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        Spatial Convolution Grid Filters (T34)
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1.  USGS  The aim here is to automatically classify   zones in your geophysics grid that derive from distint underlying geology  An example  that makes immediate sense  1s to consider a Total count gamma ray grid  and to look  for regions with like counts  and then making the jump to claim these regions define  closed polygons of like geology     The algorithm works by finding local maximum and minimum anomalies  and  working from these points to find the flexure lines defining the flexural change of  gradient  By iteratively filling the    valleys     and stripping the    hills     in the signal    the so called terracing process   bounding polygons emerge for each region   INTREPID have attempted some further optimizations and extensions to this idea   including writing out GIS polygons  It turns out to be easily stated  as above  but  hard in practise to get anything but the simplest of algorithms to work  This is  similar to a GIS Classifier algorithm     Library   Help   Top    2012 Intrepid Geophysics 4   Back    gt     INTREPID User Manual Spatial Convolution Grid Filters  T34  8  Library   Help   Top 4   Back    gt     Specifying a Tensor Grid Convolution Operation    ml Intrepid Convolution Fitter    File User Defined Kernels Preset Kernels Window Help  Potential     LaPlacian Error     Fourier Coeffs       Smoothed Tensor          Estimate Vertical Component       Two types of operations are supported      Estimation of errors in the tensor grid via the use of a differ
2.  dataset you wish to enhance  using the Spatial Convolution process     Specify Output File Use this option to specify the name for the output grid dataset  you are creating with the Spatial Convolution process     Load Options If you wish to use an existing task specification file to specify the  Spatial Convolution process  use this option to specify the task specification file  required  INTREPID will load the file and use its contents to set all of the  parameters for the Spatial Convolution process   See Displaying options and  using task specification files for more information      Save Options If you wish to save the current Spatial Convolution Grid Filters file  specifications and parameter settings as an task specification file  use this option  to specify the filename and save the file   See Displaying options and using task  specification files for more information      User defined kernel files    User defined kernel    ker  files reside in the install_path kernel directory   When you display the User Defined Kernels menu  INTREPID builds the menu from  the names of files in that directory  When you choose an item from the directory  you  load the corresponding user defined kernel file  See  User defined grid kernels supplied  with INTREPID  in INTREPID spatial and time domain filters and transformations  R13  for  information about the kernels supplied with INTREPID     If you wish to add your own user defined kernels  simply place them in this directory   See C
3. INTREPID User Manual Spatial Convolution Grid Filters  T34  1    Library   Help   Top    q   Back    gt     Spatial Convolution Grid Filters  T34  Top    Spatial Convolution is a method of enhancing a grid dataset  The INTREPID  Spatial Convolution Grid Filters tool compares the value of each grid cell with that of  its neighbours and adjusts it using a formula based on the values of the cell itself and  those of its neighbours  The formulas that it uses are called Kernels     There are three type of kernels     User defined kernels are coefficient matrix filters which are defined in external   ker files  The files specify a weighting for the cell and its neighbours     You can select the kernel that you require from the predefined kernels supplied  with INTREPID or use a kernel you have created  INTREPID displays an  illustration of the kernel     Preset kernels are statistical filters that apply a predefined algorithm to the cell  and its neighbours  These filters are not stored in external  ker files     Tensor grid filters that apply a predefined algorithm to the cell and its  neighbours  The basis function used here is a 3D spatial truncated Fourier series   without the requirement that the samples be regularly spaced  These filters are  not stored in external  ker files     Using the Spatial Convolution Grid Filters tool    Library   Help   Top     gt  gt  To use Spatial Convolution Grid Filters with the INTREPID user interface    1 Choose Grid Convolution from the Filt
4. cify the window  size and any other parameters required  See Specifying a preset kernel for  details      If you select a user defined kernel  specify the edge processing option and whether  to normalise  See Specifying a user defined kernel for details   INTREPID  displays a coloured pattern which graphically illustrates the user defined kernel        a CS    File User Defined Kernels Preset Kernels Tensor Convolutions Window Help             Chop at edge  Normalise weights    l Save Residual    Apply    6 Specify whether you require the output grid dataset to contain the convolved   corrected  values or values of the corrections only  If you wish to save the  corrections only  turn on the Save Residuals box in the Spatial Convolution Grid  Filters main window  See Apply for instructions     7 When you have made specifications and settings according to your requirements   choose Apply  INTREPID will perform the Spatial Convolution process and save  the results to the specified output dataset     8 If you wish to record the specifications for this process in a task specification     job  file in order to repeat a similar task later or for some other reason  use  Save Options from the File menu   See Specifying input and output files for  detailed instructions      9 If you wish to repeat the process  repeat steps 2   8  varying the kernels   parameters and or data files as required     10 To exit from Spatial Convolution Grid Filters  choose Quit from the File menu     To vie
