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Distortion‐Free Steganography for Polygonal Meshes
Author(s) -
Bogomjakov Alexander,
Gotsman Craig,
Isenburg Martin
Publication year - 2008
Publication title -
computer graphics forum
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.578
H-Index - 120
eISSN - 1467-8659
pISSN - 0167-7055
DOI - 10.1111/j.1467-8659.2008.01161.x
Subject(s) - polygon mesh , steganography , computer science , permutation (music) , distortion (music) , algorithm , encoder , embedding , mathematics , theoretical computer science , computer graphics (images) , artificial intelligence , amplifier , computer network , physics , bandwidth (computing) , acoustics , operating system
Abstract We present a technique for steganography in polygonal meshes. Our method hides a message in the indexed rep‐resentation of a mesh by permuting the order in which faces and vertices are stored. The permutation is relative to a reference ordering that encoder and decoder derive from the mesh connectivity in a consistent manner. Our method is distortion‐free because it does not modify the geometry of the mesh. Compared to previous steganographic methods for polygonal meshes our capacity is up to an order of magnitude better. Our steganography algorithm is universal and can be used instead of the standard permutation steganography algorithm on arbitrary datasets. The standard algorithm runs in Ω (n 2 log 2 n log log n) time and achieves optimal O(nlog n) bit capacity on datasets with n elements. In contrast, our algorithm runs in O(n) time, achieves a capacity that is only one bit per element less than optimal, and is extremely simple to implement.