Abstract
Ultrasound imaging is one of the most widely used biomedical imaging modality for diagnostic purposes. Ultrasound image segmentation is an important step in order to achieve efficient qualitative measures, such as location of relevant structures, and quantitative measures, such as area of the structures for further analysis. However, segmentation of ultrasound images is considered a challenging task owing to its poor quality. Moreover, segmentation using global image statistics results in unsatisfactory results, making it difficult to use for further processing. In this study, we formulate a scheme to achieve successful segmentation of real time ultrasound images. The proposed method makes use of local statistics of the image in order to perform efficient segmentation. It considers histogram-based thresholding by making use of recursive minimum cross entropy on statistical properties (image integral and image gradient) derived from the instantaneous coefficient of variation images. To validate its excellence, results of the proposed method have been analysed by an expert and compared with some state-of-the-art methods. Results reveal that the proposed technique outperforms other techniques visually as well as quantitatively by an average of 13.67%. Thus, the technique is effective in segmenting ultrasound images efficiently by removing redundant information and leaving relevant information intact.
Similar content being viewed by others
References
Bedi AK, Sunkaria RK (2021) Mean distance local binary pattern: a novel technique for color and texture image retrieval for liver ultrasound images. Multimed Tools Appl:1–30
Boukerroui D (2016) Local statistical models for ultrasound image segmentation
Brink AD, Pendock NE (1996) Minimum cross entropy threshold selection. Pattern Recogn 29(1):179–188
Burckhardt CB (1978) Speckle in ultrasound B-mode scans. IEEE Transactions on Sonics and ultrasonics 25(1):1–6
Cerrolaza JJ, Safdar N, Biggs E, Jago J, Peters CA, Linguraru MG (2016) Renal segmentation from 3D ultrasound via fuzzy appearance models and patient-specific alpha shapes. IEEE Trans Med Imaging 35(11):2393–2402
Chen CM, Lu HHS, Huang YS (2002) Cell-based dual snake model: a new approach to extracting highly winding boundaries in the ultrasound images. Ultrasound Med Biol 28(8):1061–1073
Chen MF, Zhu HS, Zhu HJ (2013) Segmentation of liver in ultrasonic images applying local optimal threshold method. The Imaging Science Journal 61(7):579–591
Hammouche K, Diaf M, Siarry P (2008) A multilevel automatic thresholding method based on a genetic algorithm for a fast image segmentation. Comput Vis Image Underst 109(2):163–175
Hermawati FA, Tjandrasa H, Suciati N (2021) Phase-based thresholding schemes for segmentation of fetal thigh cross-sectional region in ultrasound images. Journal of King Saud University-Computer and Information Sciences
Horng MH, Liou RJ (2011) Multilevel minimum cross entropy threshold selection based on the firefly algorithm. Expert Syst Appl 38(12):14805–14811
Jaynes ET (1957) Information theory and statistical mechanics. Phys Rev 106(4):620
Kapur JN, Sahoo PK, Wong AK (1985) A new method for gray-level picture thresholding using the entropy of the histogram. Computer Vision, Graphics, and Image Processing 29(3):273–285
Kittler J, Illingworth J (1986) Minimum error thresholding. Pattern Recogn 19(1):41–47
Kullback S (1968) Information theory and statistics. Dover, New York
Kumar S, Kumar P, Sharma TK, Pant M (2013) Bi-level thresholding using PSO, artificial bee colony and MRLDE embedded with Otsu method. Memetic Computing 5(4):323–334
Kurban T, Civicioglu P, Kurban R, Besdok E (2014) Comparison of evolutionary and swarm based computational techniques for multilevel color image thresholding. Appl Soft Comput 23:128–143
Lee WL, Chen YC, Chen YC, Hsieh KS (2005) Unsupervised segmentation of ultrasonic liver images by multiresolution fractal feature vector. Inf Sci 175(3):177–199
Li CH, Lee CK (1993) Minimum cross entropy thresholding. Pattern Recogn 26(4):617–625
Li G, Zhao Y, Zhang L, Wang X, Zhang Y, Guo F (2019) Entropy-based global and local weight adaptive image segmentation models. Tsinghua Sci Technol 25(1):149–160
