A method for lossless image compression using wavelet lifting transform with automatic adjustment of wavelet filter coefficients for better compression is presented. The proposal is based on pattern recognition by 1-NN classifier. Using the pattern recognition, the lifting filter coefficients are optimized globally for each image. The proposed technique was aplied to test images and the compres...

Reasoning is the result of the computations made by intelligent systems, for instance those in the brain. It is not an abstract concept because calculations performed by computations are very concrete transactions among the different central processing unit components. Entropy measurements are proposed here to disclose the plasticity of the cerebral processing associated with language comprehen...

To optimize the number of decomposition layers in wavelet threshold denoising for ultrasonic signals, we propose a self-adaptive algorithm of determining the number of decomposition layers based on singular spectrum analysis and wavelet entropy. First the noise-containing signals are decomposed by discrete wavelet transform. The slope of the singular value spectrum for each layer is estimated. ...

Trend identification in gradually degrading faults poses a challenge due to embedded local large data variations in signals, which sometimes can interfere with the gradual trend. This paper describes combining Multi-resolution Signal Decomposition (MSD) property and denoising effect of wavelet transforms with entropy measure to eliminate local high frequency variations and retain the gradual pa...

We present a lossless compressor for multispectral Landsat images that exploits interband and intraband correlations. The compressor operates on blocks of 256× 256 pixels, and performs two kinds of predictions. For bands 1, 2, 3, 4, 5, 6.2 and 7, the compressor performs an integer-to-integer wavelet transform, which is applied to each block separately. The wavelet coefficients that have not yet...

We give a rational form of a generic two-dimensional “quad” map, containing the so-called Q4 case [1, 2, 3, 4, 5, 6], but whose coefficients are free. Its integrability is proved using the calculation of algebraic entropy. We first explain the setting, i.e. what are two dimensional lattice maps on a square lattice (quad maps), and describe two characteristics of integrability of such systems, r...

The emerging interest in the field of digital watermarking is due to the increase in concern over copyright protection of digital information and prevention of unauthorized access, duplication and manipulation of digital data. In this paper, an entropy based blind video watermarking scheme is proposed using combined DCT-DWT transform. Two level DWT is performed on the extracted video frames, wh...

We give a rational form of a generic two-dimensional “quad” map, containing the so-called Q4 case [1, 2, 3, 4, 5, 6], but whose coefficients are free. Its integrability is proved using the calculation of algebraic entropy. We first explain the setting, i.e. what are two dimensional lattice maps on a square lattice (quad maps), and describe two characteristics of integrability of such systems, r...

Exact results are derived concerning quasiregularity and diffusion of strong chaos on resonances of the sawtooth map. A chaotic ensemble of well-defined quasiregularity type (the sequence of resonances visited) is generally a fractal set whose main characteristics, the topological entropy and the Hausdorff dimension, are calculated exactly, under some conditions, using a symbolic dynamics. The ...

In this note, we study some of the simplest algebraic self-maps of projective spaces. These maps, which we call monomial maps, are in one-to-one correspondence with nonsingular integer matrices, and are closely related to toral endomorphisms. In Theorem 1 we give a lower bound for the topological entropy of monomial maps and in Theorem 2 we give a formula for algebraic entropy (as defined by Be...