In this paper, we initially provide significant improvements on the computational aspects of dual Hahn moment invariants (dHMIs) in both 2d and3ddomains. These improvements ensure the numerical stability of dHMIs fo...
详细信息
In this paper, we initially provide significant improvements on the computational aspects of dual Hahn moment invariants (dHMIs) in both 2d and3ddomains. These improvements ensure the numerical stability of dHMIs for large-size images. Then, we propose an efficient method for optimizing the local parameters of dual Hahn polynomials (dHPs) when computing dHMIs using the Sine-Cosine Algorithm (SCA). dHMIs optimized via SCA are used to propose new and robust zero-watermarking scheme applied to both 2d and3dimages. On one hand, the simulation results confirm the efficiency of the proposed computation of 2d and3ddHMIs regarding the numerical stability and invariability. Indeed, the proposed computation method of 2ddHMIs allows to reach a relative error (RE) of the order approximate to 10(-10) for images of size 1024 x 1024 with an execution time improvement ratio exceeds 70% (ETIR >= 70%), which validates the efficiently of the proposed computation method. On the other hand, the simulation and comparison outcomes clearly demonstrate the robustness of the proposedzero-watermarking scheme against various geometric attacks (translation, rotation, scaling and combined transformations), as well as against other common 2d and3dimage processing attacks (compression, filtering, noise addition, etc.).
暂无评论