A Smoothed Particle Image Reconstruction method

Authors:
G. Di Blasi;E. Francomano;A. Tortorici;E. Toscano
Affiliations:
Dipartimento di Ingegneria Informatica, Università degli Studi di Palermo, Palermo, Italy 90128;Dipartimento di Ingegneria Informatica, Università degli Studi di Palermo, Palermo, Italy 90128;Dipartimento di Ingegneria Informatica, Università degli Studi di Palermo, Palermo, Italy 90128;Dipartimento di Ingegneria Informatica, Università degli Studi di Palermo, Palermo, Italy 90128
Venue:
Calcolo: a quarterly on numerical analysis and theory of computation
Year:
2011

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Abstract

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.