Active Contour Model for Vector-Valued Intensity Inhomogeneity Images Corrupted by a Mixture of Additive Gaussian and Multiplicative Gamma Noise

Authors

  • Nurhuda Ismail Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Shah Alam, Selangor, Malaysia
  • Abdul Kadir Jumaat Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Shah Alam, Selangor, Malaysia
  • Rizauddin Saian Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Perlis Branch, Arau Campus, Perlis, Malaysia
  • Akmal Shafiq Badarul Azam Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Sarawak Branch, Mukah Campus, Sarawak, Malaysia
  • Noor Ain Syazwani Mohd Ghani Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Shah Alam, Selangor, Malaysia

DOI:

https://doi.org/10.32890/jict2026.25.3.4

Keywords:

Active contour model, additive Gaussian multiplicative Gamma noise, image segmentation, intensity inhomogeneity

Abstract

Most of the image processing research has demonstrated the exceptional suitability of Active Contour Models (ACMs) concerning image segmentation models in image analysis as well as computer vision tasks. However, noise and intensity inhomogeneity in the vector-valued or colour images may compromise image quality and impact the results of segmentation. Most often, images are disrupted by mixed noise. To date, no existing research has addressed image segmentation under a combination of two noise types: Additive Gaussian and Multiplicative Gamma (AGMG). Thus, to fill this gap, this research proposes a variational ACM for segmenting vector-valued intensity inhomogeneity images distracted by mixed AGMG noise. Correspondingly, we developed our model by integrating dual denoising terms to reduce mixed noise and the term of optimized Laplacian of Gaussian (LoG) to recover homogeneous regions. As such, the solution to the suggested model involves minimization techniques, which are the Calculus of Variations as well as the finite difference approach. Concurrently, the models’ performance, including the proposed as well as comparative models, will be assessed under low, moderate, severe, and very severe noise. As a result, the average values of the suggested framework, namely the Dice Similarity Coefficient (DSC), Jaccard Similarity Coefficient (JSC), as well as accuracy metric, were 3.29%, 1.796%, and 1.374% higher, respectively, than those of the compared models. Overall, this highlights the accuracy of our suggested model in addressing colour intensity inhomogeneity images with mixed AGMG noise for segmentation.

References

Ali, H., Rada, L., & Badshah, N. (2018). Image segmentation for intensity inhomogeneity in presence of high noise. IEEE Transactions on Image Processing, 27(8), 3729–3738. https://doi.org/10.1109/TIP.2018.2825101

Ali, S. N., & Hasan, T. (2026). Phi-SegNet: Phase-integrated supervision for medical image segmentation. IEEE Transactions on Medical Imaging, 61(11), 1–10. http://arxiv.org/abs/ 2601.16064

Anter, A. M., & Abualigah, L. (2023). Deep federated machine learning-based optimization methods for liver tumor diagnosis: A review. Archives of Computational Methods in Engineering, 30(5), 3359–3378. https://doi.org/10.1007/s11831-023-09901-4

Ataş, İ. (2023). Performance evaluation of jaccard-dice coefficient on building segmentation from high resolution satellite images. Balkan Journal of Electrical and Computer Engineering, 11(1), 100–106. https://doi.org/10.17694/bajece.1212563

Aubert, G., & Aujol, J.-F. (2008). A variational approach to removing multiplicative noise. SIAM Journal on Applied Mathematics, 68(4), 925–946. https://doi.org/10.1137/060671814

Azam, A. S. B., Jumaat, A. K., & Ibrahim, S. (2023). Comparison of various colorization techniques for MRI brain tumor segmentation using convolutional neural networks. 8th International Conference on Recent Advances and Innovations in Engineering: Empowering Computing, Analytics, and Engineering through Digital Innovation, ICRAIE 2023. https://doi.org/10.1109/

ICRAIE59459.2023.10468529

Badrinarayanan, V., Handa, A., & Cipolla, R. (2017). SegNet: A deep convolutional encoder-decoder architecture for image segmentation. IEEE Transactions on Pattern Analysis and Machine Intelligence, 39(12), 2481–2495. http://arxiv.org/abs/1505.07293

Badshah, N., Rabbani, H., & Atta, H. (2020). On local active contour model for automatic detection of tumor in MRI and mammogram images. Biomedical Signal Processing and Control, 60, 101993. https://doi.org/10.1016/j.bspc.2020.101993

