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Multiresolution Intensity Estimation of Piecewise Linear Poisson Processes
Given observations of a one-dimensional piecewise linear, length-M Poisson intensity function, our goal is to estimate both the partition points and the parameters of each segment. In order to determine where the breaks ...
Directional, Shift-Insensitive, Complex Wavelet Transforms with Controllable Redundancy
Although the Discrete Wavelet Transform (DWT) is a powerful tool for signal and image processing, it has three serious disadvantages. First, the DWT is shift sensitive because input-signal shifts generate unpredictable ...
Edge Characteristics in Wavelet-Based Image Coding
Accurate prediction of wavelet coefficients relies on an understanding of the phase effects of edge alignment. This research examines techniques for uncovering edge information based on the available coefficients. These ...
Multiscale Edge Grammars for Complex Wavelet Transforms
Wavelet domain algorithms have risen to the forefront of image processing. The power of these algorithms is derived from the fact that the wavelet transform restructures the image in a way that makes statistical modeling ...
Bayesian Tree-Structured Image Modeling using Wavelet-domain Hidden Markov Models
Wavelet-domain hidden Markov models have proven to be useful tools for statistical signal and image processing. The hidden Markov tree (HMT) model captures the key features of the joint probability density of the wavelet ...