Skip to main content
Erschienen in: Quantum Information Processing 1/2021

01.01.2021

Quantum image edge detection using improved Sobel mask based on NEQR

verfasst von: R. Chetia, S. M. B. Boruah, P. P. Sahu

Erschienen in: Quantum Information Processing | Ausgabe 1/2021

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Recently, image edge detection using quantum image processing has focused due to having less circuit complexity and storage capacity. Edge extraction using the Sobel operator has the restriction in vertical and horizontal directions, which provides less edge information. In this paper, we introduce a quantum improved Sobel edge detection algorithm with non-maximum suppression and double threshold techniques for novel enhanced quantum representation method. We have analyzed the quantum circuit of realizing the edge detection algorithm, the number of edge pixels, simulation results, and circuit complexity. Thereafter, we have compared with the classical and some existing quantum edge detection algorithms. Our proposed algorithm can achieve a significant improvement in the case of edge information and circuit complexity.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Anhänge
Nur mit Berechtigung zugänglich
Literatur
1.
Zurück zum Zitat Yan, F., Iliyasu, A.M., Le, P.Q.: Quantum image processing: a review of advances in its security technologies. Int. J. Quantum Inf. 15(03), 1730001 (2017)MathSciNetCrossRef Yan, F., Iliyasu, A.M., Le, P.Q.: Quantum image processing: a review of advances in its security technologies. Int. J. Quantum Inf. 15(03), 1730001 (2017)MathSciNetCrossRef
3.
Zurück zum Zitat Iliyasu, A.M.: Towards the realization of secure and efficient image and video processing applications on quantum computers. Entropy 15, 2874–2974 (2013)ADSMathSciNetCrossRef Iliyasu, A.M.: Towards the realization of secure and efficient image and video processing applications on quantum computers. Entropy 15, 2874–2974 (2013)ADSMathSciNetCrossRef
4.
Zurück zum Zitat Iliyasu, A.M.: Algorithmic frameworks to support the realization of secure and efficient image-video processing applications on quantum computers. Ph. D. (Dr Eng.) Thesis, Tokyo Institute of Technology, Tokyo, Japan. 25 Sept. 2012 (2012) Iliyasu, A.M.: Algorithmic frameworks to support the realization of secure and efficient image-video processing applications on quantum computers. Ph. D. (Dr Eng.) Thesis, Tokyo Institute of Technology, Tokyo, Japan. 25 Sept. 2012 (2012)
5.
Zurück zum Zitat Iliyasu, A.M., Le, P.Q., Yan, F., Bo, S., Garcia, J.A.S., Dong, F., Hirota, K.: A two-tier scheme for grayscale quantum image watermarking and recovery. Int. J. Innov. Comput. Appl. 5, 85–101 (2013)CrossRef Iliyasu, A.M., Le, P.Q., Yan, F., Bo, S., Garcia, J.A.S., Dong, F., Hirota, K.: A two-tier scheme for grayscale quantum image watermarking and recovery. Int. J. Innov. Comput. Appl. 5, 85–101 (2013)CrossRef
6.
Zurück zum Zitat Tseng, C.C., Hwang, T.M.: Quantum digital image processing algorithms. In: Proceedings of the 16th IPPR Conference on Computer Vision, Graphics and Image Processing, pp. 827–834 (2003) Tseng, C.C., Hwang, T.M.: Quantum digital image processing algorithms. In: Proceedings of the 16th IPPR Conference on Computer Vision, Graphics and Image Processing, pp. 827–834 (2003)
7.
Zurück zum Zitat Venegas-Andraca, S.E., Bose, S.: Storing, processing and retrieving an image using quantum mechanics. In: Proceeding of the SPIE Conference Quantum Information and Computation, vol. 5105, pp. 137–147 (2003) Venegas-Andraca, S.E., Bose, S.: Storing, processing and retrieving an image using quantum mechanics. In: Proceeding of the SPIE Conference Quantum Information and Computation, vol. 5105, pp. 137–147 (2003)
8.