5. el files have the extension   ker     Next  INTREPID displays the Kernel Filter Attributes dialog box     Kernel Filter Attributes  C Chop Kernel  C Null Kernel      Normalise    _OK   Cancel         3 Specify the parameters then choose OK     Library   Help   Top    2012 Intrepid Geophysics 4   Back    gt     INTREPID User Manual Spatial Convolution Grid Filters  T34  5  Library   Help   Top 4   Back    gt     Kernel filter attributes  Chop kernel   Null kernel    When INTREPID is processing the edge of the grid  the convolution formula may  require values from cells that do not exist because they would be outside the grid   You can use the Chop Kernel   Null Kernel option buttons to specify the action that  INTREPID should take at the edge of the grid     Chop Kernel If you choose this option  INTREPID will reduce the number of cells  used in the kernel at the edges of the grid so that it does not attempt to refer to  nonexistent cells     Null Kernel If you choose this option  INTREPID will allocate null to a target cell if  a nonexistent cell is within the scope of the kernel  This is likely to happen along  dataset edges or near data gaps     Normalising kernels    If you turn on the Normalise check box  INTREPID will adjust the kernel so that the  sum of its weights is one  The output grid will then have the same mean value as the  input grid     Creating and editing user defined convolution kernel files    You can use any text editor to create and edit convolution kern
6. els  You can define  your own from scratch or use a supplied kernel file as a template  If you define  further kernels and store them in install_path kernel with extension  ker   INTREPID will automatically include them in the User Defined Kernels menu  See   User defined convolution kernel    ker  files  in INTREPID spatial and time domain  filters and transformations  R138  for further details     User defined kernel display    INTREPID displays an illustration of the kernel that you have selected in a display  box in the main window     The box contains a matrix of squares  each assigned a colour  The central square  represents the target cell of the formula  The other squares represent the  neighbouring cells that are involved in the formula  The colour of each square  represents the weight that it carries in the kernel formula  Red cells carry the  highest weight and blue cells carry the lowest weight  A green cell carries an average  weight  usually 0      Many of the convolution kernels naturally have the target cell carrying the highest  weight  In these cases the Kernel Illustration has one red square and a number of  ereen and blue squares     Library   Help   Top    2012 Intrepid Geophysics 4   Back    gt     INTREPID User Manual Spatial Convolution Grid Filters  T34  6    Library   Help   Top     lt 4   Back    gt     The number of squares and colours in a kernel illustration box varies according to the  number of cells involved in the formula and the number of di
7. ence of the estimated  tensor from neighbouring cells  to what is contained at the current cell     Estimation of the Local Potential  smoothing this and then re estimating a smoothed  tensor grid     A Fourier Series is fitted to the tensor observations in a local 3 5 3 samples row  pattern  The coefficients are solved for using a Single Value Decomposition so as to  get a best fit in a least squares sense     You can save off the 48 coefficients to a multi band grid  If this coefficients grid  and  the potential grid are the basis for being able to estimate any tensor or vector  component or gradient at every point in the grid  It is surprising how similar the  Potential grid can look to the vertical component of gravity  This is mostly a  mathematical exercise  and it enables a quite viable grid smoothing technique that  contrasts with the MITRE FTG technique     The final option is the estimation of the vertical component of gravity from this set of  coefficients and the potential  As this is derived from a local 5 5 window  it has a lot  of the character of a high passed version of the vertical component     Convolution status and progress reporting    Kernel description  rows  columns    INTREPID displays information in the status area at the top of the Command area of  the Spatial Convolution Grid Filters Main window     INTREPID uses status area to display a brief description of the current kernel and  the number of rows and columns of neighbouring cells that are invo
