CS-RBF interpolation of surfaces with vertical faults from scattered data

Diego Izquierdo; María Cruz López De Silanes; María Cruz Parra; Juan José Torrens

doi:10.1016/j.matcom.2013.05.015

CS-RBF interpolation of surfaces with vertical faults from scattered data

Diego Izquierdo
, María Cruz López De Silanes
, María Cruz Parra
, Juan José Torrens

University of Zaragoza
Campus de Arrrosadia s/n

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, the problem of the interpolation of explicit surfaces with vertical faults from scattered data is studied. A new interpolation scheme for compactly supported radial basis functions is proposed which is well adapted to our purpose. This method is based on the construction of an interpolant of the same type in dimension 3 by moving the centers to a convenient auxiliary bivariate explicit surface. Several numerical and graphical examples are shown which illustrate the efficiency of the method.

Original language	English
Pages (from-to)	11-23
Number of pages	13
Journal	Mathematics and Computers in Simulation
Volume	102
DOIs	https://doi.org/10.1016/j.matcom.2013.05.015
Publication status	Published - 1 Jan 2014
Externally published	Yes

Keywords

Explicit surface
Radial basis function
Scattered data interpolation
Vertical fault

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10.1016/j.matcom.2013.05.015

Cite this

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title = "CS-RBF interpolation of surfaces with vertical faults from scattered data",

abstract = "In this paper, the problem of the interpolation of explicit surfaces with vertical faults from scattered data is studied. A new interpolation scheme for compactly supported radial basis functions is proposed which is well adapted to our purpose. This method is based on the construction of an interpolant of the same type in dimension 3 by moving the centers to a convenient auxiliary bivariate explicit surface. Several numerical and graphical examples are shown which illustrate the efficiency of the method.",

keywords = "Explicit surface, Radial basis function, Scattered data interpolation, Vertical fault",

author = "Diego Izquierdo and \{De Silanes\}, \{Mar{\'i}a Cruz L{\'o}pez\} and Parra, \{Mar{\'i}a Cruz\} and Torrens, \{Juan Jos{\'e}\}",

year = "2014",

month = jan,

day = "1",

doi = "10.1016/j.matcom.2013.05.015",

language = "English",

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journal = "Mathematics and Computers in Simulation",

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T1 - CS-RBF interpolation of surfaces with vertical faults from scattered data

AU - Izquierdo, Diego

AU - De Silanes, María Cruz López

AU - Parra, María Cruz

AU - Torrens, Juan José

PY - 2014/1/1

Y1 - 2014/1/1

N2 - In this paper, the problem of the interpolation of explicit surfaces with vertical faults from scattered data is studied. A new interpolation scheme for compactly supported radial basis functions is proposed which is well adapted to our purpose. This method is based on the construction of an interpolant of the same type in dimension 3 by moving the centers to a convenient auxiliary bivariate explicit surface. Several numerical and graphical examples are shown which illustrate the efficiency of the method.

AB - In this paper, the problem of the interpolation of explicit surfaces with vertical faults from scattered data is studied. A new interpolation scheme for compactly supported radial basis functions is proposed which is well adapted to our purpose. This method is based on the construction of an interpolant of the same type in dimension 3 by moving the centers to a convenient auxiliary bivariate explicit surface. Several numerical and graphical examples are shown which illustrate the efficiency of the method.

KW - Explicit surface

KW - Radial basis function

KW - Scattered data interpolation

KW - Vertical fault

U2 - 10.1016/j.matcom.2013.05.015

DO - 10.1016/j.matcom.2013.05.015

M3 - Article

AN - SCOPUS:84901997797

SN - 0378-4754

VL - 102

SP - 11

EP - 23

JO - Mathematics and Computers in Simulation

JF - Mathematics and Computers in Simulation

ER -

CS-RBF interpolation of surfaces with vertical faults from scattered data

Abstract

Keywords

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