Skip to main content
Top
Published in: Pattern Analysis and Applications 2/2014

01-05-2014 | Theoretical Advances

Legendre moment invariants to blur and affine transformation and their use in image recognition

Authors: Xiubin Dai, Hui Zhang, Tianliang Liu, Huazhong Shu, Limin Luo

Published in: Pattern Analysis and Applications | Issue 2/2014

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

The processing of the images simultaneously degraded by blur and affine transformation has become a key task in many applications and many novel methods are designed specifically for it in which the moment-based methods play an important role. However, the existing moment-based methods all resort to non-orthogonal moments invariants which have problem of information redundancy and are sensitive to noise. In this paper, we construct a new set of combined invariants of orthogonal Legendre moments which hold for blur and affine transformation together. The experimental results show that the proposed invariants have better discriminative power and robustness to noise with the comparison to other invariants.

Dont have a licence yet? Then find out more about our products and how to get one now:

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!

Appendix
Available only for authorised users
Literature
1.
go back to reference Banham MR, Katsaggelos AK (1997) Digital image restoration. IEEE Signal Proc Mag 14(2):24–41CrossRef Banham MR, Katsaggelos AK (1997) Digital image restoration. IEEE Signal Proc Mag 14(2):24–41CrossRef
3.
go back to reference Reiss TH (1991) The revised fundamental theorem of moment invariants. IEEE Trans Pattern Anal Mach Intell 13(8):830–834CrossRef Reiss TH (1991) The revised fundamental theorem of moment invariants. IEEE Trans Pattern Anal Mach Intell 13(8):830–834CrossRef
4.
go back to reference Flusser J, Suk T (1994) A moment-based approach to registration of images with affine geometric distortion. IEEE Trans Geosci Remote 32(2):382–387CrossRef Flusser J, Suk T (1994) A moment-based approach to registration of images with affine geometric distortion. IEEE Trans Geosci Remote 32(2):382–387CrossRef
5.
go back to reference Dai X, Khorram S (1999) A feature-based image registration algorithm using improved chain-code representation combined with invariant moments. IEEE Trans Geosci Remote 37(5):2351–2362CrossRef Dai X, Khorram S (1999) A feature-based image registration algorithm using improved chain-code representation combined with invariant moments. IEEE Trans Geosci Remote 37(5):2351–2362CrossRef
6.
go back to reference Rothe I, Susse H, Voss K (1996) The method of normalization to determine invariants. IEEE Trans Pattern Anal Mach Intell 18(4):366–375CrossRef Rothe I, Susse H, Voss K (1996) The method of normalization to determine invariants. IEEE Trans Pattern Anal Mach Intell 18(4):366–375CrossRef
7.
8.
go back to reference Suk T, Flusser J (2005) Affine normalization of symmetric objects. Adv Concepts Intell Vis Syst, LNCS 3708:100–107CrossRef Suk T, Flusser J (2005) Affine normalization of symmetric objects. Adv Concepts Intell Vis Syst, LNCS 3708:100–107CrossRef
9.
go back to reference Heikkilä J (2004) Pattern matching with affine moment descriptors. Pattern Recogn 37(9):1825–1834CrossRefMATH Heikkilä J (2004) Pattern matching with affine moment descriptors. Pattern Recogn 37(9):1825–1834CrossRefMATH
10.
go back to reference Flusser J, Suk T (1998) Degraded image analysis: an invariant approach. IEEE Trans Pattern Anal Mach Intell 20(6):590–603CrossRef Flusser J, Suk T (1998) Degraded image analysis: an invariant approach. IEEE Trans Pattern Anal Mach Intell 20(6):590–603CrossRef
11.
go back to reference Flusser J, Zitova B (1999) Combined invariants to linear filtering and rotation. Int J Pattern Recogn Arti Intell 13(8):1123–1135CrossRef Flusser J, Zitova B (1999) Combined invariants to linear filtering and rotation. Int J Pattern Recogn Arti Intell 13(8):1123–1135CrossRef
