Skip to main content
Erschienen in: Pattern Recognition and Image Analysis 1/2020

01.01.2020 | MATHEMATICAL THEORY OF IMAGES AND SIGNALS REPRESENTING, PROCESSING, ANALYSIS, RECOGNITION, AND UNDERSTANDING

Invariant Gaussian–Hermite Moments Based Neural Networks for 3D Object Classification

verfasst von: Amal Zouhri, Hicham Amakdouf, Mostafa El Mallahi, Ahmed Tahiri, Zakia Lakhliai, Driss Chenouni, Hassan Qjidaa

Erschienen in: Pattern Recognition and Image Analysis | Ausgabe 1/2020

Einloggen

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

search-config
loading …

Abstract

In this article, we suggest a new approach for classification and Recognition of 3D image Gaussian–Hermite moments using a Multilayer Perceptron architecture. The Multilayer Perceptron is an artificial neural network to evaluate the efficient structure in the non-linear systems. However, the determination of its architecture and weights is a fundamental issue due to their direct impact on the network convergence and performance. The robustness of the proposed approach have provided under many transforms. The experimental results show that our approaches are more robust than 3D Geometric moments.

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 "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!

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!

Literatur
1.
Zurück zum Zitat B. Yang and M. Dai, “Image analysis by Gaussian–Hermite moments,” Signal Process. 91 (10), 2290–2303 (2011).CrossRef B. Yang and M. Dai, “Image analysis by Gaussian–Hermite moments,” Signal Process. 91 (10), 2290–2303 (2011).CrossRef
2.
Zurück zum Zitat M. El Mallahi, A. Mesbah, H. El Fadili, K. Zenkouar, and H. Qjidaa, “Compact computation of Tchebichef moments for 3D object representation,” WSEAS Trans. Circuits Syst. 13, 368–380 (2014). M. El Mallahi, A. Mesbah, H. El Fadili, K. Zenkouar, and H. Qjidaa, “Compact computation of Tchebichef moments for 3D object representation,” WSEAS Trans. Circuits Syst. 13, 368–380 (2014).
3.
Zurück zum Zitat M. El Mallahi, A. Mesbah, H. Qjidaa, K. Zenkouar, and H. El Fadili, “Translation and scale invariants of three-dimensional Tchebichef moments,” in 2015 Intelligent Systems and Computer Vision (ISCV’15) (Fez, Morocco, 2015), IEEE, pp. 1–5. M. El Mallahi, A. Mesbah, H. Qjidaa, K. Zenkouar, and H. El Fadili, “Translation and scale invariants of three-dimensional Tchebichef moments,” in 2015 Intelligent Systems and Computer Vision (ISCV15) (Fez, Morocco, 2015), IEEE, pp. 1–5.
4.
Zurück zum Zitat M. El Mallahi, A. Mesbah, H. Qjidaa, A. Berrahou, K. Zenkouar, and H. El Fadili, “Volumetric image reconstruction by 3D Hahn moments,” in Proc. 2015 IEEE/ACS 12th International Conference on Computer Systems and Applications (AICCSA) (Marrakech, Morocco, 2015), IEEE, pp. 1–8. M. El Mallahi, A. Mesbah, H. Qjidaa, A. Berrahou, K. Zenkouar, and H. El Fadili, “Volumetric image reconstruction by 3D Hahn moments,” in Proc. 2015 IEEE/ACS 12th International Conference on Computer Systems and Applications (AICCSA) (Marrakech, Morocco, 2015), IEEE, pp. 1–8.
5.
Zurück zum Zitat M. El Mallahi, A. Zouhri, A. Mesbah, and H. Qjidaa, “3D radial invariant of dual Hahn moments,” Neural Comput. Appl. 30 (7), 2283–2294 (2018).CrossRef M. El Mallahi, A. Zouhri, A. Mesbah, and H. Qjidaa, “3D radial invariant of dual Hahn moments,” Neural Comput. Appl. 30 (7), 2283–2294 (2018).CrossRef
6.
