Novel RBF Approximation Method Based on Geometrical Properties for Signal Processing

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F19%3A43958008" target="_blank" >RIV/49777513:23520/19:43958008 - isvavai.cz</a>

Result on the web

<a href="http://afrodita.zcu.cz/~skala/publications.htm" target="_blank" >http://afrodita.zcu.cz/~skala/publications.htm</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1109/Informatics47936.2019.9119276" target="_blank" >10.1109/Informatics47936.2019.9119276</a>

Result language

angličtina

Original language name

Novel RBF Approximation Method Based on Geometrical Properties for Signal Processing

Original language description

Interpolation and approximation methods are widely used in many areas. They can be divided to methods based on meshing (tessellation) of the data domain and to meshless (meshfree) methods, which do not require the domain tessellation of scattered data. Scattered n-dimensional data radial basis function (RBF) interpolation and approximation leads to a solution of linear system of equations. This contribution presents a new approach to the RBF approximation based on analysis of geometrical properties of signals, i.e. sampled curves. Also a newly developed radial basis function was used and proved better precision of approximation. Experimental comparison of several RBF functions (Gauss, Thin-Plate Spline, CS-RBF and a new proposed RBF) is described with analysis of their properties. Special attention was taken to the precision of approximation and conditionality issues. The proposed approach can be extended to a higher dimensional case and for vector data, e.q. fluid flow, too.

Czech name

—

Czech description

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Type

D - Article in proceedings

CEP classification

—

OECD FORD branch

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project

<a href="/en/project/GA17-05534S" target="_blank" >GA17-05534S: Meshless methods for large scattered spatio-temporal vector data visualization</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2019

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection

INFORMATICS 2019

ISBN

978-1-72813-181-8

ISSN

—

e-ISSN

—

Number of pages

6

Pages from-to

451-456

Publisher name

IEEE

Place of publication

Piscataway

Event location

Poprad

Event date

Nov 20, 2019

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

000610452900074