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supplementary-contours.Centrality.pyt.xml
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<metadata xml:lang="ru"><Esri><CreaDate>20190629</CreaDate><CreaTime>19245600</CreaTime><ArcGISFormat>1.0</ArcGISFormat><SyncOnce>TRUE</SyncOnce><ModDate>20190701</ModDate><ModTime>19010800</ModTime><scaleRange><minScale>150000000</minScale><maxScale>5000</maxScale></scaleRange><ArcGISProfile>ItemDescription</ArcGISProfile></Esri><tool name="Centrality" displayname="Centrality" toolboxalias="" xmlns=""><arcToolboxHelpPath>c:\program files (x86)\arcgis\desktop10.6\Help\gp</arcToolboxHelpPath><parameters><param name="in_lines" displayname="Input lines" type="Required" direction="Input" datatype="Feature Layer" expression="in_lines"><dialogReference><DIV STYLE="text-align:Left;"><DIV><DIV><P><SPAN>Input features in relation to which the centrality will be estimated. </SPAN></P><P><SPAN>These can be any spatial features. For supplementary contours generation, regular contour lines should be used.</SPAN></P></DIV></DIV></DIV></dialogReference></param><param name="out_raster" displayname="Output centrality raster" type="Required" direction="Output" datatype="Raster Dataset" expression="out_raster"><dialogReference><DIV STYLE="text-align:Left;"><DIV><DIV><P><SPAN>Output centrality raster.</SPAN></P></DIV></DIV></DIV></dialogReference></param><param name="cell_size" displayname="Output cell size" type="Required" direction="Input" datatype="Double" expression="cell_size"><dialogReference><DIV STYLE="text-align:Left;"><P STYLE="font-size:16ptmargin:0 0 0 0;"><SPAN>Cell size used for generation of centrality raster. It can be selected freely, without any dependency on the input raster DEM cell size. The smaller the cell size, the more precise the centrality estimation. However, extremely small values may cause long computation time. Set reasonably.</SPAN></P></DIV></dialogReference></param><param name="snap_raster" displayname="Snap raster" type="Optional" direction="Input" datatype="Raster Layer" expression="{snap_raster}"><dialogReference><DIV STYLE="text-align:Left;"><DIV><DIV><P><SPAN>A raster used to snap the resulting centrality raster. Width and centrality rasters must be aligned and must have the same geometry. Therefore, if a width raster is computed first, then it should be used as snap raster in </SPAN><SPAN STYLE="font-weight:bold;">Centrality </SPAN><SPAN>tool, and vice versa.</SPAN></P></DIV></DIV></DIV></dialogReference></param></parameters><summary><DIV STYLE="text-align:Left;"><DIV><DIV><P><SPAN>This tool generates centrality raster. </SPAN></P><P><SPAN>A supplementary contour is generally informative if it is clearly not equidistant to contour lines that define the borders of its region. To estimate this property, we employ the notion of </SPAN><SPAN STYLE="font-style:italic;">centrality</SPAN><SPAN>. Centrality shows if the pixel is close to the middle position between contours (</SPAN><SPAN STYLE="font-style:italic;">C = 1</SPAN><SPAN>), close to one of the contours (</SPAN><SPAN STYLE="font-style:italic;">C = 0</SPAN><SPAN>) or is somewhere in between (</SPAN><SPAN STYLE="font-style:italic;">0 &lt; C &lt; 1</SPAN><SPAN>). Since a supplementary contour can be located anywhere within a region, an estimate of centrality is required for any point within a region</SPAN><SPAN STYLE="font-size:12pt">. </SPAN><SPAN>This is done by </SPAN><SPAN STYLE="font-weight:bold;">Centrality </SPAN><SPAN>tool using a raster-based approach</SPAN></P><P><SPAN>Centrality is calculated using the following algorithm:</SPAN></P><OL><LI><P><SPAN>Calculate Euclidean distance raster for regular contours (d1).</SPAN></P></LI><LI><P><SPAN>Calculate Euclidean allocation raster for regular contours (this is a raster equivalent for Voronoy diagram).</SPAN></P></LI><LI><P><SPAN>Vectorize Euclidean allocation raster and extract the boundaries between allocated zones.</SPAN></P></LI><LI><P><SPAN>Rasterize regular contours using the same raster grid as Euclidean distance.</SPAN></P></LI><LI><P><SPAN>Reclassify rasterized contours such that contour pixels are NULL and other pixels have the value of 1.