Zurück zum Zitat A. Mesbah, M. El Mallahi, H. El Fadili, K. Zenkouar, A. Berrahou, and H. Qjidaa, “An algorithm for fast computation of 3D Krawtchouk moments for volumetric image reconstruction,” in Proc. Mediterranean Conference on Information & Communication Technologies 2015, MedCT 2015, Vol. 1, Ed. by A. El Oualkadi, F. Choubani, and A. El Moussati, Lecture Notes in Electrical Engineering (Springer, Cham, 2016), Vol. 380, pp. 267–276. A. Mesbah, M. El Mallahi, H. El Fadili, K. Zenkouar, A. Berrahou, and H. Qjidaa, “An algorithm for fast computation of 3D Krawtchouk moments for volumetric image reconstruction,” in Proc. Mediterranean Conference on Information & Communication Technologies 2015, MedCT 2015, Vol. 1, Ed. by A. El Oualkadi, F. Choubani, and A. El Moussati, Lecture Notes in Electrical Engineering (Springer, Cham, 2016), Vol. 380, pp. 267–276.
7.
Zurück zum Zitat A. Mesbah, A. Berrahou, M. El Mallahi, and H. Qjidaa, “Fast algorithm for 3D local feature extraction using Hahn and Charlier moments,” in Advances in Ubiquitous Networking 2, Proc. UNet’16, Ed. by R. El-Azouzi, D. Menasche, E. Sabir, et al., Lecture Notes in Electrical Engineering (Springer, Singapore, 2017), Vol. 397, pp. 357–373. A. Mesbah, A. Berrahou, M. El Mallahi, and H. Qjidaa, “Fast algorithm for 3D local feature extraction using Hahn and Charlier moments,” in Advances in Ubiquitous Networking 2, Proc. UNet’16, Ed. by R. El-Azouzi, D. Menasche, E. Sabir, et al., Lecture Notes in Electrical Engineering (Springer, Singapore, 2017), Vol. 397, pp. 357–373.
8.
Zurück zum Zitat A. Mesbah, A. Berrahou, M. El Mallahi, and H. Qjidaa, “Fast and efficient computation of three-dimensional Hahn moments,” J. Electron. Imaging 25 (6), 061621 (2016).CrossRef A. Mesbah, A. Berrahou, M. El Mallahi, and H. Qjidaa, “Fast and efficient computation of three-dimensional Hahn moments,” J. Electron. Imaging 25 (6), 061621 (2016).CrossRef
9.
Zurück zum Zitat A. Mesbah, A. Zouhri, M. El Mallahi, K. Zenkouar, and H. Qjidaa, “Robust reconstruction and generalized dual Hahn moments invariants extraction for 3D images,” 3D Res. 8 (1), Article 7 (2017). A. Mesbah, A. Zouhri, M. El Mallahi, K. Zenkouar, and H. Qjidaa, “Robust reconstruction and generalized dual Hahn moments invariants extraction for 3D images,” 3D Res. 8 (1), Article 7 (2017).
10.
Zurück zum Zitat J. Flusser, T. Suk, and B. Zitová, Moments and Moment Invariants in Pattern Recognition (Wiley, Chichester, 2009).CrossRef J. Flusser, T. Suk, and B. Zitová, Moments and Moment Invariants in Pattern Recognition (Wiley, Chichester, 2009).CrossRef
11.
Zurück zum Zitat M. El Mallahi, A. Zouhri, J EL-Mekkaoui, and H. Qjidaa, “Three dimensional radial Tchebichef moment invariants for volumetric image recognition,” Pattern Recogn. Image Anal. 27 (4), 810–824 (2017).CrossRef M. El Mallahi, A. Zouhri, J EL-Mekkaoui, and H. Qjidaa, “Three dimensional radial Tchebichef moment invariants for volumetric image recognition,” Pattern Recogn. Image Anal. 27 (4), 810–824 (2017).CrossRef
12.
Zurück zum Zitat B. Xiao, Y. Zhang, L. Li, W. Li, and G. Wang, “Explicit Krawtchouk moment invariants for invariant image recognition,” J. Electron. Imaging 25 (2), 023002 (2016).CrossRef B. Xiao, Y. Zhang, L. Li, W. Li, and G. Wang, “Explicit Krawtchouk moment invariants for invariant image recognition,” J. Electron. Imaging 25 (2), 023002 (2016).CrossRef
13.
Zurück zum Zitat M. El Mallahi, A. Zouhri, A. Mesbah, A. Berrahou, I. El Affar, and H. Qjidaa, “Radial invariant of 2D and 3D Racah moments,” Multimed. Tools Appl. 77 (6), 6583–6604 (2018).CrossRef M. El Mallahi, A. Zouhri, A. Mesbah, A. Berrahou, I. El Affar, and H. Qjidaa, “Radial invariant of 2D and 3D Racah moments,” Multimed. Tools Appl. 77 (6), 6583–6604 (2018).CrossRef
14.
