{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Cropping and resampling a grid\n", "\n", "This notebook is part of a blog post on [Geophysics Labs](http://geophysicslabs.com/2016/12/15/how-to-add-maps-to-opendtect/).\n", "\n", "Here I show how to interpolate a grid onto another grid, effectively cropping and resampling the first grid.\n", "\n", "The initial grid is a 2D array obtained by color quantization of an RGB (three-band) image of a geological map. This previous step is described in [another notebook](02_Cropping_and_resampling_grid.ipynb).\n", "\n", "The example shown here makes use of the Kevitsa dataset that was made freely available by the [Frank Arnott Award](https://www.frankarnottaward.com/Home.aspx).\n", "
\n", "Let's start by loading some Python libraries. We need [SciPy](https://scipy.org/) for the interpolation functions and [rasterio](https://mapbox.github.io/rasterio/intro.html) for handling geographic information. Please refer to the index notebook for a tip about installing `rasterio`." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import numpy as np\n", "from scipy import interpolate\n", "import rasterio\n", "import matplotlib.pyplot as plt\n", "import matplotlib.colors as mcolors\n", "% matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Loading the data\n", "\n", "First, let's reopen the indexed-colour image that was created at the previous step. It shows a portion of the geological map of the Kevitsa area in northern Finland. To display it properly, we also need to load the colour palette that associated with it." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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8xS+NqqBjCpiCTnzlQ+AhbwAjoNV3AUIhIhTeBEPUafC9IFDaCGnM5ZrQ6okA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\nwNulUKK+gfV+f3DupWD57Sp0LbuTvIWskwo9IexbqzBJggagOQQaFtLyl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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "indexedImage = np.load(r'..\\data\\Kevitsa_geology_indexed.npy')\n", "# load colormap\n", "win256 = np.loadtxt(r'..\\data\\Windows_256_color_palette_RGB.csv',delimiter=',')\n", "new_cm = mcolors.LinearSegmentedColormap.from_list('win256', win256/255)\n", "# make plot\n", "fig,ax = plt.subplots(figsize=(6,6))\n", "ax.imshow(indexedImage,cmap=new_cm,norm=mcolors.NoNorm())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, we open the image file of the map that contains the geographic information about the position and extent of the map. The is important if we want to interpolate the image onto the grid of the 3D survey. This information is contained in a small text file (.pgw) that comes along with the PNG file." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "inFile = r'..\\data\\Kevitsa_geology_noframe.png'\n", "dataset = rasterio.open(inFile)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`Rasterio` has read the raster data but also the geographic information in the world (.pgw) file. Let's see what it contains:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Raster Size: 1485 columns x 890 rows x 4 bands\n", "Cell Size: 5.08 m\n", "Upper-left corner:(3494752.32,7514558.38)\n", "Bottom-right corner:(3502295.11,7510037.79)\n" ] } ], "source": [ "nrows,ncols = dataset.shape\n", "geotransform = dataset.get_transform()\n", "cellsize = geotransform[1] \n", "# top-left corner of top-left pixel\n", "ulx = geotransform[0] \n", "uly = geotransform[3]\n", "# bottom-right corner of bottom-right pixel\n", "lrx = ulx + geotransform[1] * ncols\n", "lry = uly + geotransform[5] * nrows\n", "\n", "# print the output\n", "print('Raster Size: {:d} columns x {:d} rows x {:d} bands'.format(ncols, nrows, dataset.count))\n", "print('Cell Size: {:.2f} m'.format(cellsize))\n", "print('Upper-left corner:({:.2f},{:.2f})\\nBottom-right corner:({:.2f},{:.2f})'.format(ulx,uly,lrx,lry))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Creating a set of grid coordinates\n", "\n", "The next step is to create two arrays containing the X and Y positions of all the pixels of our image. Again, this is necessary for running the interpolation later on.\n", "\n", "There are usually two methods to register 2D grids in space, depending on whether the coordinates correspond to the centres or to the corners of the pixels. GIS programs generally use the latter convention, as indeed the extent of a raster image starts from the very edge of the pixels. In contrast, geophysical software (OpendTect, Geosoft Oasis Montaj, etc.) tend to use the other method, registering the pixel centres because these are considered as any other data points. In this view, an image or a regular grid is simply a particulay case of a dataset consisting of observations that happened to be located at regular intervals.\n", "\n", "A slightly different explanation of these two different methods of grid registration can be found on the [GMT website](http://gmt.soest.hawaii.edu/doc/latest/GMT_Docs.html#grid-registration-the-r-option). The principle is the same: in GMT jargon, gridline registration corresponds to corner-based coordinates, while the pixel registration makes use of centre-based coordinates. \n", "\n", "The conclusion of this short introduction to grid coordinates is that we have to use pixel-centre coordinates and that we have to calculate these from the pixel-corner coordinates provided by `rasterio`. " ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "xmin = ulx + cellsize/2.\n", "ymin = lry + cellsize/2.