Zurück zum Zitat Le, P.Q., Dong, F., Hirota, K.: A flexible representation of quantum images for polynomial preparation, image compression, and processing operations. Quantum Inf. Process. 10(1), 63–84 (2011)MathSciNetCrossRef Le, P.Q., Dong, F., Hirota, K.: A flexible representation of quantum images for polynomial preparation, image compression, and processing operations. Quantum Inf. Process. 10(1), 63–84 (2011)MathSciNetCrossRef
9.
Zurück zum Zitat Zhang, Y., Lu, K., Gao, Y., et al.: NEQR: a novel enhanced quantum representation of digital images. Quantum Inf. Process. 12(8), 2833–2860 (2013)ADSMathSciNetCrossRef Zhang, Y., Lu, K., Gao, Y., et al.: NEQR: a novel enhanced quantum representation of digital images. Quantum Inf. Process. 12(8), 2833–2860 (2013)ADSMathSciNetCrossRef
10.
Zurück zum Zitat Zhang, Y., Lu, K., Gao, Y., Xu, K.: A novel quantum representation for log-polar images. Quantum Inf. Process. 12(9), 3103–3126 (2013)ADSMathSciNetCrossRef Zhang, Y., Lu, K., Gao, Y., Xu, K.: A novel quantum representation for log-polar images. Quantum Inf. Process. 12(9), 3103–3126 (2013)ADSMathSciNetCrossRef
11.
Zurück zum Zitat Li, H., Zhu, Q., Zhou, R., Song, L., Yang, X.: Multi-dimensional color image storage and retrieval for a normal arbitrary quantum superposition state. Quantum Inf. Process. 13, 991–1011 (2014)ADSMathSciNetCrossRef Li, H., Zhu, Q., Zhou, R., Song, L., Yang, X.: Multi-dimensional color image storage and retrieval for a normal arbitrary quantum superposition state. Quantum Inf. Process. 13, 991–1011 (2014)ADSMathSciNetCrossRef
12.
Zurück zum Zitat Jiang, N., Wang, J., Mu, Y.: Quantum image scaling up based on nearest-neighbor interpolation with integer scaling ratio. Quantum Inf. Process. 14(11), 4001–4026 (2015)ADSMathSciNetCrossRef Jiang, N., Wang, J., Mu, Y.: Quantum image scaling up based on nearest-neighbor interpolation with integer scaling ratio. Quantum Inf. Process. 14(11), 4001–4026 (2015)ADSMathSciNetCrossRef
13.
Zurück zum Zitat Jiang, N., Wu, W.Y., Wang, L., Zhao, N.: Quantum image pseudo color coding based on the density-stratified method. Quantum Inf. Process. 14(5), 1735–1755 (2015)ADSMathSciNetCrossRef Jiang, N., Wu, W.Y., Wang, L., Zhao, N.: Quantum image pseudo color coding based on the density-stratified method. Quantum Inf. Process. 14(5), 1735–1755 (2015)ADSMathSciNetCrossRef
14.
Zurück zum Zitat Jiang, N., Wu, W.Y., Wang, L.: The quantum realization of Arnold and Fibonacci image scrambling. Quantum Inf. Process. 13, 1223–1236 (2014)ADSMathSciNetCrossRef Jiang, N., Wu, W.Y., Wang, L.: The quantum realization of Arnold and Fibonacci image scrambling. Quantum Inf. Process. 13, 1223–1236 (2014)ADSMathSciNetCrossRef
15.
Zurück zum Zitat Jiang, N., Wang, L., Wu, W.Y.: Quantum Hilbert image scrambling. Int. J. Theor. Phys. 53, 2463–2484 (2014)CrossRef Jiang, N., Wang, L., Wu, W.Y.: Quantum Hilbert image scrambling. Int. J. Theor. Phys. 53, 2463–2484 (2014)CrossRef
16.
Zurück zum Zitat Zhou, R.G., Sun, Y.J., Fan, P.: Quantum image Gray-code and bit-plane scrambling. Quantum Inf. Process. 14, 1717–1734 (2015)ADSMathSciNetCrossRef Zhou, R.G., Sun, Y.J., Fan, P.: Quantum image Gray-code and bit-plane scrambling. Quantum Inf. Process. 14, 1717–1734 (2015)ADSMathSciNetCrossRef
17.
