Encryption of 3D medical images based on a novel multiparameter cosine number transform. (June 2020)

• Record Type: Journal Article
• Authors: Lima, V.S.; Madeiro, F.; Lima, J.B.
• Is Part Of: Computers in biology and medicine. Volume 121(2020)
• Publication Date: 2020-06
• Subjects: Cosine number transform -- Steerable transforms -- 3D medical images -- Image encryption; Medicine -- Data processing -- Periodicals; Biology -- Data processing -- Periodicals; 610.285
• DOI: 10.1016/j.compbiomed.2020.103772
• Languages: English
• ISSNs: 0010-4825

Abstract

Abstract: In this paper, a multiparameter cosine number transform is proposed. Such a transform is obtained using the fact that the basis vectors of the three-dimensional cosine number transform (3D-CNT) constitute a possible eigenbasis for the Laplacian of the cubical lattice graph evaluated in a finite field. The proposed transform is identified as three-dimensional steerable cosine number transform (3D-SCNT) and is defined by rotating the 3D-CNT basis vectors, using a finite field rotation operator. We introduce a 3D medical image encryption scheme based on the 3D-SCNT, which uses the rotation angles as secret parameters. By means of computer experiments, we have verified that the scheme is resistant against the main cryptographic attacks. Highlights: Eigenbasis for the Laplacian of the cubical lattice graph evaluated in a finite field A novel multiparameter cosine number transform is introduced A 3D medical image encryption scheme is proposed