. 34, no. 6, pp. 1658–1679, 2014.
[18] M. E. J. Callister et al., "British thoracic society guidelines for the investigation and management of pulmonary nodules," Thorax, vol. 70, no. Suppl. 2, pp. ii1–ii54, 2015.
[19] P. Lambin et al., "Radiomics: Extracting more information from medical images using advanced feature analysis," European Journal of Cancer, vol. 48, no. 4, pp. 441–446, 2012.
[20] P. Lambin et al., "Radiomics: The bridge between medical imaging and personalized medicine," Nature Reviews Clinical Oncology, vol. 14, no. 12, pp. 749–762, 2017.
[21] S. Hawkins et al., "Predicting malignant nodules from screening CT scans," Journal of Thoracic Oncology, vol. 11, no. 12, pp. 2120–2128, 2016.
[22] S. S. F. Yip and H. J. W. L. Aerts, "Applications and limitations of radiomics," Physics in Medicine and Biology, vol. 61, no. 13, pp. R150–R166, 2016.
[23] A. A. A. Setio et al., "Validation, comparison, and combination of algorithms for automatic detection of pulmonary nodules in computed tomography images: The LUNA16 challenge," Medical Image Analysis, vol. 42, pp. 1–13, 2017.
[24] S. G. Armato et al., "The lung image database consortium (LIDC) and image database resource initiative (IDRI): A completed reference database of lung nodules on CT scans," Medical Physics, vol. 38, no. 2, pp. 915–931, 2011.
[25] S. Saraswathi and L. M. I. Sheela, "Detection of juxtapleural nodules in lung cancer cases using an optimal critical point selection algorithm," Asian Pacific Journal of Cancer Prevention, vol. 18, no. 11, pp. 3143–3148, 2017.
[26] Y. Liu et al., "Radiological image traits predictive of cancer status in pulmonary nodules," Clinical Cancer Research, vol. 23, no. 6, pp. 1442–1449, 2017.
[27] M. Anthimopoulos, S. Christodoulidis, L. Ebner, A. Christe, and S. Mougiakakou, "Lung pattern classification for interstitial lung diseases using a deep convolutional neural network," IEEE Transactions on Medical Imaging, vol. 35, no. 5, pp. 1207–1216, 2016.
[28] F. Ciompi, B. de Hoop, S. J. van Riel, K. Chung, E. T. Scholten, M. Oudkerk, P. A. de Jong, M. Prokop, and B. van Ginneken, "Automatic classification of pulmonary peri-fissural nodules in computed tomography using an ensemble of 2D views and a convolutional neural network out-of-the-box," Medical Image Analysis, vol. 26, no. 1, pp. 195–202, 2015.
[29] M. J. Willemink, M. Persson, A. Pourmorteza, N. J. Pelc, and D. Fleischmann, "Photon-counting CT: Technical principles and clinical prospects," Radiology, vol. 289, no. 2, pp. 293–312, 2018.
[30] C. H. McCollough, A. N. Primak, N. Braun, J. Kofler, L. Yu, and J. Christner, "Strategies for reducing radiation dose in CT," Radiologic Clinics of North America, vol. 47, no. 1, pp. 27–40, 2009.
[31] I. Daubechies, Ten Lectures on Wavelets. Society for Industrial and Applied Mathematics, 1992.
[32] S. Mallat, A Wavelet Tour of Signal Processing. San Diego: Academic Press, 2nd ed., 1999.
[33] L. Cohen, Time Frequency Analysis. Prentice Hall Signal Processing Series, Englewood Cliffs, NJ: Prentice Hall, 1995.
[34] P. S. Addison, The Illustrated Wavelet Transform Handbook. CRC Press, 2017.
[35] S. Sanei and J. A. Chambers, EEG Signal Processing. Wiley, 1st ed., 2007.
[36] M. Unser and A. Aldroubi, "A review of wavelets in biomedical applications," Proceedings of the IEEE, vol. 84, no. 4, pp. 626–638, 1996.
[37] Q. Li, S. Sone, and K. Doi, "Selective enhancement filters for nodules, vessels, and airway walls in two- and three-dimensional CT scans," Medical Physics, vol. 30, no. 8, pp. 2040–2051, 2003.
