A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Wavelets: a tutorial in theory and applications
Wavelets: a tutorial in theory and applications
The fractional spline wavelet transform: definition end implementation
ICASSP '00 Proceedings of the Acoustics, Speech, and Signal Processing, 2000. on IEEE International Conference - Volume 01
A blind watermarking scheme using new nontensor product wavelet filter banks
IEEE Transactions on Image Processing
A novel image encryption framework based on markov map and singular value decomposition
ICIAR'11 Proceedings of the 8th international conference on Image analysis and recognition - Volume Part II
The fractional Fourier transform and time-frequency representations
IEEE Transactions on Signal Processing
Selective image encryption based on pixels of interest and singular value decomposition
Digital Signal Processing
The wavelet transform, time-frequency localization and signal analysis
IEEE Transactions on Information Theory
Image and Video Encryption based on Dual Space-Filling Curves
The Computer Journal
Information Sciences: an International Journal
A new 1D chaotic system for image encryption
Signal Processing
Design of image cipher using latin squares
Information Sciences: an International Journal
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The fractional wavelet transform is a useful mathematical transformation that generalizes the most prominent tool in signal and image processing namely wavelet transform by rotation of signals in the time-frequency plane. The definition of discrete fractional wavelet transform is not reported yet in the literature. Therefore, a definition of the discrete fractional wavelet transform is consolidated by discretizing continuous fractional wavelet transform in the proposed work. Possible applications of the transform are in transient signal processing, image analysis, image transmission, biometrics, image compression etc. In this paper, image transmission is chosen as the primary application and hence a novel encryption scheme is proposed for securing multiple images during communication and transmission over insecure channel. The proposed multiple image encryption scheme is consolidated by fractional wavelet transform and chaotic maps. First, all the images are encrypted followed by their sharing. The sharing process is done considering numerical techniques by making the sharing process a system of linear equations. Experimental results and security analysis demonstrate the efficiency and robustness of the proposed primary application.