Mosaic DEMs Across a UTM Boundary
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- Dwayne Brooks
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1 Mosaic DEMs Across a UTM Boundary Operations What Do I Need? Warp Cover You will need two or more adjacent DEM (Digital Elevation Model) map layers that sit on either side of a UTM zone boundary. Each UTM zone has its own coordinate system, so adjacent map layers that are in different UTM zones cannot mosaicked. The Warp operation can be used to change the coordinate system of one of the DEMs to match that of the other. Alternatively, you could build your own coordinate system, in metres or Latitude & Longitude, and reproject both maps into it. HD-BND-1
2 Example The USGS (United States Geological Survey) DEM (Digital Elevation Model) Franklinville is in UTM zone 17. It sits on the northeastern boundary of the zone: HD-BND-2
3 The USGS (United States Geological Survey) DEM (Digital Elevation Model) Pine Grove Mills is in UTM zone 18. It sits on the northwestern boundary of the zone: Examine the rulers and compare the northings and eastings of these two map layers. You will see that the two map layers fall within the same northing range but the easting coordinates are quite different. This is because the two map layers, although directly adjacent have been projected in two different UTM coordinate systems. Opening the Geometry Editor for the Franklinville map layer you will see that it falls within UTM zone 17. When you use the MFworks DEM translator to import a USGS or other standard DEM, the geometry will be built automatically for you. The Geometry Editor will contain the HD-BND-3
4 coordinates for the corner points of the map layer in row and column and the equivalent UTM coordinates: Opening the Geometry Editor for the Pine Grove Mills map layer you will see that it falls within UTM zone 18: To reproject the Franklinville map layer into UTM zone 18, you will have to build a UTM zone 18 geometry for the Franklinville map layer. The first step is to determine the UTM coordinates of the adjacent edge of the Pine Grove Mills map layer. These coordinates will be substituted for the HD-BND-4
5 adjacent cells of the Franklinville map layer. The two map layers join along the western edge of the Pine Grove Mills map layer. Zoom in on the map and scroll to the top left-hand corner of the map layer. Use the selection tool to click on the most northwesterly cell of the Pine Grove Mills map layer. A marquee will enclose the cell: Read off the coordinate in the tracker. In this case, the most northwesterly data cell is the VOID cell at N by E. Scroll down to the bottom left-hand corner of the map layer and select the most southwesterly data cell: HD-BND-5
6 Read off the coordinate in the tracker. In this case, the most southwesterly data cell is the cell at N by E. Use the same technique on the map layer to be warped, in this case Franklinville, to read off the coordinates of the most northeasterly data point: the most southeasterly data point: HD-BND-6
7 the most northwesterly data point: and the most southwesterly data point: The coordinates for the four data corner points for the Franklinville map layer are: Location Northing Easting NE SE NW SW HD-BND-7
8 These coordinates will have to be adjusted so that the values for the eastings all fall within the UTM zone 18 coordinate range. The northeast and southeast corners of the Franklinville DEM are coincident with the northwest and southwest corners of the Pine Grove Mills DEM. You now have all the information that you need to create a new geometry for the Franklinville map layer. Make the Franklinville Map window active, then select New from the Edit Geometry sub menu of the Map menu. This will open the Geometry Editor dialog box. Enter the name of the new geometry in the Name field and select UTM metres from the Format drop-down list. Click on OK to close the Geometry Editor dialog box: You must calculate the values for the eastings of the northwest and southwest data corner points for the Franklinville DEM in UTM zone 18. First subtract the north maximum and minimum easting values. This will give you the width of the DEM data in metres across the top: Location Easting NE NW Difference HD-BND-8
9 Then subtract the south maximum and minimum easting values. This will give you the width of the DEM data in metres across the bottom: Location Easting SW SE Difference You know the coordinates of the northeast and southeast corner points of the Franklinville DEM because they are coincident with the northwest and southwest corner points of the Pine Grove Mills DEM. Use the difference that you calculated to determine the relative offset of the two unknown Franklinville DEM corner points from the two known Franklinville DEM corner points. The final coordinates are: Location New Northing New Easting NE SE NW SW To build the new geometry, click on each data corner point in turn and use the Register Cell dialog box to enter the new zone 18 coordinates: When you have entered all four coordinates, open the Geometry Editor for the new coordinate system and make sure that you entered the coordinate HD-BND-9
10 values correctly. Click the Build button to build the geometry and then close the dialog box: You are now ready to execute the Warp operation. Select Warp from the Operations menu. Select the name of the map layer to be warped from the Input Map drop-down list; select the name of the map layer that will act as the reference coordinate system from the Reference Map drop-down list; select the input and reference geometries from the respective drop-down lists; finally, choose the sampling technique that you wish to use. For HD-BND-10
11 DEMs, the nearest neighbour method is normally used. Click OK to execute the Warp operation: If you were to perform this operation from the Script window the statement would be: "MapLayer1.mfm" = Warp "Franklinville.mfm" ReferenceMap "Pine Grove Mills.mfm" GeometryInputMap "Franklinville.mfm" [UTM Zone 18] GeometryReferenceMap "Pine Grove Mills.mfm" [UTM Zone 18] Nearest; When the operation completes execution the DEM coordinate system will be transformed to match the coordinate system of the reference map layer. Compare the values of the UTM coordinates in the rulers of the resulting HD-BND-11
12 map layer with the values of the UTM coordinates in the rulers of the Franklinville and Pine Grove Mills map layers: HD-BND-12
13 Compare the Information windows for the resultant map layer with the reference map layer. The origin of the resultant map layer has been set relative to the reference map layer origin: With the relative origins set automatically, the warped DEM is now ready to be mosaicked with the reference map layer. Open the Cover dialog box by selecting Cover from the Operations menu. Specify the warped map layer and the reference map layer, choose the Mosaic maps option, and click on OK to mosaic the two map layers: HD-BND-13
14 If you were to perform this operation from the Script window the statement would be: "MapLayer2.mfm" = Cover "Pine Grove Mills.mfm" With "MapLayer1.mfm" Mosaic; The two map layers will be mosaicked together (Note: this graphic is best viewed at 300% on screen): Note: this technique works best for map layers that are on the UTM boundary. The further from the boundary the map layer is, the more distorted the warped maps will become. HD-BND-14
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