Zurück zum Zitat H.-S. Hsu and W.-H. Tsai, “Moment-preserving edge detection and its application to image data compression,” Opt. Eng. 32 (7), 1596–1608 (1993).CrossRef H.-S. Hsu and W.-H. Tsai, “Moment-preserving edge detection and its application to image data compression,” Opt. Eng. 32 (7), 1596–1608 (1993).CrossRef
15.
Zurück zum Zitat X.-Y. Wang, P.-P. Niu, H.-Y. Yang, C.-P. Wang, and A.-L. Wang, “A new robust color image watermarking using local quaternion exponent moments,” Inf. Sci. 277, 731–754 (2014).CrossRef X.-Y. Wang, P.-P. Niu, H.-Y. Yang, C.-P. Wang, and A.-L. Wang, “A new robust color image watermarking using local quaternion exponent moments,” Inf. Sci. 277, 731–754 (2014).CrossRef
16.
Zurück zum Zitat M. El Mallahi, A. Zouhri, J. El-Mekkaoui, and H. Qjidaa, “Radial Meixner moments for rotational invariant pattern recognition,” in 2017 Intelligent Systems and Computer Vision (ISCV’17) (Fez, Morocco, 2017), IEEE, pp. 1–6. M. El Mallahi, A. Zouhri, J. El-Mekkaoui, and H. Qjidaa, “Radial Meixner moments for rotational invariant pattern recognition,” in 2017 Intelligent Systems and Computer Vision (ISCV17) (Fez, Morocco, 2017), IEEE, pp. 1–6.
17.
Zurück zum Zitat F. Rosenblatt, The Perceptron: A Theory of Statistical Separability in Cognitive Systems (Project Para), Report No. VG-1196-G-1 (Cornell Aeronautical Laboratory, Buffalo, NY, 1958). F. Rosenblatt, The Perceptron: A Theory of Statistical Separability in Cognitive Systems (Project Para), Report No. VG-1196-G-1 (Cornell Aeronautical Laboratory, Buffalo, NY, 1958).
18.
Zurück zum Zitat Y. Ghanou and G. Bencheikh, “Architecture optimization and training for the multilayer Perceptron using Ant system,” IAENG Int. J. Comput. Sci. 43 (1), 20–26 (2016). Y. Ghanou and G. Bencheikh, “Architecture optimization and training for the multilayer Perceptron using Ant system,” IAENG Int. J. Comput. Sci. 43 (1), 20–26 (2016).
19.
Zurück zum Zitat M. El Mallahi, A. Zouhri, A. El Affar, A.Tahiri, and H. Qjidaa, “Radial Hahn moment invariants for 2D and 3D image recognition,” Int. J. Autom. Comput. 15 (3), 277–289 (2018).CrossRef M. El Mallahi, A. Zouhri, A. El Affar, A.Tahiri, and H. Qjidaa, “Radial Hahn moment invariants for 2D and 3D image recognition,” Int. J. Autom. Comput. 15 (3), 277–289 (2018).CrossRef
20.
Zurück zum Zitat M. El Mallahi, J. El Mekkaoui, A. Zouhri, H. Amakdouf, and H. Qjidaa, “Rotation scaling and translation invariants of 3D radial shifted Legendre moments,” Int. J. Autom. Comput. 15 (2), 169–180 (2018).CrossRef M. El Mallahi, J. El Mekkaoui, A. Zouhri, H. Amakdouf, and H. Qjidaa, “Rotation scaling and translation invariants of 3D radial shifted Legendre moments,” Int. J. Autom. Comput. 15 (2), 169–180 (2018).CrossRef
21.
Zurück zum Zitat M. El Mallahi, A. Zouhri, and H. Qjidaa, “Radial Meixner moment invariants for 2D and 3D image recognition,” Pattern Recogn. Image Anal. 28 (2), 207–216 (2018).CrossRef M. El Mallahi, A. Zouhri, and H. Qjidaa, “Radial Meixner moment invariants for 2D and 3D image recognition,” Pattern Recogn. Image Anal. 28 (2), 207–216 (2018).CrossRef
22.
Zurück zum Zitat A. Mesbah, M. El Mallahi, Z. Lakhili, H. Qjidaa, and A. Berrahou, “Fast and accurate algorithm for 3D local object reconstruction using Krawtchouk moments,” in Proc. 2016 5th Int. Conf. on Multimedia Computing and Systems (ICMCS) (Marrakech, Morocco, 2016), IEEE, pp. 1–6. A. Mesbah, M. El Mallahi, Z. Lakhili, H. Qjidaa, and A. Berrahou, “Fast and accurate algorithm for 3D local object reconstruction using Krawtchouk moments,” in Proc. 2016 5th Int. Conf. on Multimedia Computing and Systems (ICMCS) (Marrakech, Morocco, 2016), IEEE, pp. 1–6.