</SPAN></P></LI><LI><P><SPAN>Calculate Cost distance from allocation boundaries using the reclassified contours raster as a cost surface (dC). This disallows crossing regular contours during distance spreading.</SPAN></P></LI><LI><P><SPAN>Calculate the resulting Centrality raster using the following map algebra expression: C = d1 / (d1 + dC)</SPAN></P></LI></OL><P><SPAN STYLE="font-style:italic;">NOTE: centrality is undefined for closed contours.</SPAN></P><P><SPAN>A detailed description of the method can be found in the following paper:</SPAN></P><P><SPAN STYLE="font-style:italic;">Samsonov T., Koshel S, Walther D., Jenny B. </SPAN><SPAN>Automated placement of supplementary contour lines // </SPAN><SPAN STYLE="font-weight:bold;">International Journal of Geographical Information Science</SPAN><SPAN>. — 2019. — Vol. 33. — DOI: 10.1080/13658816.2019.1610965</SPAN></P></DIV></DIV></DIV></summary><usage><DIV STYLE="text-align:Left;"><DIV><DIV><P><SPAN>For detailed information on the tool usage please see the description of its parameters.</SPAN></P></DIV></DIV></DIV></usage></tool><dataIdInfo><idCitation><resTitle>Centrality</resTitle></idCitation><searchKeys><keyword>raster analysis</keyword><keyword>euclidean distance</keyword><keyword>centrality</keyword><keyword>supplementary contours</keyword></searchKeys><idCredit>2017-2019, Timofey Samsonov & Dmitry Walther, Lomonosov Moscow State University.</idCredit><idAbs><DIV STYLE="text-align:Left;"><DIV><DIV><P><SPAN>This tool generates centrality raster. </SPAN></P><P><SPAN>A supplementary contour is generally informative if it is clearly not equidistant to contour lines that define the borders of its region. To estimate this property, we employ the notion of </SPAN><SPAN STYLE="font-style:italic;">centrality</SPAN><SPAN>. Centrality shows if the pixel is close to the middle position between contours (</SPAN><SPAN STYLE="font-style:italic;">C = 1</SPAN><SPAN>), close to one of the contours (</SPAN><SPAN STYLE="font-style:italic;">C = 0</SPAN><SPAN>) or is somewhere in between (</SPAN><SPAN STYLE="font-style:italic;">0 &lt; C &lt; 1</SPAN><SPAN>). Since a supplementary contour can be located anywhere within a region, an estimate of centrality is required for any point within a region</SPAN><SPAN STYLE="font-size:12pt">. </SPAN><SPAN>This is done by </SPAN><SPAN STYLE="font-weight:bold;">Centrality </SPAN><SPAN>tool using a raster-based approach</SPAN></P><P><SPAN>Centrality is calculated using the following algorithm:</SPAN></P><OL><LI><P><SPAN>Calculate Euclidean distance raster for regular contours (d1).</SPAN></P></LI><LI><P><SPAN>Calculate Euclidean allocation raster for regular contours (this is a raster equivalent for Voronoy diagram).</SPAN></P></LI><LI><P><SPAN>Vectorize Euclidean allocation raster and extract the boundaries between allocated zones.</SPAN></P></LI><LI><P><SPAN>Rasterize regular contours using the same raster grid as Euclidean distance.</SPAN></P></LI><LI><P><SPAN>Reclassify rasterized contours such that contour pixels are NULL and other pixels have the value of 1.</SPAN></P></LI><LI><P><SPAN>Calculate Cost distance from allocation boundaries using the reclassified contours raster as a cost surface (dC). This disallows crossing regular contours during distance spreading.</SPAN></P></LI><LI><P><SPAN>Calculate the resulting Centrality raster using the following map algebra expression: C = d1 / (d1 + dC)</SPAN></P></LI></OL><P><SPAN STYLE="font-style:italic;">NOTE: centrality is undefined for closed contours.</SPAN></P><P><SPAN>A detailed description of the method can be found in the following paper:</SPAN></P><P><SPAN STYLE="font-style:italic;">Samsonov T., Koshel S, Walther D., Jenny B. </SPAN><SPAN>Automated placement of supplementary contour lines // </SPAN><SPAN STYLE="font-weight:bold;">International Journal of Geographical Information Science</SPAN><SPAN>. — 2019. — Vol. 33. — DOI: 10.1080/13658816.2019.1610965</SPAN></P></DIV></DIV></DIV></idAbs></dataIdInfo><distInfo><distributor><distorFormat><formatName>ArcToolbox Tool</formatName></distorFormat></distributor></distInfo><mdHrLv><ScopeCd value="005"/></mdHrLv><mdDateSt Sync="TRUE">20190701</mdDateSt><Binary><Thumbnail><Data EsriPropertyType="PictureX">/9j/4AAQSkZJRgABAQEAkACQAAD/4gxYSUNDX1BST0ZJTEUAAQEAAAxITGlubwIQAABtbnRyUkdC
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