SINGULARITY OF CARDINAL INTERPOLATION WITH SHIFTED BOX SPLINES Academic Article uri icon

abstract

  • Cardinal interpolation by integer translates of shifted box splines Mn, = Mnnn(. + ) on the three-direction mesh is studied. Let = (- 1 2, 1 2)2 ((s, t): |s - t| < 1 2). In a previous work by these authors it was shown that the symbol of Mn, does not vanish on the torus T2 for all in the shift region . In this work, it is shown that the symbol of Mn, always vanishes somewhere on T2 if [- 1 2, 1 2]2. In other words the cardinal interpolation operator corresponding to Mn, , [- 1 2, 1 2]2, n = 1, 2, , is invertible if and only if . 1993 Academic Press, Inc.

published proceedings

  • JOURNAL OF APPROXIMATION THEORY

author list (cited authors)

  • CHUI, C. K., STOCKLER, J., & WARD, J. D.

citation count

  • 2

complete list of authors

  • CHUI, CK||STOCKLER, J||WARD, JD

publication date

  • January 1993