Abstract
The level set is a classical image segmentation method, but during the evolution of the level set, it can produce evolutionary problems such as local spikes and deep valleys, or overly flat regions, making the iterative process of final segmentation unstable and segmentation results inaccurate. In order to ensure the stability and validity of the level set evolution during the evolution process, the level set function must be periodically initialized so that the level set is always kept as a signed distance function. We construct a new distance regularization potential function based on logarithmic and power function and give a specific analysis. During the evolution process, the level set function always approximates the signed distance function, which is stable and efficient for level set image segmentation. Experimental analyses are conducted to compare the segmentation performance of various distance regularization potential functions when combining with the classical Chan Vese model.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Vese, L.A., Guyader, C.L.: Variational Methods in Image Processing, Chapman & Hall/CRC Mathematical and Computational Imaging Sciences Series. Taylor & Francis (2015)
Vinoth Kumar, B., Sabareeswaran, S., Madumitha, G.: A Decennary Survey on Artificial Intelligence Methods for Image Segmentation, (Springer Singapore, Singapore, 2020), pp. 291–311 (2020)
Zou, L., Song, L.T., Weise, T., Wang, X.F., Huang, Q.J., Deng, R., Wu, Z.Z.: A survey on regional level set image segmentation models based on the energy functional similarity measure. Neurocomputing (2020)
Li, C., Xu, C., Gui, C., Fox, M.D.: Level set evolution without re-initialization: A new variational formulation. In: Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 1, pp. 430–436 (2005)
Li, C., Xu, C., Gui, C., Fox, M.: Distance regularized level set evolution and its application to image segmentation. IEEE Trans. Image Process. 19, 3243–3254 (2010)
Zhang, K., Song, H., Zhang, L.: Active contours driven by local image fitting energy. Pattern Recogn. 43, 1199–1206 (2010)
Zhang, K., Zhang, L., Song, H., Zhang, D.: Reinitialization-free level set evolution via reaction diffusion. IEEE Trans. Image Process. 22, 258–271 (2013)
Li, M., Liu, L.: Forward-and-backward diffusion-based distance regularized model for image segmentation. Appl. Res. Comput. 33, 1596–1600 (2016)
Sun, L., Meng, X., Xu, J., Zhang, S.: An image segmentation method based on improved regularized level set model. Appl. Sci.-Basel. 8, 2393 (2018)
Wang, X., Min, H., Zou, L., Zhang, Y., Tang, Y., Philip Chen, C.: An efficient level set method based on multi-scale image segmentation and Hermite differential operator. Neurocomputing 188, 90–101 (2016)
Zou, L., et al.: Image segmentation based on local chan vese model by employing cosine fitting energy. In: Chinese Conference on Pattern Recognition 2018), pp. 466–478 (2018)
Cai, Q., Liu, H., Zhou, S., Sun, J., Li, J.: An adaptive-scale active contour model for inhomogeneous image segmentation and bias field estimation. Pattern Recogn. 82, 79–93 (2018)
Yu, H., He, F., Pan, Y.: A scalable region-based level set method using adaptive bilateral filter for noisy image segmentation. Multimed. Tools Appl. 79(9–10), 5743–5765 (2019). https://doi.org/10.1007/s11042-019-08493-1
Sun, C., Xu, Y., Bi, D., Wang, Y.: Distance regularized level set method using v-potential well function. Comput. Appl. Softw. 04, 277–280 (2013)
Wang, X., Shan, J., Niu, Y., Tan, L., Zhang, S.: Enhanced distance regularization for re-initialization free level set evolution with application to image segmentation. Neurocomputing 141, 223–235 (2014)
Weng, G., He, Z.: Active contour model based on adaptive sign function. J. Softw. 30, 3892–3906 (2019)
Xie, X.: Active contouring based on gradient vector interaction and constrained level set diffusion. IEEE Trans. Image Process. 19, 154–164 (2010)
Acknowledgements
The authors would like to express their thanks to the referees for their valuable suggestions. This work was supported in part by the grant of the National Natural Science Foundation of China, Nos. 61672204 and 61806068, in part by the grant of Anhui Provincial Natural Science Foundation, Nos. 1908085MF184, 1908085QF285, in part by the Key Research Plan of Anhui Province, No. 201904d07020002.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 Springer Nature Switzerland AG
About this paper
Cite this paper
Zou, L., Huang, QJ., Wu, ZZ., Song, LT., Wang, XF. (2021). A Robust Distance Regularized Potential Function for Level Set Image Segmentation. In: Huang, DS., Jo, KH., Li, J., Gribova, V., Bevilacqua, V. (eds) Intelligent Computing Theories and Application. ICIC 2021. Lecture Notes in Computer Science(), vol 12836. Springer, Cham. https://doi.org/10.1007/978-3-030-84522-3_45
Download citation
DOI: https://doi.org/10.1007/978-3-030-84522-3_45
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-84521-6
Online ISBN: 978-3-030-84522-3
eBook Packages: Computer ScienceComputer Science (R0)