To: “Automatic 3-D interpretation of potential‐field data using analytic signal derivatives,” by N. Debeglia and J. Corpel (January‐February 1997 GEOPHYSICS, 62, p. 87–96)

doi:10.1190/1.1444238

To: “Automatic 3-D interpretation of potential‐field data using analytic signal derivatives,” by N. Debeglia and J. Corpel (January‐February 1997 GEOPHYSICS, 62, p. 87–96)

Geophysics ◽

10.1190/1.1444238 ◽

1997 ◽

Vol 62 (4) ◽

pp. 1346-1346

Keyword(s):

Potential Field ◽

Field Data ◽

Analytic Signal ◽

Potential Field Data ◽

Computation Algorithms

When we sent the last revision of our paper to Geophysics, we had not yet received the March‐April 1996 issue of Geophysics and read the paper by Hsu et al. Thereby it could not be included in the references used to assess the method and write the paper. We note some convergences between the two approaches despite the fact that the depth computation algorithms are quite different.

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Balancing images of potential-field data

Geophysics ◽

10.1190/1.3096615 ◽

2009 ◽

Vol 74 (3) ◽

pp. L17-L20 ◽

Cited By ~ 47

Author(s):

G. R. Cooper

Keyword(s):

Potential Field ◽

Field Data ◽

Large Range ◽

Signal Amplitude ◽

Analytic Signal ◽

Aeromagnetic Data ◽

Hilbert Transforms ◽

Potential Field Data ◽

Total Gradient ◽

Data Source

Horizontal and vertical gradients, and filters based on them (such as the analytic signal), are used routinely to enhance detail in aeromagnetic data. However, when the data contain anomalies with a large range of amplitudes, the filtered data also will contain large and small amplitude responses, making the latter hard to see. This study suggests balancing the analytic signal amplitude (sometimes called the total gradient) by the use of its orthogonal Hilbert transforms, and shows that the balanced profile curvature can be an effective method of enhancing potential-field data. Source code is available from the author on request.

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Direct Analytic Signal Interpretation of Potential Field Data Using 2-D Hilbert Transform

Chinese Journal of Geophysics ◽

10.1002/cjg2.1637 ◽

2011 ◽

Vol 54 (4) ◽

pp. 551-559 ◽

Cited By ~ 2

Author(s):

Yao LUO ◽

Ming WANG ◽

Feng LUO ◽

Song TIAN

Keyword(s):

Hilbert Transform ◽

Potential Field ◽

Field Data ◽

Analytic Signal ◽

Potential Field Data

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Toward a three‐dimensional automatic interpretation of potential field data via generalized Hilbert transforms: Fundamental relations

Geophysics ◽

10.1190/1.1441706 ◽

1984 ◽

Vol 49 (6) ◽

pp. 780-786 ◽

Cited By ~ 279

Author(s):

Misac N. Nabighian

Keyword(s):

Hilbert Transform ◽

Potential Field ◽

Field Data ◽

Three Dimensional ◽

Analytic Signal ◽

Three Dimensions ◽

Hilbert Transforms ◽

Potential Field Data ◽

Automatic Interpretation ◽

The Hilbert Transform

The paper extends to three dimensions (3-D) the two‐dimensional (2-D) Hilbert transform relations between potential field components. For the 3-D case, it is shown that the Hilbert transform is composed of two parts, with one part acting on the X component and one part on the Y component. As for the previously developed 2-D case, it is shown that in 3-D the vertical and horizontal derivatives are the Hilbert transforms of each other. The 2-D Cauchy‐Riemann relations between a potential function and its Hilbert transform are generalized for the 3-D case. Finally, the previously developed concept of analytic signal in 2-D can be extended to 3-D as a first step toward the development of an automatic interpretation technique for potential field data.

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EDGE DETECTION OF POTENTIAL FIELD DATA USING AN ENHANCED ANALYTIC SIGNAL TILT ANGLE

Chinese Journal of Geophysics ◽

10.1002/cjg2.20239 ◽

2016 ◽

Vol 59 (4) ◽

pp. 341-349

Author(s):

YAN Ting-Jie ◽

WU Yan-Gang ◽

YUAN Yuan ◽

CHEN Ling-Na

Keyword(s):

Edge Detection ◽

Tilt Angle ◽

Potential Field ◽

Field Data ◽

Analytic Signal ◽

Potential Field Data

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Analytic Signal and Deconvolution of Potential Field Data on the Hebridean Margin , NW Scotland

10.3997/2214-4609-pdb.131.gen1997_f038 ◽

1997 ◽

Author(s):

K.E. Rollin

Keyword(s):

Potential Field ◽

Field Data ◽

Analytic Signal ◽

Potential Field Data

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Edge interpretation of potential field data with the normalized enhanced analytic signal

Acta Geodaetica et Geophysica ◽

10.1007/s40328-015-0120-x ◽

2015 ◽

Vol 51 (1) ◽

pp. 125-136 ◽

Cited By ~ 4

Author(s):

Yongming Yao ◽

Danian Huang ◽

Xianli Yu ◽

Bosen Chai

Keyword(s):

Potential Field ◽

Field Data ◽

Analytic Signal ◽

Potential Field Data

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ADDITIONAL COMMENTS ON THE ANALYTIC SIGNAL OF TWO‐DIMENSIONAL MAGNETIC BODIES WITH POLYGONAL CROSS‐SECTION

Geophysics ◽

10.1190/1.1440416 ◽

1974 ◽

Vol 39 (1) ◽

pp. 85-92 ◽

Cited By ~ 196

Author(s):

Misac N. Nabighian

Keyword(s):

Cross Section ◽

Potential Field ◽

Input Data ◽

Field Data ◽

Field Component ◽

Analytic Signal ◽

Two Dimensional ◽

Field Profile ◽

Total Field ◽

Potential Field Data

In a previous paper (Nabighian, 1972), the concept of analytic signal of bodies of polygonal cross‐section was introduced and its applications to the interpretation of potential field data were discussed. The input data for the proposed treatment are the horizontal derivative T(x) of the field profile, whether horizontal, vertical, or total field component. As it is known, this derivative curve can be thought of as being due to thin magnetized sheets surrounding the causative bodies.

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