[38] S. AlZubi, M. S. Sharif, N. Islam, and M. Abbod, "Multi-resolution analysis using curvelet and wavelet transforms for medical imaging," in Proc. 2011 IEEE International Symposium on Medical Measurements and Applications (MeMeA), (Bari, Italy), pp. 188–191, 2011.
[39] S. Surono, M. Rivaldi, D. A. Dewi, and N. Irsalinda, "New approach to image segmentation: U-Net convolutional network for multiresolution CT image lung segmentation," Emerging Science Journal, vol. 7, no. 2, pp. 498–506, 2023.
[40] K. P. Aarthy and U. S. Ragupathy, "Detection of lung nodule using multiscale wavelets and support vector machine," International Journal of Soft Computing and Engineering, vol. 2, no. 3, 2012.
[41] C. Liu and M. Pang, "Automatic lung segmentation based on image decomposition and wavelet transform," Biomedical Signal Processing and Control, vol. 61, p. 102032, 2020.
[42] C.-F. J. Kuo, C.-C. Huang, J.-J. Siao, C.-W. Hsieh, V. Q. Huy, K.-H. Ko, and H.-H. Hsu, "Automatic lung nodule detection system using image processing techniques in computed tomography," Biomedical Signal Processing and Control, vol. 56, p. 101659, 2020.
[43] S. A. Agnes, A. A. Solomon, and K. Karthick, "Wavelet U-Net++ for accurate lung nodule segmentation in CT scans: Improving early detection and diagnosis of lung cancer," Biomedical Signal Processing and Control, vol. 87, Part A, p. 105509, 2024.
[44] N. T. Ali, N. K. E. Abbadi, and A. M. Ghandour, "Lung cancer detection using wavelet transform with deep learning algorithms," BIO Web of Conferences, vol. 97, p. 00050, 2024.
[45] F. Amini, R. Amjadifard, and A. Mansouri, "Fuzzy information granulation towards benign and malignant lung nodule classification," Computer Methods and Programs in Biomedicine Update, vol. 5, p. 100153, 2024.
[46] B. Jamshidi, N. Ghorbani, and M. Rostamy-Malkhalifeh, "Optimizing lung cancer detection in CT imaging: A wavelet multi-layer perceptron (WMLP) approach enhanced by dragonfly algorithm (DA)," arXiv preprint arXiv:2408.15355, 2024.
[47] A. Nandhini and M. Sengaliappan, "Improved attention-based MBConvBlock-EfficientDet network based cuckoo search algorithm for osteosarcoma nodule detection enhancement," ICTACT Journal on Image and Video Processing, vol. 15, no. 3, 2025.
[48] E. Matsuyama, H. Watanabe, and N. Takahashi, "A wavelet-based two-stage vision transformer model for histological subtypes classification of lung cancers on CT images," Open Journal of Medical Imaging, vol. 15, no. 2, pp. 57–72, 2025.
[49] A. Nissar and A. H. Mir, "Evaluation of radiomics and machine learning for classifying pulmonary nodules in CT images," Frontiers in Biomedical Technologies, 2024.
[50] M. Vishwanath and A. Mohan, "False positive reduction in lung nodule detection using patch-based convolution neural networks," International Journal of Engineering Science and Advanced Technology, vol. 21, no. 9, 2021.
[51] C. Gao et al., "Deep learning in pulmonary nodule detection and segmentation: A systematic review," European Radiology, vol. 35, no. 1, pp. 255–266, 2025.
[52] A. Dubey, P. Yadav, S. C. Patel, C. P. Bhargava, and A. Tomar, "Identifying lung cancer: A review on classification and detection," Traitement du Signal, vol. 41, no. 4, pp. 2023–2034, 2024.
[53] Anonymous, "LN-DETR: Cross-scale feature fusion and re-weighting for lung nodule detection," Scientific Reports, vol. 15, no. 1, p. 15543, 2025.
[54] P. Y. Dhirendra, B. Sharma, J. L. Webber, A. Mehbodniya, and S. Chauhan, "EDTNet: A spatial aware attention-based transformer for the pulmonary nodule segmentation," PLOS ONE, vol. 19, no. 11, 2024.
