Combination of structure tensor and tilt angle in the edge detection of potential field data
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摘要
Edge detection is a commonly requested task in the interpretation of potential field data. Different methods have different results for varied depths and shapes of geological bodies. In this paper,we propose using the combination of structure tensor and tilt angle to detect the edges of the sources,which can display the edges of shallow and deep bodies simultaneously. Through tests on synthetic potential field data,it is obvious that the proposed edge detection methods can display the sources edges more clearly and precisely,compared with other commonly used methods. The application on real potential field data shows similar result,obtaining the edges of layers and faults clearly. In addition,another advantage of the new method is its insensitivity to noise.
Edge detection is a commonly requested task in the interpretation of potential field data. Different methods have different results for varied depths and shapes of geological bodies. In this paper,we propose using the combination of structure tensor and tilt angle to detect the edges of the sources,which can display the edges of shallow and deep bodies simultaneously. Through tests on synthetic potential field data,it is obvious that the proposed edge detection methods can display the sources edges more clearly and precisely,compared with other commonly used methods. The application on real potential field data shows similar result,obtaining the edges of layers and faults clearly. In addition,another advantage of the new method is its insensitivity to noise.
Edge detection is a commonly requested task in the interpretation of potential field data. Different methods have different results for varied depths and shapes of geological bodies. In this paper,we propose using the combination of structure tensor and tilt angle to detect the edges of the sources,which can display the edges of shallow and deep bodies simultaneously. Through tests on synthetic potential field data,it is obvious that the proposed edge detection methods can display the sources edges more clearly and precisely,compared with other commonly used methods. The application on real potential field data shows similar result,obtaining the edges of layers and faults clearly. In addition,another advantage of the new method is its insensitivity to noise.
引文
Blakelyp R J.1995.Potential theory in gravity and magnetic applications.Cambridge:Cambridge University Press,1-358.
Cooper G R J,Cowan D R.2006.Enhancing potential field data using filters based on the local phase.Computers&Geosciences,32(10):1585-1591.
Cooper G R J,Cowan D R.2008.Edge enhancement of potential-field data using normalized statistics.Geophysics,71(3):H1-H4.
Cordell L,Grauch V J S.1985.Mapping basement magnetization zones from aeromagnetic data in the San Juan Basin,New Mexico//Hinze W J.Utility of regional gravity and magnetic anomaly maps.Society of Exploration Geophysicists USA,181-197.
Evjen H M.1936.The place of the vertical gradient in gravitational interpretations.Geophysics,1(1):127-136.
F9rstner W.1986.A feature based corresponding algorithm for image matching.International Archive of Photogrammetry and Remote Sensing,26:150-166.
F9rstner W.1994.A framework for low level feature extraction//European Conference on Computer Vision,Berlin,383-394.
Harris C.1988.A combined corner and edge detector//Proceedings of Alvey Vision Conference 1988,147-151.
Hsu S,Sibuet J C,Shyu C.1996.High-resolution detection of geologic boundaries from potential field anomalies:an enhanced analytic signal technique.Geophysics,61(2):373-386.
Jeong W K,Whitaker R,Dobin M.2006.Interactive 3D seismic fault detection on the Graphics Hardware//Volume Graphics,111-118.
Ma G Q,Li L L.2012.Edge detection in potential fields with the normalized total horizontal derivative.Computers&Geosciences,41:83-87.
Miller H G,Singh V.1994.Potential field tilt-a new concept for location of potential field sources.Journal of Applied Geophysics,32(2):213-217.
Nabighian M N.1984.Toward a three-dimensional automatic interpretation of potential field data via generalized Hilbert transforms:fundamental relations.Geophysics,49(6):780-786.
Nagel H H,Gehrke A.1998.Spatiotemporally adaptive estimation and segmentation of OF-fields//European Conference on Computer Vision,Berlin,86-102.
Rao A R,Schunck B G.1991.Computing oriented texture Fields.Graphical Models and Image Processing,53(2):157-185.
