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Title of Journal: J Math Imaging Vis

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Abbravation: Journal of Mathematical Imaging and Vision

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Springer US

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DOI

10.1007/978-1-4471-5137-1_4

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ISSN

1573-7683

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Block Based Deconvolution Algorithm Using Spline W

Authors: Amir Averbuch Valery Zheludev Pekka Neittaanmäki Jenny Koren
Publish Date: 2010/09/03
Volume: 38, Issue: 3, Pages: 197-225
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Abstract

This paper presents robust algorithms to deconvolve discrete noised signals and images The idea behind the algorithms is to solve the convolution equation separately in different frequency bands This is achieved by using spline wavelet packets The solutions are derived as linear combinations of the wavelet packets that minimize some parameterized quadratic functionals Parameters choice which is performed automatically determines the tradeoff between the solution regularity and the initial data approximation This technique which id called Spline Harmonic Analysis provides a unified computational scheme for the design of orthonormal spline wavelet packets fast implementation of the algorithm and an explicit representation of the solutions The presented algorithms provide stable solutions that accurately approximate the original objects

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Other Papers In This Journal:
  1. Rank Estimation in Missing Data Matrix Problems
  2. Generalized Fourier Descriptors with Applications to Objects Recognition in SVM Context
  3. A Unified Framework for Detecting Groups and Application to Shape Recognition
  4. Improving Deriche-style Recursive Gaussian Filters
  5. Homogeneous Penalizers and Constraints in Convex Image Restoration
  6. Statistical Multiresolution Estimation for Variational Imaging: With an Application in Poisson-Biophotonics
  7. Statistical Tests of Anisotropy for Fractional Brownian Textures. Application to Full-field Digital Mammography
  8. Variational Texture Synthesis with Sparsity and Spectrum Constraints
  9. A Multi-Orientation Analysis Approach to Retinal Vessel Tracking
  10. Full Multiresolution Active Shape Models
  11. Image Denoising Using Directional Adaptive Variable Exponents Model
  12. Sparse Representation Shape Models
  13. Efficient Binary Tomographic Reconstruction
  14. Incremental Principal Component Pursuit for Video Background Modeling
  15. Multivariate Median Filters and Partial Differential Equations
  16. Unified Computation of Strict Maximum Likelihood for Geometric Fitting
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