Badshah, N., Ullah, F., & Matiullah. (2018). On segmentation model for vector valued images and fast iterative solvers. Advances in Difference Equations, 2018(1), 221. https://doi.org/10.1186/ s13662-018-1669-9

Bougourzi, F., Dornaika, F., & Hadid, A. (2026). Decoding matters: Efficient mamba-based decoder with distribution-aware deep supervision for medical image segmentation. arXiv preprint. http://arxiv.org/abs/2603.12547

Caselles, V. (1995). Geometric models for active contours. Proceedings of the International Conference on Image Processing, 3, 9–12. https://doi.org/10.1109/ICIP.1995.537567

Chan, T. F., & Vese, L. A. (2001). Active contours without edges. IEEE Transactions on Image Processing, 10(2), 266–277. https://doi.org/10.1109/83.902291

Chan, T. F., Yezrielev Sandberg, B., & Vese, L. A. (2000). Active contours without edges for vectorvalued images. Journal of Visual Communication and Image Representation, 11(2), 130–141. https://doi.org/10.1006/jvci.1999.0442 Chen, M.-Y., Yang, Y.-H., Ho, C.-J., Wang, S.-H., Liu, S.-M., Chang, E., Yeh, C.-H., & Ouhyoung,

M. (2012). Automatic Chinese food identification and quantity estimation. SIGGRAPH Asia 2012 Technical Briefs, 1–4. https://doi.org/10.1145/2407746.2407775

Chithra, K., & Santhanam, T. (2018). A novel denoising technique for mixed noise removal from grayscale and color images. Journal of Theoretical and Applied Information Technology, 96(3), 626–642.

Chumchob, N., Chen, K., & Brito-Loeza, C. (2013). A new variational model for removal of combined additive and multiplicative noise and a fast algorithm for its numerical approximation. International Journal of Computer Mathematics, 90(1), 140–161. https://doi.org/10.1080/ 00207160.2012.709625 Dalavai, L., Purimetla, N. M., Roja, D., Vellela, S. S., Syamsundararao, T., Vuyyuru, L. R., & Kumar,

K. K. (2024). Improving deep learning-based image classification through noise reduction and feature enhancement. 2024 International Conference on Artificial Intelligence and Quantum Computation-Based Sensor Applications, ICAIQSA 2024 - Proceedings. https://doi.org/10. 1109/ICAIQSA64000.2024.10882201

Ding, K., & Weng, G. (2017). Improved region-scalable fitting model with robust initialization for image segmentation. 2017 IEEE 2nd International Conference on Signal and Image Processing, 111–115. https://doi.org/10.1109/SIPROCESS.2017.8124516

Ding, K., Xiao, L., & Weng, G. (2017). Active contours driven by region-scalable fitting and optimized Laplacian of Gaussian energy for image segmentation. Signal Processing, 134, 224–233. https://doi.org/10.1016/j.sigpro.2016.12.021

Fang, J., Liu, H., Zhang, L., Liu, J., & Liu, H. (2019). Fuzzy region-based active contours driven by weighting global and local fitting energy. IEEE Access, 7, 184518–184536. https://doi.org/10. 1109/ACCESS.2019.2909981

He, C., Wang, Y., & Chen, Q. (2012). Active contours driven by weighted region-scalable fitting energy based on local entropy. Signal Processing, 92(2), 587–600. https://doi.org/10.1016/j.sigpro. 2011.09.004

Hossin, M., & Sulaiman, M. N. (2015). A review on evaluation metrics for data classification evaluations. International Journal of Data Mining & Knowledge Management Process, 5(2), 1–11. https://doi.org/10.5121/ijdkp.2015.5201

Isensee, F., Jaeger, P. F., Kohl, S. A. A., Petersen, J., & Maier-Hein, K. H. (2021). nnU-Net: A selfconfiguring method for deep learning-based biomedical image segmentation. Nature Methods, 18(2). https://doi.org/10.1038/s41592-020-01008-z

Kass, M., Witkin, A., & Terzopoulos, D. (1988). Snakes: Active contour models. International Journal of Computer Vision, 1(4), 321–331. https://doi.org/10.1007/BF00133570

Kollem, S., Reddy, K. R. L., & Rao, D. S. (2019). A review of image denoising and segmentation methods based on medical images. International Journal of Machine Learning and Computing, 9(3), 288–295. https://doi.org/10.18178/ijmlc.2019.9.3.800

