Abstract
Color images play an essential role in computer vision systems where colors are useful information. Extraction of color images features is the backbone of many pattern recognition and image processing applications such classification of color images, color image retrieval, color image watermarking and template matching. Moments and moment invariants are widely used as global and local features for gray images. Quaternion moments are used in representation of color images. In this chapter, an overview of quaternion moments and their rotation, scaling and translation invariants is given. A series of numerical experiments are performed using different parameters to assess the performance of extracted features using different quaternion moments.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Papakostas, G.A.: Over 50 years of image moments and moment invariants. Sci. Gate Publ. 1, 332 (2014)
Upneja, R., Pawlak, M., Sahanb, A.M.: An accurate approach for the computation of polar harmonic transforms. Optik 158, 623–633 (2018)
Hu, M.K.: Visual pattern recognition by moment invariants. IRE Trans. Inf. Theory 8(2), 179–187 (1962)
Teague, M.R.: Image analysis via the general theory of moments. J. Opt. Soc. Am. A 70(8), 920–930 (1980)
Flusser, J., Suk, T., Zitov, B.: 2D and 3D image analysis by moments. Wiley Ltd (2017)
Wang, X., Xiao, B., Ma, J.F., Bi, X.L.: Scaling and rotation invariant analysis approach to object recognition based on Radon and Fourier Mellin transforms. Pattern Recogn. 40, 3503–3508 (2007)
Yap, P.T., Paramesran, R., Ong, S.H.: Image analysis using Hahn moments. IEEE Trans. Pattern Anal. Mach. Intell. 29(11), 2057–2062 (2007)
Hosny, K.M.: Image representation using accurate orthogonal Gegenbauer moments. Pattern Recogn. Lett. 32(6), 795–804 (2011)
Flusser, J.: Pattern recognition by affine moment invariants. Pattern Recogn. 26, 167–174 (1993)
Kan, C., Srinath, M.D.: Invariant character recognition with Zernike and orthogonal Fourier-Mellin moments. Pattern Recogn. 35, 143–154 (2002)
Sheng, Y.L., Shen, L.X.: Orthogonal Fourier-Mellin moments for invariant pattern recognition. J. Opt. Soc. Am. A 11(6), 1748–1757 (1994)
Pang, Y.H., Teoh, A.B.J., Ngo, D.C.L.: A discriminant pseudo-Zernike moments in face recognition. J. Res. Pract. Inf. Technol. 38(2), 197–211 (2006)
Choi, M., Kim, W.: A novel two stage template matching method for rotation and illumination invariance. Pattern Recogn. 35, 119–129 (2002)
Hosny, K.M.: Robust template matching using orthogonal legendre moment invariants. J. Comput. Sci. 6(10), 1054–1058 (2010)
Kumar, Y., Aggarwal, A., Tiwari, S., Singh, K.: An efficient and robust approach for biomedical image retrieval using Zernike moments. Biomed. Sig. Process. Control 39, 459–473 (2018)
Ismail, I.A., Shuman, M.A., Hosny, K.M., Abdel Salam, H.M.: Invariant image watermarking using accurate Zernike moments. J. Comput. Sci. 6(1), 52–59 (2010)
Tsougenis, E.D., Papakostas, G.A., Koulouriotis, D.E., Tourassis, V.D.: Towards Adaptivity of image watermarking in polar harmonic transforms domain. Opt. Laser Technol. 54, 84–97 (2013)
Hosny, K.M., Darwish, M.M.: Invariant image watermarking using accurate Polar Harmonic transforms. Comput. Electr. Eng. 62, 429–447 (2017)
Mindru, F., Tuytelaars, T., Van Gool, L., Moons, T.: Moment invariants for recognition under changing view point and illumination. Comput. Vis. Image Underst. 94, 3–27 (2004)
Suk T, Flusser J. Affine moment invariants of color images. In: International Conference on Computer Analysis of Images and Patterns, CAIP 2009, vol. 5702, pp. 334–341 (2009)
Hamilton, W.R.: Elements of Quaternions. Longmans Green, London, United Kingdom (1866)