Zurück zum Zitat Arbelaez, P., Maire, M., Fowlkes, C., Malik, J.: Contour detection and hierarchical image segmentation. IEEE TPAMI 33(5), 898–916 (2011)CrossRef Arbelaez, P., Maire, M., Fowlkes, C., Malik, J.: Contour detection and hierarchical image segmentation. IEEE TPAMI 33(5), 898–916 (2011)CrossRef
18.
Zurück zum Zitat Le, P.Q., Iliyasu, A.M., Dong, F., Hirota, K.: Fast geometric transformations on quantum images. IAENG Int. J. Appl. Math. 40(3), 113–123 (2010)MathSciNetMATH Le, P.Q., Iliyasu, A.M., Dong, F., Hirota, K.: Fast geometric transformations on quantum images. IAENG Int. J. Appl. Math. 40(3), 113–123 (2010)MathSciNetMATH
19.
Zurück zum Zitat Le, P.Q., Iliyasu, A.M., Dong, F., et al.: Strategies for designing geometric transformations on quantum images. Theor. Comput. Sci. 412, 1406–1418 (2011)MathSciNetCrossRef Le, P.Q., Iliyasu, A.M., Dong, F., et al.: Strategies for designing geometric transformations on quantum images. Theor. Comput. Sci. 412, 1406–1418 (2011)MathSciNetCrossRef
20.
Zurück zum Zitat Zhou, R.-G., Hu, W., Fan, P., Ian, H.: Quantum realization of the bilinear interpolation method for NEQR. Sci. Rep. 7(1), 2511 (2017)ADSCrossRef Zhou, R.-G., Hu, W., Fan, P., Ian, H.: Quantum realization of the bilinear interpolation method for NEQR. Sci. Rep. 7(1), 2511 (2017)ADSCrossRef
21.
Zurück zum Zitat Zhou, R.G., Wu, Q., Zhang, M.Q., et al.: Quantum image encryption and decryption algorithms based on quantum image geometric transformations. Int. J. Theor. Phys. 52(6), 1802–1817 (2013)MathSciNetCrossRef Zhou, R.G., Wu, Q., Zhang, M.Q., et al.: Quantum image encryption and decryption algorithms based on quantum image geometric transformations. Int. J. Theor. Phys. 52(6), 1802–1817 (2013)MathSciNetCrossRef
22.
Zurück zum Zitat Jiang, N., Zhao, N., Wang, L.: LSB based quantum image steganography algorithm. Int. J. Theor. Phys. 55(1), 107–123 (2016)CrossRef Jiang, N., Zhao, N., Wang, L.: LSB based quantum image steganography algorithm. Int. J. Theor. Phys. 55(1), 107–123 (2016)CrossRef
23.
Zurück zum Zitat Iliyasu, A.M., Le, P.Q., Dong, F., et al.: Watermarking and authentication of quantum image based on restricted geometric transformations. Inf. Sci. 186(1), 126–149 (2012)MathSciNetCrossRef Iliyasu, A.M., Le, P.Q., Dong, F., et al.: Watermarking and authentication of quantum image based on restricted geometric transformations. Inf. Sci. 186(1), 126–149 (2012)MathSciNetCrossRef
24.
Zurück zum Zitat Yan, F., Iliyasu, A.M., Sun, B., et al.: A duple watermarking strategy for multi-channel quantum images. Quantum Inf. Process. 14(5), 1675–1692 (2015)ADSMathSciNetCrossRef Yan, F., Iliyasu, A.M., Sun, B., et al.: A duple watermarking strategy for multi-channel quantum images. Quantum Inf. Process. 14(5), 1675–1692 (2015)ADSMathSciNetCrossRef
25.
Zurück zum Zitat Yan, F., Iliyasu, A.M., Guo, Y.M., Yang, H.M.: Flexible representation and manipulation of audio signals on quantum computers. Theor. Comput. Sci. 752, 71–85 (2018)MathSciNetCrossRef Yan, F., Iliyasu, A.M., Guo, Y.M., Yang, H.M.: Flexible representation and manipulation of audio signals on quantum computers. Theor. Comput. Sci. 752, 71–85 (2018)MathSciNetCrossRef
26.