\n", "xmax = xmin + (ncols-1)*cellsize\n", "ymax = ymin + (nrows-1)*cellsize\n", "\n", "# 1-D arrays of coordinates (use linspace to avoid errors due to floating point rounding)\n", "x = np.linspace(xmin,xmax,num=ncols,endpoint=True)\n", "y = np.linspace(ymin,ymax,num=nrows,endpoint=True)\n", "# 2-D arrays of coordinates\n", "X,Y = np.meshgrid(x,y)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "The X and Y arrays give the coordinates (X[i,j],Y[i,j]) of each pixel (i,j) in the image. However, we forgot a crucial difference between the orientation of the cartesian axes of our (projected) coordinate system and the arrangement of rows and columns in the array of the image. Basically, the origin (0,0) of array indices is in the top-left corner of the image, while the origin of the coordinate system is in the bottom-left corner. \n", "\n", "To correct for this difference, we simply need to flip the Y axis upside-down by adding the following:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "Y = np.flipud(Y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A plot of the X and Y arrays can help to ensure we have the expected set of X and Y coordinates." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig,(ax1,ax2) = plt.subplots(1,2,figsize=(8,6))\n", "ax1.imshow(X)\n", "ax1.set_title('X')\n", "ax2.imshow(Y)\n", "ax2.set_title('Y')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Performing the interpolation\n", "## Creating interpolator\n", "\n", "The interpolation in `SciPy` works by creating the interpolation function using the coordinates and the values of the data points. There are several types of interpolators available. For this type of data (image of a geological map), the best is to use a *nearest neighbour* interpolation, as we want to preserve the sharpness of the geological outlines. It is also vital for the quality of the result that indexed values in the image are not modified, since that would also modify their colour in an uncontrolled way." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [], "source": [ "interp = interpolate.NearestNDInterpolator(np.column_stack((X.flatten(),Y.flatten())),indexedImage.flatten())" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "## Creating target grid\n", "\n", "The interpolation function will compute the intensities of the pixels at their new locations in the target grid. This new grid corresponds to the 3D seismic survey whose outline is shown in red on the map. \n", "\n", "Refering back to the [blog post](), we can fetch the definition of this grid from OpendTect. We are not limited to the boundaries of the 3D survey and we can add some padding in the form of additional rows and columns. The indexing is copied from the in-line and cross-line numbering in OpendTect." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# First let's define a grid of in-line and cross-line indices\n", "pad = 50 # number of rows and columns to add on all sides\n", "step = 1 # \n", "inline_limits = np.arange(1000-pad,1280+pad,step)\n", "xline_limits = np.arange(1000-pad,1287+pad,step)\n", "inline,xline = np.meshgrid(inline_limits,xline_limits,indexing='ij')\n", "# indexing starts from bottom-left corner\n", "inline = np.flipud(inline)\n", "\n", "# Now we can compute the coordinates - these numbers come from the \"advanced\" panel in the coordinate settings in OpendTect\n", "Xi = 3491336.248 - 3.19541219*inline + 9.4758042*xline\n", "Yi = 7497848.4 + 9.47383513*inline + 3.19552448*xline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Run the interpolation" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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6TNiaW9i9/UN2l+1H5irGMJdgIvt6wAh0AGYu7gz2fEiChIfg0Oub0XRryPHl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\nKaxh7LVnKM12DkTGxmCKEdlb8gekn9Q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UHOCm1Kes2g9X7aT41OYeh5v1baf44cg/GRM5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LIxSkYqDH/qCLvVgloNqfl9H7OZY/Fp1Ixz7gs5j0pAeV0br6yqOOnYR5sP8ep2De90JFM0u28H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\njPFjyRxTStKBgyxZczkZgEzOAuO5LgTmr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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "newImage = interp((Xi,Yi))\n", "plt.imshow(newImage,cmap=new_cm)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The initial image has been rotated, cropped and resampled to match the position and extent of the 3D survey grid. It is now ready for export!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Export to ASCII file\n", "\n", "The final step is to create a text file containing the new interpolated image.\n", "\n", "We can take advantage of the fact that the new grid has been defined using the same numbering as the traces of the 3D survey in OpendTect. So we don't need the coordinates, just the trace numbers.\n", "\n", "The image will be imported in OpendTect as a 3D horizon. The colours will be treated as an attribute, so we need an extra Z column that will define the \"geometry\" of the horizon, a simple plane at depth = 0." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Done!\n" ] } ], "source": [ "# Trace indices arranged in two vectors\n", "IL_vector = inline.flatten()\n", "XL_vector = xline.flatten()\n", "\n", "# Data arranged in one single vector\n", "values = newImage.flatten()\n", "\n", "# Z column (zeros for importing in OpendTect)\n", "Z_vector = np.zeros_like(IL_vector)\n", "\n", "# Save to ASCII\n", "outFile = r'..\\data\\Kevitsa_geology_indexed_ILXL.xyz'\n", "np.savetxt(outFile,np.array((IL_vector,XL_vector,Z_vector,values)).T,fmt='%14.2f %14.2f %14.2f %.8g')\n", "print('Done!')" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python [conda env:geophysicslabs]", "language": "python", "name": "conda-env-geophysicslabs-py" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 1 }