Ell, T.A., Sangwine, S.J.: Hypercomplex Fourier transforms of color images. IEEE Trans. Image Process. 16, 22–35 (2007)
Guo, L., Zhu, M.: Quaternion Fourier-Mellin moments for color images. Pattern Recogn. 44(2), 187–195 (2011)
Chen, B.J., Shu, H.Z., Zhang, H., Chen, G., Toumoulin, C., Dillenseger, J.L., Luo, L.M.: Quaternion Zernike moments and their invariants for color image analysis and object recognition. Sig. Process. 92(2), 308–318 (2012)
Chen, B.J., Xingming, S., Wang, D., Zhao, X.: Color face recognition using quaternion representation of color image. Acta Autom. Sinica 38(11), 1815–1823 (2012)
Wang, X., Li, W., Yang, H., Niu, P., Li, Y.: Invariant quaternion radial harmonic Fourier moments for color image retrieval. Opt. Laser Technol. 66, 78–88 (2015)
Li, Y.N.: Quaternion polar harmonic transforms for color images. IEEE Sig. Process. Lett. 20(8), 803–806 (2013)
Wang, X., Li, W., Yang, H., Wang, P., Li, Y.: Quaternion polar complex exponential transform for invariant color image description. Appl. Math. Comput. 256, 951–967 (2015)
Yang, H., Lian, L., Li, Y., Wang, X.: Quaternion exponent moments and their invariants for color image. Fundam. Inf. 145, 189–205 (2016)
Camacho-Bello, C., Bez-Rojas, J.J., Toxqui-Quitl, C., Padilla-Vivanco, A.: Color image reconstruction using quaternion Legendre-Fourier moments in polar pixels. In: International Conference on Mechatronics, Electronics and Automotive Engineering (2014)
Hosny, K.M., Darwish, M.M.: Robust color image watermarking using invariant quaternion Legendre-Fourier moments. Multimed. Tools Appl. 1–15 (2018)
Hosny, K.M., Darwish, M.M.: New set of quaternion moments for color images representation and recognition. J. Math. Imaging Vis. 1–19 (2018)
Karakasis, E., Papakostas, G., Koulouriotis, D., Tourassis, V.: A unified methodology for computing accurate quaternion color moments and moment invariants. IEEE Trans. Image Process. 23, 596–611 (2014)
Hosny, K.M., Darwish, M.M.: Accurate computation of quaternion polar complex exponential transform for color images in different coordinate systems. J. Electr. Imaging 26(2), 023021 (2017)
Hosny, K.M., Darwish, M.M.: Highly accurate and numerically stable higher order QPCET moments for color image representation. Pattern Recogn. Lett. 97, 29–36 (2017)
Xin, Y., Pawlak, M., Liao, S.: Accurate computation of Zernike moments in polar coordinates. IEEE Trans. Image Process. 16(2), 581–587 (2007)
Hosny, K.M.: Accurate orthogonal circular moment invariants of gray-level images. J. Comput. Sci. 7(5), 715–722 (2011)
Hosny, K.M., Shouman, M.A., Abdel-Salam, H.M.: Fast computation of orthogonal Fourier-Mellin moments in polar coordinates. J. Real-Time Image Process. 6(2), 73–80 (2011)
Hosny, K.M., Darwish, M.M.: A kernel-based method for Fast and accurate computation of PHT in polar coordinates. J. Real-Time Image Process. 1–13 (2016)
Harris, J.W., Stocker, H.: Handbook of Mathematics and Computational Sciences. Springer, NewYork (1998)
Nene, S.A., Nayar, S.K., Murase, H.: Columbia object image library (COIL-100). Technical Report CUCS-006-96 (1996)
Nilsback, M., Zisserman, A.: Delving deeper into the whorl of flower segmentation. Image Vis. Comput. 28(6), 1049–1062 (2010)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Hosny, K.M., Darwish, M.M. (2019). Feature Extraction of Color Images Using Quaternion Moments. In: Hassaballah, M., Hosny, K. (eds) Recent Advances in Computer Vision. Studies in Computational Intelligence, vol 804. Springer, Cham. https://doi.org/10.1007/978-3-030-03000-1_6
Download citation
DOI: https://doi.org/10.1007/978-3-030-03000-1_6
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-02999-9
Online ISBN: 978-3-030-03000-1
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)