[55] J. Park, J. R. Mi, and M. H. Moon, "Enhanced deep learning model for precise nodule localization and recurrence risk prediction following curative-intent surgery for lung cancer," PLOS ONE, vol. 19, no. 7, 2024.
[56] W. Shen, M. Zhou, F. Yang, et al., "Multi-crop convolutional neural networks for lung nodule malignancy suspiciousness classification," Pattern Recognition, vol. 61, pp. 663–673, 2017.
[57] A. A. A. Setio, A. Traverso, T. de Bel, et al., "Validation, comparison, and combination of algorithms for automatic detection of pulmonary nodules in computed tomography images: The LUNA16 challenge," Medical Image Analysis, vol. 42, pp. 1–13, 2017.
[58] K. He, G. Gkioxari, P. Dollár, and R. Girshick, "Mask R-CNN," in Proc. IEEE Int. Conf. on Computer Vision (ICCV), pp. 2980–2988, 2017.
[59] Q. Li, W. Cai, X. Wang, et al., "Medical image classification with convolutional neural network," in Proc. 13th Int. Conf. on Control, Automation, Robotics and Vision (ICARCV), pp. 844–849, 2014.
[60] O. Ronneberger, P. Fischer, and T. Brox, "U-Net: Convolutional networks for biomedical image segmentation," in Medical Image Computing and Computer-Assisted Intervention (MICCAI) 2015, LNCS 9351, pp. 234–241, 2015.
[61] Z. Zhou, M. M. R. Siddiquee, N. Tajbakhsh, and J. Liang, "UNet++: A nested U-Net architecture for medical image segmentation," in Deep Learning in Medical Image Analysis and Multimodal Learning for Clinical Decision Support (DLMIA), pp. 3–11, 2018.
[62] O. Oktay, J. Schlemper, L. L. Folgoc, et al., "Attention U-Net: Learning where to look for the pancreas," arXiv preprint arXiv:1804.03999, 2018.
[63] A. Dosovitskiy, L. Beyer, A. Kolesnikov, et al., "An image is worth 16x16 words: Transformers for image recognition at scale," in Proc. Int. Conf. Learn. Represent. (ICLR), 2021.
[64] J. Chen, Y. Lu, Q. Yu, et al., "TransUNet: Transformers make strong encoders for medical image segmentation," arXiv preprint arXiv:2102.04306, 2021.
[65] P. Zhai, Y. Tao, H. Chen, T. Cai, and J. Li, "Multi-task learning for lung nodule classification on chest CT," IEEE Access, vol. 8, pp. 180317–180327, 2020.
[66] N. Tajbakhsh, J. Y. Shin, S. R. Gurudu, et al., "Convolutional neural networks for medical image analysis: Full training or fine tuning?," IEEE Transactions on Medical Imaging, vol. 35, no. 5, pp. 1299–1312, 2016.
[67] F. Liao, M. Liang, Z. Li, et al., "Evaluate the malignancy of pulmonary nodules using the 3D deep leaky noisy-or network," Medical Image Analysis, vol. 55, pp. 122–134, 2019.
[68] F. Doshi-Velez and B. Kim, "Towards a rigorous science of interpretable machine learning," arXiv preprint arXiv:1702.08608, 2017.
[69] Joker AK, "LIDC-IDRI dataset." Kaggle.
[70] N. Otsu, "A threshold selection method from gray-level histograms," IEEE Transactions on Systems, Man, and Cybernetics, vol. 9, no. 1, pp. 62–66, 1979.
[71] J. Canny, "A computational approach to edge detection," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. PAMI-8, no. 6, pp. 679–698, 1986.
[72] L. Maier-Hein et al., "Why rankings of biomedical image analysis competitions should be interpreted with care," Nature Communications, vol. 9, no. 1, p. 5217, 2018.
[73] D. Alhajim, K. Ansari-Asl, G. Akbarizadeh, and M. N. Soorki, "Improved lung nodule segmentation with a squeeze excitation dilated attention based residual UNet," Scientific Reports, vol. 15, no. 1, p. 3770, 2025.