23.
Zurück zum Zitat M. El Mallahi, A. Mesbah, H. Karmouni, A. El Affar, A. Tahiri, and H. Qjidaa, “Radial Charlier moment invariants for 2D object/image recognition,” in Proc. 2016 5th Int. Conf. on Multimedia Computing and Systems (ICMCS) (Marrakech, Morocco, 2016), IEEE, pp. 41–45. M. El Mallahi, A. Mesbah, H. Karmouni, A. El Affar, A. Tahiri, and H. Qjidaa, “Radial Charlier moment invariants for 2D object/image recognition,” in Proc. 2016 5th Int. Conf. on Multimedia Computing and Systems (ICMCS) (Marrakech, Morocco, 2016), IEEE, pp. 41–45.
24.
Zurück zum Zitat M. El Mallahi, H. Amakdouf, A. Zouhri, and H. Qjidaa, “Rotation scaling and translation invariants of 3D radial shifted Legendre moments,” Int. J. Autom. Comput. 15 (2), 169–180 (2018).CrossRef M. El Mallahi, H. Amakdouf, A. Zouhri, and H. Qjidaa, “Rotation scaling and translation invariants of 3D radial shifted Legendre moments,” Int. J. Autom. Comput. 15 (2), 169–180 (2018).CrossRef
25.
Zurück zum Zitat M. El Mallahi, A. Zouhri, A. Mesbah, A. Berrahou, I. El Affar, and H. Qjidaa, “Radial invariant of 2D and 3D Racah moments,” Multimed. Tools Appl. 77 (6), 6583–6604 (2018).CrossRef M. El Mallahi, A. Zouhri, A. Mesbah, A. Berrahou, I. El Affar, and H. Qjidaa, “Radial invariant of 2D and 3D Racah moments,” Multimed. Tools Appl. 77 (6), 6583–6604 (2018).CrossRef
26.
Zurück zum Zitat H. Amakdouf, M. El Mallahi, A. Zouhri, A. Tahiri, and H. Qjidaa, “Classification and recognition of 3D image of Charlier moments using a Multilayer Perceptron architecture,” Procedia Comput. Sci. 127, 226–235 (2018).CrossRef H. Amakdouf, M. El Mallahi, A. Zouhri, A. Tahiri, and H. Qjidaa, “Classification and recognition of 3D image of Charlier moments using a Multilayer Perceptron architecture,” Procedia Comput. Sci. 127, 226–235 (2018).CrossRef
27.
Zurück zum Zitat H. Amakdouf, A. Zouhri, M. El Mallahi, A. Tahiri, and H. Qjidaa, “Translation scaling and rotation invariants of 3D Krawtchouk moments,” in Proc. 2018 Int. Conf. on Intelligent Systems and Computer Vision (ISCV2018) (Fez, Morocco, 2015), IEEE, pp. 1–6. https://doi.org/10.1109/ISACV.2018.8354059 H. Amakdouf, A. Zouhri, M. El Mallahi, A. Tahiri, and H. Qjidaa, “Translation scaling and rotation invariants of 3D Krawtchouk moments,” in Proc. 2018 Int. Conf. on Intelligent Systems and Computer Vision (ISCV2018) (Fez, Morocco, 2015), IEEE, pp. 1–6. https://​doi.​org/​10.​1109/​ISACV.​2018.​8354059
28.
Zurück zum Zitat McGill 3D Shape Benchmark (Shape Analysis Group, Centre for Intelligent Machines and School of Computer Science, McGill University, 2005). Available at: http://www.cim.mcgill.ca/~shape/benchMark/. McGill 3D Shape Benchmark (Shape Analysis Group, Centre for Intelligent Machines and School of Computer Science, McGill University, 2005). Available at: http://​www.​cim.​mcgill.​ca/​~shape/​benchMark/​.​
Metadaten
Titel
Invariant Gaussian–Hermite Moments Based Neural Networks for 3D Object Classification
verfasst von
Amal Zouhri
Hicham Amakdouf
Mostafa El Mallahi
Ahmed Tahiri
Zakia Lakhliai
Driss Chenouni
Hassan Qjidaa
Publikationsdatum
01.01.2020
Verlag
Pleiades Publishing
Erschienen in
Pattern Recognition and Image Analysis / Ausgabe 1/2020
Print ISSN: 1054-6618
Elektronische ISSN: 1555-6212
DOI
https://doi.org/10.1134/S1054661820010186

Weitere Artikel der Ausgabe 1/2020

Pattern Recognition and Image Analysis 1/2020 Zur Ausgabe

MATHEMATICAL THEORY OF IMAGES AND SIGNALS REPRESENTING, PROCESSING, ANALYSIS, RECOGNITION, AND UNDERSTANDING

Variance Based External Dictionary for Improved Single Image Super-Resolution