Mapbase

From Rsewiki
(Difference between revisions)
Jump to: navigation, search
(→‎Use of grapg)
(→‎Introduction)
 
(10 intermediate revisions by one user not shown)
Line 1: Line 1:
−
The mapbase plugin were created for the masters thesis Mission Management for Mobile Robots by Anders Beck. http://www.elektro.dtu.dk/English/research/publications_elektro.aspx?lg=showcommon&id=246287
+
===Introduction===
 +
 
 +
The mapbase plugin were created for the masters thesis Mission Management for Mobile Robots by Anders Beck.  
 +
 
 +
http://aut.elektro.dtu.dk/mobotware/doc/Mission_Management_for_Mobile_Robots.pdf.pdf
 +
 
 +
The mapbase describes a graph that consist of nodes and edges (that connect the nodes), a nodes can further have a number of map lines and points described in the local coordinatesystem of the node.
 +
 +
The map graph has a reference node that describes a pose in some (world) coordinate system. This pose is then the origin of further sub-nodes (and each of these can then be used as origin in an even more localized coordinate system with its own nodes).
 +
The nodes can be connected with edges, the nodes and edges describe a full graph (one or more connected graphs). Each node and edge can hold additional new attributes, that the user can retrieve.
 +
 
 +
In a reference node there can further be defined map lines and map points, these points and lines are defined in the coordinate system of the node. The map lines and points can further have attributes, that can be retrieved.
 +
 
 +
===Load the mapbase plugin===
 +
 
 +
The graph and map-lines are defined in separate files.
 +
 
 +
A mapbase system can be loaded into any AURS server (camera server (ucamserver), laser server (ulmsserver), or the "empty" server userver.
 +
 
 +
The mapbase in the examples below were loaded and configured with this part of the AURS .ini file (AURS/build/config/conf_hako2/aunav.ini):
 +
 
 +
...
 +
module load="mapbase.so.0"
 +
mapbase mapload="./apple_cherry_map.xml"
 +
mapbase graphload="./apple_cherry_graph.xml"
 +
...
  
−
Part of the thesis is reproduced here:
 
  
 
===Mapbase on-line functions===
 
===Mapbase on-line functions===
Line 47: Line 71:
 
  </help>
 
  </help>
  
−
===Load a map===
+
===Use of mapbase===
  
−
The mapbase was loaded and configured with this part of the aurobotserver .ini file:
+
====The map====
  
−
...
+
An example of using the mapbase plugin, is getting a pointer to the plugin-class, and using its functions directly.
−
module load="mapbase.so.0"
+
This method in another plugin (aumapobst.so.0) fetches some maplines and forwards them to the locater (aulocater.so.0):
−
mapbase mapload="./apple_cherry_map.xml"
+
−
mapbase graphload="./apple_cherry_graph.xml"
+
−
...
+
  
−
===Use of graph===
+
int UResMapObst::sendMapLinesToLocalizer(int client, bool justObstacles)
 +
{
 +
  UResMapbase * mapbase;
 +
  bool isOK;
 +
  mapline ml;
 +
  int i, n = 0;
 +
  const int MRL = 500;
 +
  char reply[MRL];
 +
  // Acquire mapbase resource:
 +
  mapbase = (UResMapbase *) getStaticResource("mapbase", false, false);
 +
  if (mapbase != NULL)
 +
  { // resources are available
 +
    for(i = 0; i < (int) mapbase->maplines.size(); i++)
 +
    {
 +
      ml = mapbase->maplines[i];
 +
      isOK = ml.isObstacle or not justObstacles;
 +
      if (isOK and true)
 +
      { // this line is to be included
 +
        snprintf(reply, MRL, "addline startx=\"%.6f\" starty=\"%.6f\" endx=\"%.6f\" endy=\"%.6f\" name=\"%s\"\n",
 +
              ml.x_s, ml.y_s, ml.x_e, ml.y_e, ml.number);
 +
        getCorePointer()->postCommand(client, reply);
 +
        n++;
 +
        // debug
 +
        printf("----- %s", reply);
 +
        // debug end
 +
      }
 +
    }
 +
    varMapLineCnt->setInt(n);
 +
  }
 +
  return n;
 +
}
 +
 
 +
====The graph====
 +
 
 +
An example of using the graph nodes (in the apple_cherry_graph.xml loaded above) is the mission rule used on the cherry orchard mission.
 +
 
 +
The first rule "driveNode" (used as a function) fetches the node pose from mapbase, the second mission rule (cherryFull) provides the node sequence.
 +
 
 +
The rule interpreter is the plugin (aurule.so.0), where "driveNode" is parh of the "drivebase.rule" set of rules (in AURS/build/config/conf_hako2/drivebase.rule).
 +
 
