Reproducing kernel Hilbert space method for optimal interpolation of potential field data

Author

Maltz, Jonathan ; De Mello Koch, R. ; Willis, Andrew

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA

Volume

7

Issue

12

fYear

1998

fDate

12/1/1998 12:00:00 AM

Firstpage

1725

Lastpage

1730

Abstract

The RKHS-based optimal image interpolation method, presented by Chen and de Figueiredo (1993), is applied to scattered potential field measurements. The RKHS which admits only interpolants consistent with Laplace´s equation is defined and its kernel, derived. The algorithm is compared to bicubic spline interpolation, and is found to yield vastly superior results

Keywords

Hilbert spaces; Laplace equations; electromagnetic wave scattering; geophysical signal processing; image processing; interpolation; magnetic fields; optimisation; Laplace´s equation; RKHS-based optimal image interpolation method; algorithm; bicubic spline interpolation; geophysics; image interpolation; linear partial differential equation; magnetic potential field data; mineral exploration; optimal interpolation; reproducing kernel Hilbert space method; scattered potential field measurements; stochastic image model; Discrete cosine transforms; Equations; Filters; Geologic measurements; Geophysical measurements; Hilbert space; Information processing; Interpolation; Kernel; Magnetic field measurement;

fLanguage

English

Journal_Title

Image Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7149

Type

jour

DOI

10.1109/83.730385

Filename

730385