8. ering menu in the Project Manager  or type  the command cfilter exe  INTREPID displays the Spatial Convolution Grid  Filters Main window           z  Ey Intrepid Convolution Fite MMM    File User Defined Kernels Preset Kernels Tensor Convolutions Window Help              l Save Residual       Apply             2 Ifyou have previously prepared file specifications and parameter settings for  Spatial Convolution Grid Filters  load the corresponding task specification file  using Load Options from the File menu   See Specifying input and output files for  detailed instructions   If all of the specifications are correct in this file  go to step  7  If you wish to modify any settings  carry out these steps as required     3 Specify the grid dataset on which you wish to perform the Spatial Convolution   Choose Open Input Dataset from the File menu   See Specifying input and output  files for detailed instructions      4 Specify the output grid dataset to be created with the results of the process        2012 Intrepid Geophysics 4   Back    gt     INTREPID User Manual Spatial Convolution Grid Filters  T34  2    Library   Help   Top    Library   Help   Top     lt 4   Back    gt     Choose Specify Output File from the File menu   See Specifying input and output  files for detailed instructions      5 Specify the convolution filter you wish to use from the User Defined Kernels    menu  Preset Kernels or Tensor menu     If you select a statistical filter from the Preset Kernels menu  spe
9. fferent weights assigned  to cells  INTREPID automatically selects the numbers of squares and colours to  provide the optimum illustration of each kernel        a  FI Intrepid Convolution Fite  e       File User Defined Kernels Preset Kernels Tensor Convolutions Window Help    Gauss5x_02 ker  Rows 5   Cols 5   Chop at edge  Normalise weights      Save Residual    Apply       Specifying a preset kernel    In addition to the kernels provided in   ker files  the Spatial Convolution Grid Filters  tool has a number of internal filters which apply a predefined algorithm to the cell  and its neighbours  You can specify these using options from the Preset Kernels  menu     Fl Intrepid Convolution Fil  File User Defined Kernels Tensor Convolutions Wine  Median       CNorm          Gaussian Anti alias        Terrace          Local median Filter    Library   Help   Top    This filter adjusts the value of the target cell based on the median value of the cell  and its neighbours in a window     To use the local median filter    Choose Median from the Preset Kernels menu  INTREPID displays the Local  Median Filter for Grid dialog box     Median Filter Box  Window  21    OK   Cancel         Specify the window size  then choose OK        2012 Intrepid Geophysics 4   Back    gt     INTREPID User Manual Spatial Convolution Grid Filters  T34  7  Library   Help   Top 4   Back    gt     See  Local mean   median filters  in INTREPID spatial and time domain filters and  transformations  R13  for fu
10. ile called surv329  job in the current  directory you would use the command    cfilter exe  batch surv329 job    Library   Help   Top    2012 Intrepid Geophysics 4   Back    gt     INTREPID User Manual Spatial Convolution Grid Filters  T34  11  Library   Help   Top 4   Back    gt     Task specification file notes and example    Here is an example of a Spatial Convolution Grid Filters task specification file     Process Begin  Name   Convolve  InputImage   disk1 data mlevel_grid  OutputImage    disk1 data mlevel_C  Parameters Begin  Type   Convolve  Kernel Begin  Kernel    low_pass_ 4 ker   NormaliseWeights   Yes  ChopWeights   Yes  NullWeights   No  Kernel End  Residual   No  Parameters End  Process End    Frequently asked questions  Q  Can I run an AGC filter on a grid     The CNorm  Spatial Contrast Normalisation  filter is a non linear space variant  stretch filter  which enhances the low amplitude  high frequency content and  dampens the high amplitude content  It operates on gridded data  and has a similar  effect to an Automatic Gain Control filter     It is located under Preset Kernels  gt  CNorm    Library   Help   Top    2012 Intrepid Geophysics 4   Back    gt     
11. ing options  To display the current file specifications and parameter settings  choose Report from    the Window menu     File User Defined Kernels Preset Kernels Help  Main  Report    INTREPID displays the Spatial Convolution Grid Filters Report window containing  the task specifications     Using task specification files    You can store sets of file specifications and parameter settings for Spatial  Convolution Grid Filters in task specification    job  files      gt  gt  To create a task specification file with the Spatial Convolution Grid  Filters tool    1 Specify all files and parameters   2 If possible  execute the task  choose Apply  to ensure that it will work     3 Choose Save Options from the File menu  Specify a task specification file   INTREPID will add the extension   job  INTREPID will create the file with the  current parameters     For full instructions on creating and editing task specification files see INTREPID  task specification    job  files  R06      gt  gt  To use a task specification file in an interactive Spatial Convolution Grid  Filters session     Load the task specification    job  file  File menu  Load Options   modify any settings  as required  then choose Apply      gt  gt  To use a task specification file for a batch mode Spatial Convolution Grid  Filters task    Type the command cfilter exe with the switch  batch followed by the name  and  path if necessary  of the task specification file     For example  if you had a task specification f