 +
<rule name="driveNode">
 +
  <parameters node="' '" hdg="0"/>
 +
  <init>
 +
    nextNode[2] = 0.0;
 +
  </init>
 +
  nextNode[0] = mapbase.node(node, 'x')
 +
  nextNode[1] = mapbase.node(node, 'y')
 +
  nextNode[2] = mapbase.node(node, 'th') + hdg
 +
  driveMap(nextNode[0], nextNode[1], nextNode[2])
 +
</rule>
  
−
An example of using the graph point (in the apple_cherry_graph.xml loaded above) is the mission rule used on the cherry orchard mission:
 
  
 
  <rule name="cherryFull" run="false">
 
  <rule name="cherryFull" run="false">
Line 120: Line 189:
 
   smrctl.directOrWait = false
 
   smrctl.directOrWait = false
 
   driveNode("taastrup.cherrytrans_3-4N", 0)
 
   driveNode("taastrup.cherrytrans_3-4N", 0)
−
 
+
 
   driveNode("taastrup.cherrypath_4-5N", 0)
 
   driveNode("taastrup.cherrypath_4-5N", 0)
 
   smrctl.directOrWait = true
 
   smrctl.directOrWait = true
Line 126: Line 195:
 
   smrctl.directOrWait = false
 
   smrctl.directOrWait = false
 
   driveNode("taastrup.cherrytrans_3-4S", -180)
 
   driveNode("taastrup.cherrytrans_3-4S", -180)
−
 
+
 
   driveNode("taastrup.cherrypath_2-3S", 180)
 
   driveNode("taastrup.cherrypath_2-3S", 180)
 
   smrctl.directOrWait = true
 
   smrctl.directOrWait = true
Line 132: Line 201:
 
   smrctl.directOrWait = false
 
   smrctl.directOrWait = false
 
   driveNode("taastrup.cherrytrans_1-2N", 180)
 
   driveNode("taastrup.cherrytrans_1-2N", 180)
−
 
+
 
   driveNode("taastrup.cherrypath_0-1N", 0)
 
   driveNode("taastrup.cherrypath_0-1N", 0)
 
   smrctl.directOrWait = true
 
   smrctl.directOrWait = true
Line 253: Line 322:
 
  </map>
 
  </map>
  
−
===Mission graph===
+
===Mission graph definition===
  
 
The mapbase can also hold a mission graph nodes and edges.
 
The mapbase can also hold a mission graph nodes and edges.

Latest revision as of 08:57, 29 August 2012

Contents

[edit] Introduction

The mapbase plugin were created for the masters thesis Mission Management for Mobile Robots by Anders Beck.

http://aut.elektro.dtu.dk/mobotware/doc/Mission_Management_for_Mobile_Robots.pdf.pdf

The mapbase describes a graph that consist of nodes and edges (that connect the nodes), a nodes can further have a number of map lines and points described in the local coordinatesystem of the node.

The map graph has a reference node that describes a pose in some (world) coordinate system. This pose is then the origin of further sub-nodes (and each of these can then be used as origin in an even more localized coordinate system with its own nodes). The nodes can be connected with edges, the nodes and edges describe a full graph (one or more connected graphs). Each node and edge can hold additional new attributes, that the user can retrieve.

In a reference node there can further be defined map lines and map points, these points and lines are defined in the coordinate system of the node. The map lines and points can further have attributes, that can be retrieved.

[edit] Load the mapbase plugin

The graph and map-lines are defined in separate files.

A mapbase system can be loaded into any AURS server (camera server (ucamserver), laser server (ulmsserver), or the "empty" server userver.

The mapbase in the examples below were loaded and configured with this part of the AURS .ini file (AURS/build/config/conf_hako2/aunav.ini): 

...
module load="mapbase.so.0"
mapbase mapload="./apple_cherry_map.xml"
mapbase graphload="./apple_cherry_graph.xml"
...


[edit] Mapbase on-line functions

The on-line commands for mapbase is (with some maps from the Tåstrup environemnt loaded): 

>> mapbase help
>> <help subject="Mapbase">
--- available Mapbase options
help             This message
mapload=[file]   Loads data in file into database
graphload=[file] Loads graph data into database
export           Exports the entire map in XML format
mapLines         Export map lines
list          Display current contents of database
status:  has 77 nodes, 486 edges, 25 lines, 0 points
current node = 'taastrup' at (708000.00x, 6174000.00y, 0.0000h)
</help>

In addition some inter-plugin variables and function calls are available. 