Liao X, Li K, Yin J (2017) Separable data hiding in encrypted image based on compressive sensing and discrete fourier transform. Multimed Tools Appl 76(20):20739–20753
Liao X, Yu Y, Li B, Li Z, Qin Z (2019) A new payload partition strategy in color image steganography. IEEE Transactions on Circuits and Systems for Video Technology 30(3):685–696
Liao X, Yin J, Chen M, Qin Z (2020) Adaptive payload distribution in multiple images steganography based on image texture features. IEEE Transactions on Dependable and Secure Computing
Martın-Fernández M, Alberola-Lopez C (2005) An approach for contour detection of human kidneys from ultrasound images using Markov random fields and active contours. Med Image Anal 9(1):1–23
Otsu N (1979) A threshold selection method from gray-level histograms. IEEE Transactions on Systems, Man, and Cybernetics 9(1):62–66
Slabaugh G, Unal G, Wels M, Fang T, Rao B (2009) Statistical region-based segmentation of ultrasound images. Ultrasound Med Biol 35(5):781–795
Smeets D, Loeckx D, Stijnen B, De Dobbelaer B, Vandermeulen D, Suetens P (2010) Semi-automatic level set segmentation of liver tumors combining a spiral-scanning technique with supervised fuzzy pixel classification. Med Image Anal 14(1):13–20
Sree SJ, Kiruthika V, Vasanthanayaki C (1916) Texture based clustering technique for fetal ultrasound image segmentation. J Phys Conf Ser 2021(1)
Tan KS, Isa NAM (2011) Color image segmentation using histogram thresholding–fuzzy C-means hybrid approach. Pattern Recogn 44(1):1–15
Tang K, Yuan X, Sun T, Yang J, Gao S (2011) An improved scheme for minimum cross entropy threshold selection based on genetic algorithm. Knowl-Based Syst 24(8):1131–1138
Viola P, Jones M (2001) Rapid object detection using a boosted Cascade of simple features. In: In proceedings of the 2001 IEEE computer society conference on computer vision and pattern recognition. CVPR 2001, USA
Virmani J, Kumar V, Kalra N, Khandelwal N (2013) SVM-based characterization of liver ultrasound images using wavelet packet texture descriptors. Journal of Digital Imaging 26(3):530–543
Xiao G, Brady M, Noble JA, Zhang Y (2002) Segmentation of ultrasound B-mode images with intensity inhomogeneity correction. IEEE Trans Med Imaging 21(1):48–57
Xie J, Jiang Y, Tsui HT (2005) Segmentation of kidney from ultrasound images based on texture and shape priors. IEEE Trans Med Imaging 24(1):45–57
Yang W, Cai L, Wu F (2020) Image segmentation based on gray level and local relative entropy two dimensional histogram. PLoS One 15(3)
Yin PY (2007) Multilevel minimum cross entropy threshold selection based on particle swarm optimization. Appl Math Comput 184(2):503–513
Yoshida H, Keserci B, Casalino DD, Coskun A, Ozturk O, Savranlar A (1998) Segmentation of liver tumors in ultrasound images based on scale-space analysis of the continuous wavelet transform. In: 1998 IEEE Ultrasonics Symposium Proceedings
Yu Y, Acton ST (2004) Edge detection in ultrasound imagery using the instantaneous coefficient of variation. IEEE Trans Image Process 13(12):1640–1655
YÜksel ME, Borlu M (2009) Accurate segmentation of dermoscopic images by image thresholding based on type-2 fuzzy logic. IEEE Trans Fuzzy Syst 17(4):976–982
Zheng X, Ye H, Tang Y (2017, 5) Image bi-level thresholding based on gray level-local variance histogram 19
Zhou S, Wang J, Zhang M, Cai Q, Gong Y (2017) Correntropy-based level set method for medical image segmentation and bias correction. Neurocomputing. 234:216–229
Zimmer Y, Tepper R, Akselrod S (1996) A two-dimensional extension of minimum cross entropy thresholding for the segmentation of ultrasound images. Ultrasound Med Biol 22(9):1183–1190
Zong JJ, Qiu TS, Li WD, Guo DM (2019) Automatic ultrasound image segmentation based on local entropy and active contour model. Computers & Mathematics with Applications 78(3):929–943
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
Authors Anterpreet Kaur Bedi and Ramesh Kumar Sunkaria declare that they have no conflict of interest.
Additional information
Publisher’s note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Bedi, A.K., Sunkaria, R.K. Statistical recursive minimum cross entropy for ultrasound image segmentation. Multimed Tools Appl 81, 7873–7893 (2022). https://doi.org/10.1007/s11042-022-12050-8
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11042-022-12050-8