Zurück zum Zitat Abdullah, M., Iliyasu, P.C., Le, Q., Dong, F.Y., et al.: A framework for representing and producing movies on quantum computers. Int. J. Quantum Inf. 9(6), 1459–1497 (2011)CrossRef Abdullah, M., Iliyasu, P.C., Le, Q., Dong, F.Y., et al.: A framework for representing and producing movies on quantum computers. Int. J. Quantum Inf. 9(6), 1459–1497 (2011)CrossRef
27.
Zurück zum Zitat Simona, C., Vasile, I.M.: Image segmentation on a quantum computer. Quantum Inf. Process. 14(5), 1693–1715 (2015)MathSciNetCrossRef Simona, C., Vasile, I.M.: Image segmentation on a quantum computer. Quantum Inf. Process. 14(5), 1693–1715 (2015)MathSciNetCrossRef
30.
Zurück zum Zitat Zhou, R.G., Liu, D.Q.: Quantum image edge extraction based on improved Sobel operator. Int. J. Theor. Phys. 58(9), 2969–2985 (2019)MathSciNetCrossRef Zhou, R.G., Liu, D.Q.: Quantum image edge extraction based on improved Sobel operator. Int. J. Theor. Phys. 58(9), 2969–2985 (2019)MathSciNetCrossRef
31.
Zurück zum Zitat Fan, P., Zhou, R.G., Hu, W., Jing, N.: Quantum image edge extraction based on classical Sobel operator for NEQR. Quantum Inf. Process. 18(1), 24 (2019)ADSCrossRef Fan, P., Zhou, R.G., Hu, W., Jing, N.: Quantum image edge extraction based on classical Sobel operator for NEQR. Quantum Inf. Process. 18(1), 24 (2019)ADSCrossRef
32.
Zurück zum Zitat Fan, P., Zhou, R.G., Hu, W.W., Jing, N.: Quantum image edge extraction based on Laplacian operator and zero-cross method. Quantum Inf. Process. 18(1), 27 (2019)ADSCrossRef Fan, P., Zhou, R.G., Hu, W.W., Jing, N.: Quantum image edge extraction based on Laplacian operator and zero-cross method. Quantum Inf. Process. 18(1), 27 (2019)ADSCrossRef
33.
Zurück zum Zitat Chetia, R., Boruah, S.M.B., Roy, S., Sahu, P.P.: Quantum image edge detection based on four directional sobel operator. In: International Conference on Pattern Recognition and Machine Intelligence (PReMI 2019). Lecture Notes in Computer Science, vol 11941. Springer, Cham, pp 532–540(2019) Chetia, R., Boruah, S.M.B., Roy, S., Sahu, P.P.: Quantum image edge detection based on four directional sobel operator. In: International Conference on Pattern Recognition and Machine Intelligence (PReMI 2019). Lecture Notes in Computer Science, vol 11941. Springer, Cham, pp 532–540(2019)
34.
Zurück zum Zitat Zhou, R.G., Yu, H., Cheng, Y., Li, F.X.: Quantum image edge extraction based on improved Prewitt operator. Quantum Inf. Process. 18(9), 261 (2019)ADSCrossRef Zhou, R.G., Yu, H., Cheng, Y., Li, F.X.: Quantum image edge extraction based on improved Prewitt operator. Quantum Inf. Process. 18(9), 261 (2019)ADSCrossRef
36.
Zurück zum Zitat Rosenfeld, A.: Digital Picture Processing. Academic Press, New York (1976)MATH Rosenfeld, A.: Digital Picture Processing. Academic Press, New York (1976)MATH
37.
Zurück zum Zitat Robinson, G.S.: Edge detection by compass gradient masks. Comput. Graph. Image Process. 6, 492–501 (1977)CrossRef Robinson, G.S.: Edge detection by compass gradient masks. Comput. Graph. Image Process. 6, 492–501 (1977)CrossRef
38.