>> var mapbase
>> <help subject="var list" name="mapbase">
Description:                  Database for maprelated information.
  connMapPose=0 0 0          Return value of Connetor mappose
  edge(ds)                   Get feature value from [s] extracted from the edge id [d]
  edge(ss)                   Get feature value from [s] extracted from the edge name
                             [s]. Syntax: (edgename,featurename)
  node(ds)                   Get feature value from [s] extracted from the node id [d]
  node(ss)                   Get feature value from [s] extracted from the node name
                             [s]. Syntax: (nodename,featurename)
  connector(ds)              Get feature value from [s] extracted from the connector id
                             [d]
  connector(ss)              Get feature value from [s] extracted from the connector
                             name [s]. Syntax: (connname,featurename) (This is not
                             working properly, if unknown connectorname is entered)
  getConnMapPose(s)          Get the mappose of a connector (returns in var
                             connMapPose)
  addMapLine(sdddddd)        Add a mapline to current reference node. Parameters are
                             addMapLine("name", startX, startY, endX, endY, radius,
                             isObstacle). If isObstacle==0, then line is for localizer
                             only. Coordinates are in map coordinates (see graph for
                             position of node).
(H: has time series, L: is logged, R: replay)
</help>

[edit] Use of mapbase

[edit] The map

An example of using the mapbase plugin, is getting a pointer to the plugin-class, and using its functions directly. This method in another plugin (aumapobst.so.0) fetches some maplines and forwards them to the locater (aulocater.so.0): 

int UResMapObst::sendMapLinesToLocalizer(int client, bool justObstacles)
{
 UResMapbase * mapbase;
 bool isOK;
 mapline ml;
 int i, n = 0;
 const int MRL = 500;
 char reply[MRL];
 // Acquire mapbase resource:
 mapbase = (UResMapbase *) getStaticResource("mapbase", false, false);
 if (mapbase != NULL)
 { // resources are available
   for(i = 0; i < (int) mapbase->maplines.size(); i++)
   {
     ml = mapbase->maplines[i];
     isOK = ml.isObstacle or not justObstacles;
     if (isOK and true)
     { // this line is to be included
       snprintf(reply, MRL, "addline startx=\"%.6f\" starty=\"%.6f\" endx=\"%.6f\" endy=\"%.6f\" name=\"%s\"\n",
              ml.x_s, ml.y_s, ml.x_e, ml.y_e, ml.number);
       getCorePointer()->postCommand(client, reply);
       n++;
       // debug
       printf("----- %s", reply);
       // debug end
     }
   }
   varMapLineCnt->setInt(n);
 }
 return n;
}

[edit] The graph

An example of using the graph nodes (in the apple_cherry_graph.xml loaded above) is the mission rule used on the cherry orchard mission.

The first rule "driveNode" (used as a function) fetches the node pose from mapbase, the second mission rule (cherryFull) provides the node sequence.

The rule interpreter is the plugin (aurule.so.0), where "driveNode" is parh of the "drivebase.rule" set of rules (in AURS/build/config/conf_hako2/drivebase.rule). 

<rule name="driveNode">
 <parameters node="' '" hdg="0"/>
 <init>
   nextNode[2] = 0.0;
 </init>
 nextNode[0] = mapbase.node(node, 'x')
 nextNode[1] = mapbase.node(node, 'y')
 nextNode[2] = mapbase.node(node, 'th') + hdg
 driveMap(nextNode[0], nextNode[1], nextNode[2])
</rule>



<rule name="cherryFull" run="false">
 <init>
   global.drive.compasHeading=false # means math heading (east is 0)
   global.drive.radians=false # means degrees
   global.drive.continueDist = 1.6 # meter, relaxed driving
   # global.drive.continueDist = 0 # meter, tight driving
 </init>
 missionStart("cherryFull")
 smr.do('setvar "hakoliftinggearstateref" 130')
 wait(3) : false
 global.drive.engineRPM = 1900;
 smr.do('setvar "hakoenginespeed" 1900') # RPM
 smr.speed = 0.5 # desired drive speed m/s (0.7m/s~2.5km/h)
 smrctl.directOrWait = false
 #
 global.drive.holdLine=true
 driveNode("taastrup.cherrytrans_9-10S", 0)

 driveNode("taastrup.cherrypath_10-11S", 180)
 smrctl.directOrWait = true
 driveNode("taastrup.cherrypath_10-11N", 180)
 smrctl.directOrWait = false
 driveNode("taastrup.cherrytrans_9-10N", -180)

 driveNode("taastrup.cherrypath_8-9N", 0)
 smrctl.directOrWait = true
 driveNode("taastrup.cherrypath_8-9S", 0)
 smrctl.directOrWait = false
 driveNode("taastrup.cherrytrans_7-8S", -180)

