In the current context of global infectious disease risks, a better understanding of the dynamics of major epidemics is urgently needed. Time-series analysis has appeared as an interesting approach to explore the dynamics of numerous diseases. Classical time-series methods can only be used for stationary time-series (in which the statistical properties do not vary with time). However, epidemiol...

Synthetic Aperture Radar (SAR) images are contaminated by multiplicative speckle noise, a chaotic phenomenon that results from coherent energy imaging; and that obscures the scene complex and strongly reduces the possibility to observe objects. Multiplicative speckle noise limits the classical coder/decoder algorithm in spatial domain. Various scalar wavelet based techniques so far developed fo...

By developing the classical kernel method, Delaigle and Meister provide a nice estimation for a density function with some Fourier-oscillating noises over a Sobolev ballWs 2(L) and over L 2 risk (Delaigle and Meister in Stat. Sin. 21:1065-1092, 2011). The current paper extends their theorem to Besov ball Br,q(L) and L p risk with p,q, r ∈ [1,∞] by using wavelet methods. We firstly show a linear...

New methods for lossy image compression based on wavelet theory are introduced. Unlike the classical wavelet decomposition scheme it is possible to have diierent scaling and wavelet lters at every scale by using non-stationary multiresolution analyses. For the bidimensional case inhomogeneous multires-olution analyses using diierent wavelet lters for the two variables are introduced. Beyond it,...

In principle it is well known that for sufficiently nice wavelet functions the regularity of the wavelet transform allows to recover any L-function from its samples over any sufficiently dense, irregular sampling set. Equivalently, the (irregular) set of affine transforms of the given wavelet function forms a frame for L(R). In the present paper a systematic treatment of sufficient conditions f...

Wavelet ree based watermarking algorithms are using the wavelet coefficient energy difference for copyright protection and ownership verification. WTQ (Wavelet Tree Quantization) algorithm is the representative technique using energy difference for watermarking. According to the cryptanalysis on WTQ, the watermark embedded in the protected image can be removed successfully. In this paper, we pr...

A new application of wavelet analysis is presented that utilizes the inherent phase information residing within the complex Morlet transform. The technique is applied to a weak solar magnetic network region, and the temporal variation of phase difference between TRACE 1700 8 and SOHO/SUMER C ii 1037 8 intensities is shown. We present, for the first time in an astrophysical setting, the applicat...

This paper presents parallel versions of a wavelet radiosity algorithm. Wavelet radiosity is based on a general framework of projection methods and wavelet theory. The resulting algorithm has a cost proportional to versus the complexity of the classical radiosity algorithms. However, designing a parallel wavelet radiosity is challenging because of its irregular and dynamic nature. Since explici...

This paper proposes a complete compression and coding scheme for onboard satellite applications considering the main on-board constraints: low computational power and easy bit-rate control. The proposed coding scheme improves the performance of the current CCSDS recommendation (Consultative Committee for Space Data Systems) for a low additional complexity. We consider post-transforms in the wav...

This paper introduces a framework for nonlinear, multiscale decompositions of Poisson data with piecewise smooth intensity curves. The key concept is conditioning on the sum of the observations that are involved in the computation of a given coefficient. Within this framework, most classical wavelet thresholding schemes for data with additive, homoscedastic noise apply. Any family of wavelet tr...