Title :
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
fDate :
12/1/1998 12:00:00 AM
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;
Journal_Title :
Image Processing, IEEE Transactions on
