QUADRATIC SPLINE QUASI-INTERPOLANTS ON BOUNDED DOMAINS OF R^d, d = 1, 2, 3

@inproceedings{Sablonnire2003QUADRATICSQ,
  title={QUADRATIC SPLINE QUASI-INTERPOLANTS ON BOUNDED DOMAINS OF R^d, d = 1, 2, 3},
  author={Paul Sablonni{\`e}re},
  year={2003}
}
We study some C1 quadratic spline quasi-interpolants on bounded domains  ⊂ Rd, d = 1, 2, 3. These operators are of the form Q f (x) = ∑ k∈K () μk( f )Bk(x), where K () is the set of indices of B-splines Bk whose support is included in the domain  and μk( f ) is a discrete linear functional based on values of f in a neighbourhood of xk ∈ supp(Bk). The data points x j are vertices of a uniform or nonuniform partition of the domainwhere the function f is to be approximated. Beyond the… CONTINUE READING

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References

Publications referenced by this paper.
Showing 1-10 of 44 references

IBANẼZ M.J. AND SABLONNIÈRE P., Near-best quasiinterpolants on uniform and nonuniform partitions in one and two dimensions, in: “Curve and surface fitting, Saint Malo 2002

D. BARRERA
2003
View 4 Excerpts
Highly Influenced

AND SAHAKIAN A.A., Spline functions and multivariate interpolation, Kluwer

B. D. BOJANOV, H. A. HAKOPIAN
1993
View 7 Excerpts
Highly Influenced

Boolean methods in interpolation and approximation

F. J. DELVOS, W. SCHEMPP
Longman Scientific and Technical • 1989
View 5 Excerpts
Highly Influenced

n-th order polynomial spline blending, in: “Multivariate approximation theory III”, (Eds

G. BASZENSKI
Schempp W. and Zeller K.), • 1985
View 5 Excerpts
Highly Influenced

BB-coefficients of bivariate quadratic B-splines on rectangular domains with non-uniform criss-cross triangulations

P. SABLONNIÈRE
Prépublication IRMAR 03-14, • 2003
View 3 Excerpts

Cuasi-interpolantes spline discretos con norma casi minima : teoria y aplicaciones

M. J. IBAÑEZ-PÉREZ
PhD Thesis, Universidad de Granada, • 2003
View 2 Excerpts

H-splines and quasi-interpolants on a three directional mesh, in “Advanced problems in constructive approximation

P. SABLONNIÈRE
(Eds. Buhmann M. and Mache D.H.), ISNM 142, • 2003

On some multivariate quadratic spline quasi - interpolants on bounded domains , in : “ Modern developments in multivariate approximation ”

W. Hausmann, K. Jetter
H . ) , ISNM 142 , Birkhäuser - Verlag , Basel • 2003

A practical guide to splines, Springer-Verlag, New-York 2001 (revised edition)

C. DE BOOR
2001
View 3 Excerpts

Simultaneous approximation by tensor product operators, Technical report

L. BEUTEL, H. GONSKA
SM-DU-504, Universität Duisburg, • 2001
View 3 Excerpts

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