12.
go back to reference Zitova B, Flusser J (2002) Estimation of camera planar motion from defocused images. In: Proceedings of the IEEE International Conference on Image Processing, pp 329–332 Zitova B, Flusser J (2002) Estimation of camera planar motion from defocused images. In: Proceedings of the IEEE International Conference on Image Processing, pp 329–332
13.
go back to reference Bentoutou Y, Taleb N, El Mezouar MC, Taleb M, Jetto L (2002) An invariant approach for image registration in digital subtraction angiography. Pattern Recogn 35(12):2853–2865CrossRefMATH Bentoutou Y, Taleb N, El Mezouar MC, Taleb M, Jetto L (2002) An invariant approach for image registration in digital subtraction angiography. Pattern Recogn 35(12):2853–2865CrossRefMATH
14.
go back to reference Flusser J, Boldyš J, Zitová B (2003) Moment forms invariant to rotation and blur in arbitrary number of dimensions. IEEE Trans Pattern Anal Mach Intell 13(8):1123–1136 Flusser J, Boldyš J, Zitová B (2003) Moment forms invariant to rotation and blur in arbitrary number of dimensions. IEEE Trans Pattern Anal Mach Intell 13(8):1123–1136
15.
go back to reference Zhang Y, Wen C, Zhang Y, Soh YC (2002) Determination of blur and affine combined invariants by normalization. Pattern Recogn 35(1):211–221CrossRefMATH Zhang Y, Wen C, Zhang Y, Soh YC (2002) Determination of blur and affine combined invariants by normalization. Pattern Recogn 35(1):211–221CrossRefMATH
16.
go back to reference Suk T, Flusser J (2003) Combined blur and affine moment invariants and their use in pattern recognition. Pattern Recogn 36(12):2895–2907CrossRefMATH Suk T, Flusser J (2003) Combined blur and affine moment invariants and their use in pattern recognition. Pattern Recogn 36(12):2895–2907CrossRefMATH
18.
go back to reference Zhu H, Liu M (2010) Combined invariants to blur and rotation using Zernike moment descriptors. Pattern Anal Appl 13(3):309–319CrossRefMathSciNet Zhu H, Liu M (2010) Combined invariants to blur and rotation using Zernike moment descriptors. Pattern Anal Appl 13(3):309–319CrossRefMathSciNet
19.
go back to reference Zhang H, Shu H, Han GN, Coatrieux G, Luo L, Coatrieux JL (2010) Blurred image recognition by Legendre moment invariants. IEEE Trans Image Process 19(3):596–611CrossRefMathSciNet Zhang H, Shu H, Han GN, Coatrieux G, Luo L, Coatrieux JL (2010) Blurred image recognition by Legendre moment invariants. IEEE Trans Image Process 19(3):596–611CrossRefMathSciNet
20.
go back to reference Zhang H, Shu H, Coatrieux G, Zhu J, Wu QMJ, Zhang Y, Zhu H, Luo L (2011) Affine Legendre moment invariants for image watermarking robust to geometric distortions. IEEE Trans Image Process 20(8):2189–2199CrossRefMathSciNet Zhang H, Shu H, Coatrieux G, Zhu J, Wu QMJ, Zhang Y, Zhu H, Luo L (2011) Affine Legendre moment invariants for image watermarking robust to geometric distortions. IEEE Trans Image Process 20(8):2189–2199CrossRefMathSciNet
21.
go back to reference Shu H, Zhou J, Han GN, Luo L, Coatrieux JL (2007) Image reconstruction from limited range projections using orthogonal moments. Pattern Recogn 40(2):670–680CrossRefMATH Shu H, Zhou J, Han GN, Luo L, Coatrieux JL (2007) Image reconstruction from limited range projections using orthogonal moments. Pattern Recogn 40(2):670–680CrossRefMATH
Metadata
Title
Legendre moment invariants to blur and affine transformation and their use in image recognition
Authors
Xiubin Dai
Hui Zhang
Tianliang Liu
Huazhong Shu
Limin Luo
Publication date
01-05-2014
Publisher
Springer London
Published in
Pattern Analysis and Applications / Issue 2/2014
Print ISSN: 1433-7541
Electronic ISSN: 1433-755X
DOI
https://doi.org/10.1007/s10044-012-0273-y

Other articles of this Issue 2/2014

Pattern Analysis and Applications 2/2014 Go to the issue

Premium Partner