Lankton, S., & Tannenbaum, A. (2008). Localizing region-based active contours. IEEE Transactions on Image Processing, 17(11), 2029–2039. https://doi.org/10.1109/TIP.2008.2004611

Li, C., & Fan, Q. (2018). A modified variational model for restoring blurred images with additive noise and multiplicative noise. Circuits, Systems, and Signal Processing, 37, 2511–2534. https://doi.org/10.1007/s00034-017-0675-6

Li, C., Kao, C. Y., Gore, J. C., & Ding, Z. (2007). Implicit active contours driven by local binary fitting energy. Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 1–7. https://doi.org/10.1109/CVPR.2007.383014

Li, C., Kao, C. Y., Gore, J. C., & Ding, Z. (2008). Minimization of region-scalable fitting energy for image segmentation. IEEE Transactions on Image Processing, 17(10), 1940–1949. https://doi.org/10.1109/TIP.2008.2002304

Li, C., Xu, C., Gui, C., & Fox, M. D. (2005). Level set evolution without re-initialization: A new variational formulation. Proceedings - 2005 IEEE Computer Society Conference on Computer

Vision and Pattern Recognition, CVPR 2005, 430–436. https://doi.org/10.1109/CVPR. 2005.213

Li, J., Xia, C., & Chen, X. (2018). A benchmark dataset and saliency-guided stacked autoencoders for video-based salient object detection. IEEE Transactions on Image Processing, 27(1), 349–364. https://doi.org/10.1109/TIP.2017.2762594 Litjens, G., Kooi, T., Bejnordi, B. E., Setio, A. A. A., Ciompi, F., Ghafoorian, M., Van Der Laak, J. A.,

Van Ginneken, B., & Sánchez, C. I. (2017). A survey on deep learning in medical image analysis. Medical Image Analysis, 42, 60–88. https://doi.org/10.1016/j.media.2017.07.005

Liu, C., Ng, M. K. P., & Zeng, T. (2018). Weighted variational model for selective image segmentation with application to medical images. Pattern Recognition, 76, 367–379. https://doi.org/10. 1016/j.patcog.2017.11.019

Liu, X., Song, L., Liu, S., & Zhang, Y. (2021). A review of deep-learning-based medical image segmentation methods. Sustainability, 13(3), 1–29. https://doi.org/10.3390/su13031224 Mabood, L., Badshah, N., Ali, H., Zakarya, M., Ahmed, A., Khan, A. A., Rada, L., & Haleem, M. (2022). Multi-scale-average-filter-assisted level set segmentation model with local region restoration achievements. Scientific Reports, 12(1), 15949. https://doi.org/10.1038/s41598022-19893-z

Malladi, R., Sethian, J. A., & Vemuri, B. C. (1995). Shape modeling with front propagation: A level set approach. IEEE Transactions on Pattern Analysis and Machine Intelligence, 17(2), 158–175. https://doi.org/10.1109/34.368173

Mazlin, M. S., Jumaat, A. K., & Embong, R. (2023). Absorbing markov chain saliency driven active contour model for digital image boundary extraction. ESTEEM Academic Journal, 19, 86–98.

Minaee, S., Boykov, Y., Porikli, F., Plaza, A., Kehtarnavaz, N., & Terzopoulos, D. (2022). Image segmentation using deep learning: A Survey. IEEE Transactions on Pattern Analysis and Machine Intelligence, 44(7). https://doi.org/10.1109/TPAMI.2021.3059968

Noguerol, T. M., Paulano-Godino, F., Martín-Valdivia, M. T., Menias, C. O., & Luna, A. (2019). Strengths, weaknesses, opportunities, and threats analysis of artificial intelligence and machine learning applications in radiology. Journal of the American College of Radiology, 16(9), 1239–1247. https://doi.org/10.1016/j.jacr.2019.05.047

Othman, M., Abdullah, S. L. S., Ahmad, K. A., Abu Bakar, M. N., & Mansor, A. R. (2016). The fusion of edge detection and mathematical morphology algorithm for shape boundary recognition. Journal of Information and Communication Technology, 15(1), 133–144. https://doi.org/10. 32890/jict2016.15.1.6

Pandit, S. (2022). Flower recognition dataset. Kaggle. https://www.kaggle.com/datasets/shrutipandit 707/flowerrecognitiondataset

Pathak, S., & Sejwar, V. (2017). Optimized noisy image segmentation using genetic algorithm. Proceedings of the 2017 International Conference on Intelligent Computing and Control