12. lved in the  formula     Library   Help   Top    2012 Intrepid Geophysics 4   Back    gt     INTREPID User Manual  Library   Help   Top    Apply    Spatial Convolution Grid Filters  T34  9   lt 4   Back    gt     After you have specified the spatial convolution filter required you can apply the filter    to the grid      gt  gt  To apply the filter    1 Use the Save Residual check box in the command area to specify whether to save  1 New filtered grid  turn off  or    2 Values of changes to the grid  turn on      2 Choose Apply  INTREPID will apply the filter and save the results     Help    You can use the Help menu to display help text on the topics shown in the menu    illustration below     P  Intrepid Convolution Fite    Sh SaR         File User Defined Kernels Preset Kernels Tensor Convolutions Window   Help         Spatial Convolution  PDF      INTREPID Contents  PDF       INTREPID Search  PDF       Website Library        Main Window   gt   File       User Defined Kernels       oe el aa es so Et re    Preset Kernels      Window      Terrace      Gauss      Tensor      Task Specification Files      About  prep Tr    Spatial Convolution Grid Filters       To exit from Spatial Convolution Grid Filters choose Quit from the File menu     Library   Help   Top       2012 Intrepid Geophysics    4   Back    gt     INTREPID User Manual Spatial Convolution Grid Filters  T34  10  Library   Help   Top 4   Back    gt     Displaying options and using task specification files  Display
13. reating and editing user defined convolution kernel files for instructions     Library   Help   Top    2012 Intrepid Geophysics 4   Back    gt     INTREPID User Manual Spatial Convolution Grid Filters  T34  4  Library   Help   Top 4   Back    gt     Specifying a user defined kernel    You can select the kernel that you require from the predefined kernels supplied with  INTREPID     You can also edit the kernels supplied or create your own kernel      gt  gt  To select an INTREPID predefined Convolution kernel  1 Under the User Defined Kernels menu  choose Select From List        P Intrepid Convolution Filter Il  Sclect Convolve Kernel EE       File   User Defined Kernels   Preset Kernel     3x3ave ker a  Select F Li 3x3tri ker  settee   5x5ave ker    5x5tri  ker   x ave ker   x triker  9x9ave ker  9x9tri ker  East_West ker  Gauss3x_0d6 ker  Gauss5x_02 ker  North_East ker  North_South ker  North_  West ker  bandpass _3_5 ker  down_cont_1 ker  down_cont_2 ker  down_cont_half ker  downhalf ker  firstvertical ker  h_edge ker  h_edge_5 ker  high_pass_4 ker  hz10_2nd_deriv ker  hz13_2nd_deriv ker  hz1960_2nd_deriv ker  low_pass_4 ker  nsgrad ker  residual_1 _ker  residual_2_ ker  secondvertical ker  sharpedge ker      i up_cont_1 ker  up_cont_2 ker                      nomitre_16m isi    up_cont_half ker  wiener ker       2 From the Select Kernel list  choose the filter option you wish to use     The Select Kernel list lists all files in the install_path kernel directory  The  kern
14. rther instructions     Contrast Normalisation Filter    This is a non linear space variant stretch filter that will enhance the low amplitude   high frequency content  and dampen the high amplitude content  It has a similar  effect to an AGC  Automatic Gain Control  filter      gt  gt  To use a contrast normalisation filter  Choose CNorm from the Preset Kernels menu     See  Contrast normalisation filter for grid data  in INTREPID spatial and time  domain filters and transformations  R18  for further explanation of parameters     Gaussian Anti alias filter    This is a standard convolution filter whose aim is to look for non Gaussian aspects to  the signal in any one direction within the window and normalise the grid values by  nudging     The argument for this style of filter arises when you have much higher frequency  data along survey profile lines  as you may have a sample every 6 meters  than across  the lines  as the line seperation maybe say 100m  with a 25m cellsize  Often  a low  pass filter such as a Butterworth  can be applied along the profile  to more or less  match the along profile wavelengths  to what can be successfully captured in the  across line direction  In the case mentioned above  wavelengths less than 100m  if left  in the profiles while gridding  will cause frequency aliasing to occur in the grid  This  Gaussian spatial convolution filter can then be applied to try and remedy the  situation     Terracing filter    This is an interesting idea from the
15. w the current set of specifications choose Report from the Window menu   INTREPID displays the Spatial Convolution Grid Filters Report window  See  Displaying options and using task specification files for details and an example of a  set of specifications     You can view Help information by choosing options from the Help menu  See Help      You can execute Spatial Convolution Grid Filters in batch mode using a task       2012 Intrepid Geophysics 4   Back    gt     INTREPID User Manual Spatial Convolution Grid Filters  T34  3  Library   Help   Top  lt 4   Back    gt     specification    job  file that you have previously prepared  See Displaying options  and using task specification files for details     Specifying input and output files    To use Spatial Convolution Grid Filters  you will need to specify the name of the grid  dataset you wish to process and a name for the output grid dataset containing the  results     Choose the options as required from the File menu        E  Intrepid Convolution Filter W       File   User Defined Kernels Preset Kernels  Open Input Grid Dataset     Specify Output File     Load Options     Save Options         Quit       In each case INTREPID displays an Open or Save As dialog box  Use the directory  and file selector to locate the file you require   See  Specifying input and output files   in Introduction to INTREPID  R02  for information about specifying files      File menu options    Open Input Dataset Use this option to specify a grid
    
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