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

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 bicubi...

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Bibliographic Details
Published inIEEE transactions on image processing Vol. 7; no. 12; pp. 1725 - 1730
Main Authors Maltz, J., De Mello Koch, R., Willis, A.
Format Journal Article
LanguageEnglish
Published New York, NY IEEE 01.12.1998
Institute of Electrical and Electronics Engineers
Subjects
Applied sciences
Discrete cosine transforms
Equations
Exact sciences and technology
Filters
Geologic measurements
Geophysical measurements
Hilbert space
Image processing
Information processing
Information, signal and communications theory
Interpolation
Kernel
Magnetic field measurement
Signal processing
Telecommunications and information theory
Interpolation
Laplace equation
Hilbert space
Image processing
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Summary: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.
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ISSN:1057-7149
1941-0042
DOI:10.1109/83.730385