Systems, ICICCS 2017, 1311–1316. https://doi.org/10.1109/ICCONS.2017.8250681

Patil, R. V., & Aggarwal, R. (2024). Edge information based seed placement guidance to single seeded region growing algorithm. International Journal of Intelligent Systems and Applications in Engineering, 12(12s), 753–759. https://doi.org/10.17762/ijritcc.v11i9.9760

Ronneberger, O., Fischer, P., & Brox, T. (2015). U-Net: Convolutional networks for biomedical image segmentation. Lecture Notes in Computer Science (LNIP), 9351, 234–241. https://doi.org/10.1007/978-3-319-24574-4_28

Rudin, L. I., Osher, S., & Fatemi, E. (1992). Nonlinear total variation based noise removal algorithms. Physica D: Nonlinear Phenomena, 60(1–4), 259–268. https://doi.org/10.1016/0167-2789(92) 90242-F

Tian, Y., & Xue, Y. (2020). Variation method overview of image segmentation. Journal of Physics: Conference Series, 1487(1), 1–7. https://doi.org/10.1088/1742-6596/1487/1/012012

Tsai, A., Yezzi, A., & Willsky, A. S. (2001). Curve evolution implementation of the Mumford-Shah functional for image segmentation, denoising, interpolation, and magnification. IEEE Transactions on Image Processing, 10(8), 1169–1186. https://doi.org/10.1109/83.935033

Veesam, V. S., & Babu, B. S. (2017). A relative study on the segmentation techniques of image processing. International Journal of Computer Engineering in Research Trends, 4(5), 2349–7084. www.ijcert.org

Vese, L. A., & Chan, T. F. (2002). A multiphase level set framework for image segmentation using the Mumford and Shah model. International Journal of Computer Vision, 50(3), 271–293. https://doi.org/10.1023/A:1020874308076

Wang, F., Huang, H., & Liu, J. (2020). Variational-based mixed noise removal with CNN deep learning regularization. IEEE Transactions on Image Processing, 29, 1246–1258. https://doi.org/10. 1109/TIP.2019.2940496

Wang, J., Markert, K., & Everingham, M. (2009). Learning models for object recognition from natural language descriptions. British Machine Vision Conference, BMVC 2009 - Proceedings, 1–11. https://doi.org/10.5244/C.23.2

Wu, D., & Yuan, C. (2022). Threshold image segmentation based on improved sparrow search algorithm. Multimedia Tools and Applications, 81(23), 33513–33546. https://doi.org/10.1007/ s11042-022-13073-x

Yousaf, N., Amin, J., Butt, W. H., Zafar, A., & Kim, S. (2026). Advanced hybrid transformer CNN framework for improved skin lesion classification and segmentation. Scientific Reports. https://doi.org/10.1038/s41598-026-43376-0

Yu, H., He, F., & Pan, Y. (2020). A scalable region-based level set method using adaptive bilateral filter for noisy image segmentation. Multimedia Tools and Applications, 79(9–10), 5743–5765. https://doi.org/10.1007/s11042-019-08493-1

Yuzhenlu. (2022). PlantSegDatasets. Kaggle. https://www.kaggle.com/datasets/yuzhenlu/plantseg datasets/data

Zhang, H., Tang, L., & He, C. (2019). A variational level set model for multiscale image segmentation. Information Sciences, 493, 152–175. https://doi.org/10.1016/j.ins.2019.04.04

Zhang, K., Song, H., & Zhang, L. (2010). Active contours driven by local image fitting energy. Pattern Recognition, 43(4), 1199–1206. https://doi.org/10.1016/j.patcog.2009.10.010

Zhao, C., Liu, J., & Zhang, J. (2021). A dual model for restoring images corrupted by mixture of additive and multiplicative noise. IEEE Access, 9, 168869–168888. https://doi.org/10.1109/access.2021. 3137995

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Published

31-07-2026

How to Cite

Ismail, N., Jumaat, A. K., Saian, R., Badarul Azam, A. S., & Mohd Ghani, N. A. S. (2026). Active Contour Model for Vector-Valued Intensity Inhomogeneity Images Corrupted by a Mixture of Additive Gaussian and Multiplicative Gamma Noise. Journal of Information and Communication Technology, 25(3), 64-97. https://doi.org/10.32890/jict2026.25.3.4

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Identifiers DOI 10.32890/jict2026.25.3.4 OpenAlex W7172077830

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