Abstract
The paper presents an analytical and numerical study of two-dimensional (2-D) Hilbert transform method as applied to the three-dimensional (3-D) potential field (gravity) data for interpretation and image sharpening. The relations of two-dimensional (2-D) Hilbert transform in time and frequency domains are presented and a numerical algorithm package has been developed.
Application of 2-D Hilbert transform in quantitative interpretation of gravity anomalies due to multiprismatic bodies as well as their derivatives are investigated and used to test the 2-D Hilbert transform technique. The results achieved by using this relatively new technique are excellent.
Image sharpening techniques of the second vertical derivative of gravity effect due to multiprismatic bodies are useful primarily as enhancement tools for highlighting edges in an image. These techniques can be achieved either by differentiation or by highpass filtering