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Multimedia Tools and Applications

, Volume 75, Issue 15, pp 9371–9394 | Cite as

Lagrangian twin support vector regression and genetic algorithm based robust grayscale image watermarking

  • Ashok Kumar Yadav
  • Rajesh Mehta
  • Raj Kumar
  • Virendra P. Vishwakarma
Article

Abstract

A novel imperceptible, secure and robust grayscale image watermarking scheme using Lagrangian twin support vector regression (LTSVR) and genetic algorithm (GA) in discrete Cosine transform (DCT) domain is presented in this manuscript. Fuzzy entropy is used to select the relevant blocks for embedding the watermark. Selected number of blocks based on fuzzy entropy not only reduces the dimensionality of the watermarking problem but also discards redundant and irrelevant blocks. Significant DCT coefficients having high energy compaction property of each selected block are used to form the image dataset to train LTSVR to find the non-linear regression function between the input and target vector. The adaptive watermark strength, different for each selected block, is decided by the GA process based on well defined fitness function. Due to good learning capability of image characteristics and high generalization property of LTSVR, watermark is successfully extracted from the watermarked images against a series of image processing operations. From the experimental and comparison results performed on standard and real world images, it is inferred that the proposed method is suitable for copyright protection applications where high degree of robustness is desirable.

Keywords

DCT Genetic algorithm Lagrangian Twin SVR Digital Image Watermarking 

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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.Department of Computer Science and Engineering, University Institute of Engineering and TechnologyMaharishi Dayanand UniversityRohtakIndia
  2. 2.Amity School of Engineering and TechnologyNew DelhiIndia
  3. 3.University School of Information and Communication Technology, Guru Gobind Singh Indraprastha UniversityNew DelhiIndia

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