Zurück zum Zitat Khosropour, A., Aghababa, H., Forouzandeh, B.: Quantum division circuit based on restoring division algorithm. In: 2011 Eighth International Conference on Information Technology: New Generations. IEEE, pp. 1037–1040 (2011) Khosropour, A., Aghababa, H., Forouzandeh, B.: Quantum division circuit based on restoring division algorithm. In: 2011 Eighth International Conference on Information Technology: New Generations. IEEE, pp. 1037–1040 (2011)
40.
Zurück zum Zitat Cuccaro, S.A., Draper, T.G., Kutin, S.A., Moultol, D.P.: A new quantum ripple-carry addition circuit. arXiv:quant-ph/0410184 (2004) Cuccaro, S.A., Draper, T.G., Kutin, S.A., Moultol, D.P.: A new quantum ripple-carry addition circuit. arXiv:quant-ph/0410184 (2004)
41.
Zurück zum Zitat Thapliyal, H., Ranganathan, N.: Design of efficient reversible binary subtractors based on a new reversible gate. In: 2009 IEEE Computer Society Annual Symposium on VLSI, IEEE, pp. 229–234 (2009) Thapliyal, H., Ranganathan, N.: Design of efficient reversible binary subtractors based on a new reversible gate. In: 2009 IEEE Computer Society Annual Symposium on VLSI, IEEE, pp. 229–234 (2009)
42.
Zurück zum Zitat Thapliyal, H., Ranganathan, N.: A new design of the reversible subtractor circuit. In: 2011 11th IEEE International Conference on Nanotechnology, IEEE, pp. 1430–1435 (2011) Thapliyal, H., Ranganathan, N.: A new design of the reversible subtractor circuit. In: 2011 11th IEEE International Conference on Nanotechnology, IEEE, pp. 1430–1435 (2011)
43.
Zurück zum Zitat Wang, D., Liu, Z.H., Zhu, W.N., Li, S.Z.: Design of quantum comparator based on extended general Toffoli gates with multiple targets. Comput. Sci. 39(9), 302–306 (2012) Wang, D., Liu, Z.H., Zhu, W.N., Li, S.Z.: Design of quantum comparator based on extended general Toffoli gates with multiple targets. Comput. Sci. 39(9), 302–306 (2012)
44.
Zurück zum Zitat Tsai, H.M., Chang, L.W.: Secure reversible visible image watermarking with authentication. J. Signal Process. Image Commun. 25, 10–17 (2010)CrossRef Tsai, H.M., Chang, L.W.: Secure reversible visible image watermarking with authentication. J. Signal Process. Image Commun. 25, 10–17 (2010)CrossRef
46.
Zurück zum Zitat Zhang, F., Zhang, X., Zhang, H.: Digital image watermarking capacity and detection error rate. Pattern Recogn. Lett. 28, 1–10 (2008)CrossRef Zhang, F., Zhang, X., Zhang, H.: Digital image watermarking capacity and detection error rate. Pattern Recogn. Lett. 28, 1–10 (2008)CrossRef
47.
Zurück zum Zitat Gunjal, B.L., Manthalkar, R.R.: An overview of transform domain robust digital image watermarking algorithm. J. Emerg. Trends Comput. Inf. Sci. 2(1), 37–42 (2010) Gunjal, B.L., Manthalkar, R.R.: An overview of transform domain robust digital image watermarking algorithm. J. Emerg. Trends Comput. Inf. Sci. 2(1), 37–42 (2010)
48.
Zurück zum Zitat Liu, Q., Sung, A.H.: Image complexity and feature mining for stag analysis of least significant bit steganography. Inf. Sci. 178, 21–36 (2008)CrossRef Liu, Q., Sung, A.H.: Image complexity and feature mining for stag analysis of least significant bit steganography. Inf. Sci. 178, 21–36 (2008)CrossRef
Metadaten
Titel
Quantum image edge detection using improved Sobel mask based on NEQR
verfasst von
R. Chetia
S. M. B. Boruah
P. P. Sahu
Publikationsdatum
01.01.2021
Verlag
Springer US
Erschienen in
Quantum Information Processing / Ausgabe 1/2021
Print ISSN: 1570-0755
Elektronische ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-020-02944-7

Weitere Artikel der Ausgabe 1/2021

Quantum Information Processing 1/2021 Zur Ausgabe

Neuer Inhalt