Processing Z gradiometer magnetic data using linear transforms and analytical signal

Denoising magnetic data using steering kernel regression

“…Then, for further iterations the MSE values increase again which, as noted by Takeda et al . () and Takeda (2009), further reduces the variance of the filtered image and also leads to an increased bias (i.e., the result becomes more blurry). Similarly, increasing might result in blurred images because of an increased smoothing effect.…”

“…We describe the SKR denoising method following Takeda et al . (). First, we briefly outline the classical kernel regression framework also known from non‐parametric statistics (e.g., Hardle ).…”

Raster was Yesterday: Using Vector Engines to Process Geophysical Data

“…To facilitate the processing of measured data with neighbourhood vector tools they first have to be converted to polygons from their original raster format. Many methods have been suggested to delineate geophysical anomalies in raster data, most notably based on the calculation of gradients, for example the normalized gradient (Ma and Li, 2012) or the analytical signal (Nabighian, 1972;Tabbagh et al, 1997). Other methods are linked to the specific properties of certain geophysical data, such as Euler deconvolution of magnetometer surveys (Reid et al, 1990) or other complex parameters (Stampolidis and Tsokas, 2012).…”

Determination of grave locations in Dedemezari Necropolis (Western Turkey) using magnetic field derivatives

“…The three-dimensional AS amplitude of a total magnetic anomaly map, introduced by Roest et al (1992), has been a common technique for determining anomalies over their sources. Archaeological applications of three-dimensional AS have been illustrated by many researchers (Tabbagh et al, 1997;Tsokas and Hansen, 2000;Jeng et al, 2003;Buyuksarac et al, 2006;Arisoy et al, 2007). The amplitude of the three-dimensional AS is given by the square root of the squared sum of two horizontal and vertical derivatives of the magnetic field (Equation 1) (Roest et al, 1992) Aðx; yÞ j j¼ ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi ffi @T @x…”