─ multidimensional gridded data: structure, operations,
                                      and applications



           Barrodale Computing Services Ltd. (BCS)
What is Gridded Data?
 Multi-dimensional rectangular array of grid points
  containing values
 Gridded data occurs in many application areas
 Aspects of gridded data:
    Dimensionality
    Spacing
    Number and type of values stored at each grid point
    Types of extractions



                                                           2
Gridded Data Application Areas
Modeling applications
   Meteorology
   Oceanography
   Climate Modeling
   Fluid Dynamics
Data analysis applications
 Nondestructive testing
 Geophysics
 Medical Imaging

                                 3
Grid Concepts
   Dimensionality: 1D, 2D, 3D, or 4D
   Spacing: equal or non-equal
   Number and types of values stored at grid points
   Missing values
   Data can be extracted from grids in many different ways...




                                                                 4
Extracting Data From Grids
 The extracted grid may have the same number of
  dimensions as the original grid, or it may have fewer
 An axis in the extracted grid may be parallel to an axis in
  the original grid, or it may not be
 The grid points in the extracted grid may or may not
  coincide with grid points in the original grid




                                                                5
In summary ...
                                                                                            40m,30m,-98m




                                                                                            40m,30m,-99m




DEPTH
                                               (t3,s3,p3)                                                                       2D Extraction

  `                                                                                         40m,30m,-100m



                                                                              NORTHING

                                                                            40m,20m,-100m
                                           (t1,s1,p1)        (t2,s2,p2)                                                                                         40m,30m,-98m


 10m,10m,-100m   20m,10m,-100m        30m,10m,-100m         40m,10m,-100m                                                                       30m,24m,-98m


                                 EASTING                                                                        10m,10m,-98m



                                                                                                                                                                40m,30m,-99m


                                                                                                                                                30m,24m,-99m

                                                                                                      DEPTH
                                                                                                                10m,10m,-99m




                                                                                                            `                                                   40m,30m,-100m


                                                                                                                                                30m,24m,-100m



                                                                                                                10m,10m,-100m




                                                                                                                                                                           6
For more information …
 Website: http://www.barrodale.com




 Contact: BCSInfo@barrodale.com or (250) 412-7428
 More: http://www.barrodale.com/GridBladeinDepth.pdf
                                                        7

Gridded data primer

  • 1.
    ─ multidimensional griddeddata: structure, operations, and applications Barrodale Computing Services Ltd. (BCS)
  • 2.
    What is GriddedData?  Multi-dimensional rectangular array of grid points containing values  Gridded data occurs in many application areas  Aspects of gridded data:  Dimensionality  Spacing  Number and type of values stored at each grid point  Types of extractions 2
  • 3.
    Gridded Data ApplicationAreas Modeling applications  Meteorology  Oceanography  Climate Modeling  Fluid Dynamics Data analysis applications  Nondestructive testing  Geophysics  Medical Imaging 3
  • 4.
    Grid Concepts  Dimensionality: 1D, 2D, 3D, or 4D  Spacing: equal or non-equal  Number and types of values stored at grid points  Missing values  Data can be extracted from grids in many different ways... 4
  • 5.
    Extracting Data FromGrids  The extracted grid may have the same number of dimensions as the original grid, or it may have fewer  An axis in the extracted grid may be parallel to an axis in the original grid, or it may not be  The grid points in the extracted grid may or may not coincide with grid points in the original grid 5
  • 6.
    In summary ... 40m,30m,-98m 40m,30m,-99m DEPTH (t3,s3,p3) 2D Extraction ` 40m,30m,-100m NORTHING 40m,20m,-100m (t1,s1,p1) (t2,s2,p2) 40m,30m,-98m 10m,10m,-100m 20m,10m,-100m 30m,10m,-100m 40m,10m,-100m 30m,24m,-98m EASTING 10m,10m,-98m 40m,30m,-99m 30m,24m,-99m DEPTH 10m,10m,-99m ` 40m,30m,-100m 30m,24m,-100m 10m,10m,-100m 6
  • 7.
    For more information…  Website: http://www.barrodale.com  Contact: BCSInfo@barrodale.com or (250) 412-7428  More: http://www.barrodale.com/GridBladeinDepth.pdf 7

Editor's Notes

  • #3 Gridded data is data that is organized as a multi-dimensional rectangular array of grid points containing values. Gridded data occurs in many specialized application areas of science and technology, from meteorology and oceanography to medical imaging and oil exploration. These datasets range from simple, uniformly-spaced grid points along a single dimension to multi-dimensional grids containing several different types of grid values.
  • #4 Broadly speaking, gridded data arise in two main areas of application: modeling applications –often involving the numerical solution of differential equations – and data analysis applications.
  • #5 Gridded data can come in a variety of shapes and sizes. In terms of shape, grids are typically 2 dimensional – like a horizonal latitude/longitude based grid, or 3D – which has an added elevation, or depth, dimension, or 4D – where, in addition, there is a time dimension. Each of these dimensions has “grid points”, where one or more data values are stored. The spacing of these grid points doesn’t have to be the same in each dimension, and even within a dimension the spacing doesn’t have to be uniform. The number of data values at each grid point doesn’t have to be the same either. In many applications, some data values at some of the grid points are simply unknown. And, as I’ll show you on the next slide, there are many different ways that we can slice and dice grids.
  • #6 We can extract planar slices from a 3D grid to produce a 2D grid. These slices can be parallel or oblique. Grid points in the new grid may coincide with the positions of points in the old grid, or they may not.
  • #8 This concludes our mini presentation on multidimensional gridded data. Thank you for your interest. For more information please visit our website, send us an email, or give us a call. The final bullet above points to an in-depth down-loadable presentation on our Grid DataBlade database plug-in. Goodbye for now.