Roest W R,Verhoef J,Pilkington M.1991.Magnetic interpretation using the 3-D analytic signal.Geophysics,57(1):116-125.
Rohr K.1994.Localization properties of direct corner detectors.Journal of Mathematical Imaging&Vision,4(2):139-150.
Sertcelik I,Kafadar O.2012.Application of edge detection to potential field data using eigenvalue analysis of structure tensor.Journal of Applied Geophysics,84:86-94.
Thurston J B,Smith R S.1997.Automatic conversion of magnetic data to depth,dip and susceptibility contrast using the SPI(TM)method.Geophysics,62(3):807-813.
Verduzco B,Fairhead J D,Green C M,et al.2012.New insights into magnetic derivatives for structural mapping.Leading Edge,23(2):116-119.
Wijns C.2005.Theta map:edge detection in magnetic data.Geophysics,70(4):L39-L43.
Cooper G R J,Cowan D R.2006.Enhancing potential field data using filters based on the local phase.Computers&Geosciences,32(10):1585-1591.
Cooper G R J,Cowan D R.2008.Edge enhancement of potential-field data using normalized statistics.Geophysics,71(3):H1-H4.
Cordell L,Grauch V J S.1985.Mapping basement magnetization zones from aeromagnetic data in the San Juan Basin,New Mexico//Hinze W J.Utility of regional gravity and magnetic anomaly maps.Society of Exploration Geophysicists USA,181-197.
Evjen H M.1936.The place of the vertical gradient in gravitational interpretations.Geophysics,1(1):127-136.
F9rstner W.1986.A feature based corresponding algorithm for image matching.International Archive of Photogrammetry and Remote Sensing,26:150-166.
F9rstner W.1994.A framework for low level feature extraction//European Conference on Computer Vision,Berlin,383-394.
Harris C.1988.A combined corner and edge detector//Proceedings of Alvey Vision Conference 1988,147-151.
Hsu S,Sibuet J C,Shyu C.1996.High-resolution detection of geologic boundaries from potential field anomalies:an enhanced analytic signal technique.Geophysics,61(2):373-386.
Jeong W K,Whitaker R,Dobin M.2006.Interactive 3D seismic fault detection on the Graphics Hardware//Volume Graphics,111-118.
Ma G Q,Li L L.2012.Edge detection in potential fields with the normalized total horizontal derivative.Computers&Geosciences,41:83-87.
Miller H G,Singh V.1994.Potential field tilt-a new concept for location of potential field sources.Journal of Applied Geophysics,32(2):213-217.
Nabighian M N.1984.Toward a three-dimensional automatic interpretation of potential field data via generalized Hilbert transforms:fundamental relations.Geophysics,49(6):780-786.
Nagel H H,Gehrke A.1998.Spatiotemporally adaptive estimation and segmentation of OF-fields//European Conference on Computer Vision,Berlin,86-102.
Rao A R,Schunck B G.1991.Computing oriented texture Fields.Graphical Models and Image Processing,53(2):157-185.
Roest W R,Verhoef J,Pilkington M.1991.Magnetic interpretation using the 3-D analytic signal.Geophysics,57(1):116-125.
Rohr K.1994.Localization properties of direct corner detectors.Journal of Mathematical Imaging&Vision,4(2):139-150.
Sertcelik I,Kafadar O.2012.Application of edge detection to potential field data using eigenvalue analysis of structure tensor.Journal of Applied Geophysics,84:86-94.
Thurston J B,Smith R S.1997.Automatic conversion of magnetic data to depth,dip and susceptibility contrast using the SPI(TM)method.Geophysics,62(3):807-813.
Verduzco B,Fairhead J D,Green C M,et al.2012.New insights into magnetic derivatives for structural mapping.Leading Edge,23(2):116-119.
Wijns C.2005.Theta map:edge detection in magnetic data.Geophysics,70(4):L39-L43.