Everything about Poisson wavelet
Types of wavelets
In mathematics, in functional analysis, several different wavelets are known by the name Poisson wavelet. In one context, the term "Poisson wavelet" is used to denote a family of wavelets labeled by the set of positive integers, the members of which are associated with the Poisson probability distribution. These wavelets were first defined and studied by Karlene A. Kosanovich, Allan R. Moser and Michael J. Piovoso in 1995–96. In another context, the term refers to a certain wavelet which involves a form of the Poisson integral kernel. In still another context, the terminology is used to describe a family of complex wavelets indexed by positive integers which are connected with the derivatives of the Poisson integral kernel. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Poisson waveletA 5-minute orientation
- Skim a recent paper: The Wavelet Compressibility of Compound Poisson ProcessesInfluential work since 2022
- Pick up a classic book: Imaging, multi-scale, and high-contrast partial differential equationsThe most-reprinted book on the subject
- Read the landmark paper: A Wavelet‐Based Algorithm for the Spatial Analysis of Poisson DataCited 504 times
- Go sideways: Vanishing momentA closely related topic
- Go sideways: Shannon waveletA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
A Wavelet‐Based Algorithm for the Spatial Analysis of Poisson Data
Fast interscale wavelet denoising of Poisson-corrupted images
Solving 2D and 3D Poisson equations and biharmonic equations by the Haar wavelet method
A Comparative Simulation Study of Wavelet Shrinkage Estimators for Poisson Counts
Poisson intensity estimation for tomographic data using a wavelet shrinkage approach
Skellam Shrinkage: Wavelet-Based Intensity Estimation for Inhomogeneous Poisson Data
Wavelet Shrinkage Estimation for Non-Homogeneous Poisson Process Based Software Reliability Models
Wavelet frame based Poisson noise removal and image deblurring
🆕 Influential since 2022
The Wavelet Compressibility of Compound Poisson Processes
Wavelet Based Solutions to the Poisson and the Helmholtz Equations on the n-Dimensional Unit Sphere
Shared-Kernel Wavelet Networks for Near-Sensor Poisson Image Reconstruction
The Numerical Solution of Poisson Equations using Wavelet based Multigrid Method
Open Source Software Fault Prediction Model Integrating Wavelet Transform and Non-Homogeneous Poisson Process
📚 Books worth reading
Imaging, multi-scale, and high-contrast partial differential equationsHabib Ammari · 2016
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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