[74] J. Zhang, M. Yang, W. Guo, B. A. Xavier, M. Bolen, and X. Li, "Detection-guided deep learning-based model with spatial regularization for lung nodule segmentation," Quantitative Imaging in Medicine and Surgery, vol. 15, no. 5, pp. 4204–4216, 2025.
[75] W. Liu, L. Zhang, X. Li, H. Liu, M. Feng, and Y. Li, "A semisupervised knowledge distillation model for lung nodule segmentation," Scientific Reports, vol. 15, no. 1, p. 10562, 2025.
[76] X. Lin, J. Wang, Q. Wang, Q. Yang, and Y. Li, "Multi-window uncertainty-guided network for lung nodule CT segmentation," Alexandria Engineering Journal, vol. 123, pp. 157–169, 2025.
[77] T. M. M. Aung and A. A. Khan, "Enhanced U-Net with attention mechanisms for improved feature representation in lung nodule segmentation," Current Medical Imaging, vol. 21, p. e15734056386382, 2025.
[78] J. Hou et al., "CAFU-Net: A context-aware feature aggregation network for lung nodule segmentation," IEEE Access, vol. 13, pp. 55815–55831, 2025.
[79] V. G. A. G. Vincy, H. Byeon, D. Mahajan, A. Tonk, and J. Sunil, "A 3D residual network-based approach for accurate lung nodule segmentation in CT images," Journal of Radiation Research and Applied Sciences, vol. 18, no. 2, p. 101407, 2025.
[80] T. Pham et al., "CAAF-ResUNet: Adaptive attention fusion with boundary-aware loss for lung nodule segmentation," Medicina, vol. 61, no. 7, p. 1126, 2025.
[81] M. A. Rahim, M. Awais, and M. Mahmud, "Few-shot joint segmentation and classification of lung nodules in CT with self-supervised correlation transformers," in Proc. IEEE/CVF Conf. Comput. Vis. Pattern Recognit. (CVPR), pp. 6328–6337, 2026.
[82] S. Prithvika, J. Anbarasi, and M. Narendra, "Leveraging multi-scale feature integration in UNet and FPN for semantic segmentation of lung nodules," Frontiers in Artificial Intelligence, vol. 8, p. 1682171, 2025.
[83] S. M. Turjya and M. Fawakherji, "Federated lung nodule segmentation using a hybrid transformer–U-Net architecture," Scientific Reports, vol. 16, no. 1, p. 5228, 2026.
[84] X. Niu, J. Zhang, Y. Bai, M. Gao, and X. Yang, "SAM-guided accurate pulmonary nodule image segmentation," IEEE Access, vol. 13, pp. 102994–103009, 2025.
[85] S. Raza, R. Zia, I. A. Usmani, N. A. Almujally, N. Alasbali, and M. Hanif, "Trans RCED-UNet3+: A hybrid CNN-transformer model for precise lung nodule segmentation," Frontiers in Oncology, vol. 15, p. 1654466, 2025.
[86] H. T. Gayap and M. A. Akhloufi, "Lung-mamba: Lung nodule segmentation model optimized by mamba's selective state spaces," Biomedical Engineering Advances, vol. 11, p. 100214, 2026.
[87] L. Fernandes, T. Pereira, and H. P. Oliveira, "A two-stage U-Net framework for interactive segmentation of lung nodules in CT scans," IEEE Access, vol. 13, pp. 77599–77610, 2025.
[88] L. Liu et al., "Small but strong: Lightweight architecture improves lung nodule detection and segmentation," Advanced Intelligent Systems, vol. 7, no. 12, p. e202401093, 2025.
[89] S. Nandini, M. Nagabushanam, Gavisiddappa, G. S. Nandeesh, and M. P. Sundaresha, "mU-Net-SAM-ENet: Efficient and interactive assistance in lung nodule segmentation," Journal of Artificial Intelligence and Technology, pp. 1–9, 2025.
[90] W. Liu, J. Sun, H. Li, Y. Wang, and Z. Wang, "CSEA-Net: A channel–spatial enhanced attention network for lung tumor segmentation on CT images," iScience, vol. 28, no. 3, p. 111974, 2025.
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