Open Access Open Access  Restricted Access Subscription Access

Optimum Detecting of Contour Let-based Image Watermarks in a Noisy Environment


Affiliations
1 Department of Computer Science and Engineering, Jayaram College of Engineering and Technology, Trichy, Tamil Nadu, India
 

The objective of this paper is to analyze the unsteady magneto hydrodynamic flow of a viscous incompressible fluid past an infinite hot vertical porous plate in presence of constant suction and periodic variation of plate temperature. The governing equations of the flow field are solved employing multiparameter perturbation technique assuming Eckert number as perturbation parameter. The effects of magnetic parameter M, Grashof number for heat transfer Gr, Eckert number Ec, Prandtl number Pr, frequency parameter ω, etc. on velocity, temperature, skin friction and heat flux are discussed with the help of figures and tables. It is observed that a growing magnetic parameter enhances the velocity of the flow field near the plate and there after the effect reverses due to the magnetic pull of the Lorentz force on the flow field. The Grash of number/permeability parameter/Eckert number has an accelerating effect on the velocity of the flow field. A growing Prandtl number / Reynolds number has a retarding effect on the temperature of the flow field at all points. The permeability parameter enhances the ski n friction and decreases the magnitude of heat flux at the wall. On the other hand, the magnetic parameter enhances the skin friction as well as the magnitude of heat flux at the wall.

Keywords

Contourlet Transform, Maximum Likelihood Detector, Multiplicative Image Watermarking
User
Notifications

  • Akhaee MA, Sahraeian SME, Sankur B and Marvasti F (2009) Robust scaling-based image water marking using maximum-likelihood decoder with optimum strength factor. IEEE Trans. Multimedia. 11(5), 822–833.
  • Demanet L and Ying L (2007) Wave atoms and sparsity of oscillatory patterns. Appl. Comput. Harmon. Anal, 23,368.
  • Do MN and Vetterli M (2005) The contour let transform: An efficient directional multi resolution image representation. IEEE Trans. Image Process. 14(12), 2091–2106.
  • Hsu CT and Wu JL (1998) Multiresolution water marking for digital images. IEEE Trans. Circuit Syst. 45(8) 1097–1101.
  • Jayalakshmi M, Merchant SN, and Desai UB (2006) Digital watermarking in contour let domain. In Proc. 18th Int. Conf. Pattern Recognition. 3, 861–864.
  • Maor A and Merhav N (2005) On joint information embedding and lossy compression in the presence of a stationary memoriless attack v channel. IEEE Trans. Inf. Theory, 51(9), 3166–3175.
  • Moulin P and O’Sullivan JA (2003) Informationtheoretic analysis of information hiding. IEEE Trans. Inf. Theory. 49(3), 563–593.
  • Wang Z and Bovik AC (2004) Image quality assessment: From error visibility to structural similarity, IEEE Trans. Image Process. 13(4), 600–612.

Abstract Views: 355

PDF Views: 64




  • Optimum Detecting of Contour Let-based Image Watermarks in a Noisy Environment

Abstract Views: 355  |  PDF Views: 64

Authors

M. Vidhyalakshmi
Department of Computer Science and Engineering, Jayaram College of Engineering and Technology, Trichy, Tamil Nadu, India
G. Vennila
Department of Computer Science and Engineering, Jayaram College of Engineering and Technology, Trichy, Tamil Nadu, India

Abstract


The objective of this paper is to analyze the unsteady magneto hydrodynamic flow of a viscous incompressible fluid past an infinite hot vertical porous plate in presence of constant suction and periodic variation of plate temperature. The governing equations of the flow field are solved employing multiparameter perturbation technique assuming Eckert number as perturbation parameter. The effects of magnetic parameter M, Grashof number for heat transfer Gr, Eckert number Ec, Prandtl number Pr, frequency parameter ω, etc. on velocity, temperature, skin friction and heat flux are discussed with the help of figures and tables. It is observed that a growing magnetic parameter enhances the velocity of the flow field near the plate and there after the effect reverses due to the magnetic pull of the Lorentz force on the flow field. The Grash of number/permeability parameter/Eckert number has an accelerating effect on the velocity of the flow field. A growing Prandtl number / Reynolds number has a retarding effect on the temperature of the flow field at all points. The permeability parameter enhances the ski n friction and decreases the magnitude of heat flux at the wall. On the other hand, the magnetic parameter enhances the skin friction as well as the magnitude of heat flux at the wall.

Keywords


Contourlet Transform, Maximum Likelihood Detector, Multiplicative Image Watermarking

References