QR decomposition of dual quaternion matrix and blind watermarking scheme

Abstract

In this paper, the algorithms and applications of the dual quaternion QR decomposition are studied. The direct algorithm and dual structure-preserving algorithm of dual quaternion QR decomposition utilizing Householder transformation of dual quaternion vector are proposed. Numerical experiments show that two algorithms are feasible, and the dual structure-preserving algorithm is superior to the direct algorithm in terms of computational efficiency. Therefore, the dual structure-preserving algorithm of dual quaternion QR decomposition is used to color image watermarking. Experiments illustrate that our method is feasible and better than the compared methods in anti-aggression.