A new class of interpolating wavelets

Author

Quevedo, J.U. ; Kakadiaris, Ioannis A. ; Shi, Z. ; Kouri, D.J.

Author_Institution

Dept. of Phys., Houston Univ., TX, USA

Volume

2

fYear

1999

fDate

36434

Abstract

We present a method for producing a new class of nonseparable interpolating wavelets. The method is based in the property that the scaling function behaves as a generalized delta sequence which allows the construction of the father wavelet using a novel polynomial functional-distributed approximating functional (DAF) and the Quincunx sampling. We present encouraging results from the application of these wavelet-DAFs to the problem of MR image interpolation. The algorithm exhibits an average PSNR improvement of 3dB over bilinear and bicubic techniques

Keywords

biomedical MRI; interpolation; medical image processing; wavelet transforms; Quincunx sampling; algorithm; average PSNR improvement; father wavelet; generalized delta sequence; magnetic resonance image interpolation; nonseparable interpolating wavelets; polynomial functional-distributed approximating functional; scaling function; Biomedical imaging; Computer science; Filters; Image reconstruction; Image sampling; Interpolation; PSNR; Physics; Pixel; Polynomials;

fLanguage

English

Publisher

ieee

Conference_Titel

[Engineering in Medicine and Biology, 1999. 21st Annual Conference and the 1999 Annual Fall Meetring of the Biomedical Engineering Society] BMES/EMBS Conference, 1999. Proceedings of the First Joint

Conference_Location

Atlanta, GA

ISSN

1094-687X

Print_ISBN

0-7803-5674-8

Type

conf

DOI

10.1109/IEMBS.1999.804108

Filename

804108