 driveNode("taastrup.cherrypath_6-7S", 180)
 smrctl.directOrWait = true
 driveNode("taastrup.cherrypath_6-7N", 180)
 smrctl.directOrWait = false
 driveNode("taastrup.cherrytrans_8-9N", 0)

 driveNode("taastrup.cherrypath_9-10N", 0)
 smrctl.directOrWait = true
 driveNode("taastrup.cherrypath_9-10S", 0)
 smrctl.directOrWait = false
 driveNode("taastrup.cherrytrans_6-7S", -180)

 driveNode("taastrup.cherrypath_5-6S", 180)
 smrctl.directOrWait = true
 driveNode("taastrup.cherrypath_5-6N", 180)
 smrctl.directOrWait = false
 driveNode("taastrup.cherrytrans_4-5N", -180)

 driveNode("taastrup.cherrypath_3-4N", 0)
 smrctl.directOrWait = true
 driveNode("taastrup.cherrypath_3-4S", 0)
 smrctl.directOrWait = false
 driveNode("taastrup.cherrytrans_2-3S", -180)

 driveNode("taastrup.cherrypath_1-2S", 180)
 smrctl.directOrWait = true
 driveNode("taastrup.cherrypath_1-2N", 180)
 smrctl.directOrWait = false
 driveNode("taastrup.cherrytrans_3-4N", 0)

 driveNode("taastrup.cherrypath_4-5N", 0)
 smrctl.directOrWait = true
 driveNode("taastrup.cherrypath_4-5S", 0)
 smrctl.directOrWait = false
 driveNode("taastrup.cherrytrans_3-4S", -180)

 driveNode("taastrup.cherrypath_2-3S", 180)
 smrctl.directOrWait = true
 driveNode("taastrup.cherrypath_2-3N", 180)
 smrctl.directOrWait = false
 driveNode("taastrup.cherrytrans_1-2N", 180)

 driveNode("taastrup.cherrypath_0-1N", 0)
 smrctl.directOrWait = true
 driveNode("taastrup.cherrypath_0-1S", 0)
 smrctl.directOrWait = false
 driveNode("taastrup.cherrytrans_3-4S", 0)
 #
 missionEnd()
 # wait a bit before saving the MRC log
 wait(2) : false
 <post>
   smr.saveMrcLog()
   print('finished cherryFull')
 </post>
</rule>

[edit] Map definition

An example map is listed below (the cherry orchard in KU-Life Tåstrup (apple_cherry_map.xml)): 

<?xml version="1.0" ?>
<map nodename="taastrup">
 <line number="1" perimeter="1.500">
   <start x="-171.049" y="522.576"/>
   <end x="-146.381" y="316.801"/>
 </line>
 <line number="2" perimeter="1.500">
   <start x="-166.177" y="523.663"/>
   <end x="-141.456" y="317.924"/>
 </line>
 <line number="3" perimeter="1.500">
   <start x="-161.306" y="524.751"/>
   <end x="-136.531" y="319.047"/>
 </line>
 <line number="4" perimeter="1.500">
   <start x="-156.434" y="525.838"/>
   <end x="-131.605" y="320.170"/>
 </line>
 <line number="5" perimeter="1.500">
   <start x="-151.562" y="526.926"/>
   <end x="-126.680" y="321.293"/>
 </line>
 <line number="6" perimeter="1.500">
   <start x="-146.691" y="528.013"/>
   <end x="-121.755" y="322.416"/>
 </line>
 <line number="7" perimeter="1.500">
   <start x="-141.819" y="529.101"/>
   <end x="-116.830" y="323.539"/>
 </line>
 <line number="8" perimeter="1.500">
   <start x="-136.947" y="530.188"/>
   <end x="-111.904" y="324.662"/>
 </line>
 <line number="9" perimeter="1.500">
   <start x="-132.076" y="531.276"/>
   <end x="-106.979" y="325.785"/>
 </line>
 <line number="10" perimeter="1.500">
   <start x="-127.204" y="532.363"/>
   <end x="-102.054" y="326.908"/>
 </line>
 <line number="111" perimeter="1.5">
   <start x="144.820" y="391.249"/>
   <end x="156.735" y="259.275"/>
 </line>
 <line number="112" perimeter="1.5">
   <start x="148.456" y="391.686"/>
   <end x="160.292" y="259.670"/>
 </line>
 <line number="113" perimeter="1.5">
   <start x="151.880" y="391.902"/>
   <end x="163.654" y="261.489"/>
 </line>
 <line number="114" perimeter="1.5">
   <start x="155.336" y="392.159"/>
   <end x="167.240" y="260.155"/>
 </line>
 <line number="115" perimeter="1.5">
   <start x="158.810" y="392.547"/>
   <end x="170.822" y="260.477"/>
 </line>
 <line number="116" perimeter="1.5">
   <start x="162.378" y="392.761"/>
   <end x="174.220" y="260.830"/>
 </line>
 <line number="117" perimeter="1.5">
   <start x="166.020" y="390.116"/>
   <end x="177.717" y="261.148"/>
 </line>
 <line number="118" perimeter="1.5">
   <start x="169.469" y="391.844"/>
   <end x="181.187" y="261.472"/>
 </line>
 <line number="119" perimeter="1.5">
   <start x="172.801" y="393.632"/>
   <end x="184.686" y="261.742"/>
 </line>
 <line number="120" perimeter="1.5">
   <start x="176.323" y="394.024"/>
   <end x="188.196" y="262.135"/>
 </line>
 <line number="121" perimeter="1.5">
   <start x="185.746" y="343.686"/>
   <end x="193.214" y="262.447"/>
 </line>
 <line number="122" perimeter="1.5">
   <start x="154.107" y="252.755"/>
   <end x="197.343" y="256.614"/>
 </line>
</map>

