6533b85ffe1ef96bd12c13db

RESEARCH PRODUCT

A Smoothed Particle Image Reconstruction method

Elena ToscanoA. TortoriciElisa FrancomanoG.m. Di Blasi

subject

Nearest neighboring searchMathematical optimizationAlgebra and Number TheoryConsistency restoringNumerical analysisMeshless particle methodContext (language use)Image processingFunction (mathematics)Iterative reconstructionSmoothed-particle hydrodynamicsSettore MAT/08 - Analisi NumericaComputational MathematicsImage processingMesh generationImage reconstruction reconstructionTheory of computationSmoothed particle Hydrodinamics methodAlgorithmMathematics

description

Many image processing techniques work with scattered data distribution usually employing grid based methods leading to numerical problems. To address this issue, a numerical method avoiding mesh generation can be used. Such a method performs an integral representation by means of a smoothing kernel function and, in the discrete formulation, involves domain particles. In this paper the meshless Smoothed Particle Hydrodynamics method is proposed in the Image Reconstruction context and a new computational strategy called Smoothed Particle Image Reconstruction is presented; the new method is based on a scatter approach and several innovative ideas are introduced in order to improve the computational efficiency and numerical accuracy. Tests are carried out validating the effectiveness of the approach.

yearjournalcountryeditionlanguage
2010-09-18Calcolo
https://doi.org/10.1007/s10092-010-0028-3