Given n pairwise distinct and arbitrarily spaced points P_i in a domain D of the x-y plane and n real numbers f_i, consider the problem of computing a bivariate function f(x,y) of class C1 in D whose values in P_i are exactly f_i, i=1,...,n, and whose first or second order partial derivatives satisfy appropriate equality and inequality constraints on a given set of p points Q_l in D.In this paper we present a method for solving the above problem, which is designed for extremely large data sets. A step of this method requires the solution of a large scale quadratic programming (QP) problem. The main purpose of this work is to analyse an iterative method for determining the solution of this QP problem: such a method is very efficient and well suited for parallel implementation on a multiprocessor system.

C1 surface interpolation with constraints / Galligani, Emanuele. - In: NUMERICAL ALGORITHMS. - ISSN 1017-1398. - STAMPA. - 5:(1993), pp. 549-555.

C1 surface interpolation with constraints

GALLIGANI, Emanuele
1993

Abstract

Given n pairwise distinct and arbitrarily spaced points P_i in a domain D of the x-y plane and n real numbers f_i, consider the problem of computing a bivariate function f(x,y) of class C1 in D whose values in P_i are exactly f_i, i=1,...,n, and whose first or second order partial derivatives satisfy appropriate equality and inequality constraints on a given set of p points Q_l in D.In this paper we present a method for solving the above problem, which is designed for extremely large data sets. A step of this method requires the solution of a large scale quadratic programming (QP) problem. The main purpose of this work is to analyse an iterative method for determining the solution of this QP problem: such a method is very efficient and well suited for parallel implementation on a multiprocessor system.
1993
5
549
555
C1 surface interpolation with constraints / Galligani, Emanuele. - In: NUMERICAL ALGORITHMS. - ISSN 1017-1398. - STAMPA. - 5:(1993), pp. 549-555.
Galligani, Emanuele
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

Licenza Creative Commons
I metadati presenti in IRIS UNIMORE sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono rilasciati con licenza Attribuzione 4.0 Internazionale (CC BY 4.0), salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/593939
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 4
  • ???jsp.display-item.citation.isi??? ND
social impact