[edit] Mission graph definition

The mapbase can also hold a mission graph nodes and edges. An example is the apple_cherry_graph.xml: 

<?xml version="1.0" ?>
<graph name="ku_life">
 <nodetype name="waypoint">
   <dimension shape="circle" radius="0.05" />
   <connector name="a" x="0.500" y="-0.500" th="0.00" autoconnect="1" />
   <connector name="b" x="0.500" y="-0.500" th="180.00" autoconnect="1" />
 </nodetype>
 <node name="taastrup" x="708000.0" y="6174000.0" th="0.0">
   
   <node name="applepath_1-2N" type="waypoint" x="146.544" y="392.010" th="-84.929"/>
   <node name="applepath_1-2S" type="waypoint" x="158.417" y="257.037" th="-84.929"/>
   <node name="applepath_2-3N" type="waypoint" x="150.075" y="392.321" th="-84.929"/>
   <node name="applepath_2-3S" type="waypoint" x="161.947" y="257.358" th="-84.929"/>
   <node name="applepath_3-4N" type="waypoint" x="153.509" y="392.623" th="-84.929"/>
   <node name="applepath_3-4S" type="waypoint" x="165.415" y="257.673" th="-84.929"/>
   <node name="applepath_4-5N" type="waypoint" x="156.975" y="392.929" th="-84.929"/>
   <node name="applepath_4-5S" type="waypoint" x="168.924" y="257.992" th="-84.929"/>
   <node name="applepath_5-6N" type="waypoint" x="160.495" y="393.239" th="-84.929"/>
   <node name="applepath_5-6S" type="waypoint" x="172.416" y="258.309" th="-84.929"/>
   <node name="applepath_6-7N" type="waypoint" x="163.962" y="393.544" th="-84.929"/>
   <node name="applepath_6-7S" type="waypoint" x="175.865" y="258.623" th="-84.929"/>
   <node name="applepath_7-8N" type="waypoint" x="167.439" y="393.850" th="-84.929"/>
   <node name="applepath_7-8S" type="waypoint" x="179.349" y="258.940" th="-84.929"/>
   <node name="applepath_8-9N" type="waypoint" x="170.961" y="394.160" th="-84.929"/>
   <node name="applepath_8-9S" type="waypoint" x="182.832" y="259.256" th="-84.929"/>
   <node name="applepath_9-10N" type="waypoint" x="174.588" y="394.468" th="-84.929"/>
   <node name="applepath_9-10S" type="waypoint" x="186.168" y="259.575" th="-84.929"/>

   <node name="appletrans_1-2N" type="waypoint" x="146.874" y="395.502" th="5.271"/>
   <node name="appletrans_1-2S" type="waypoint" x="159.375" y="254.552" th="5.271"/>
   <node name="appletrans_2-3N" type="waypoint" x="150.405" y="395.821" th="5.271"/>
   <node name="appletrans_2-3S" type="waypoint" x="162.906" y="254.871" th="5.271"/>
   <node name="appletrans_3-4N" type="waypoint" x="153.837" y="396.130" th="5.271"/>
   <node name="appletrans_3-4S" type="waypoint" x="166.375" y="255.184" th="5.271"/>
   <node name="appletrans_4-5N" type="waypoint" x="157.302" y="396.443" th="5.271"/>
   <node name="appletrans_4-5S" type="waypoint" x="169.886" y="255.501" th="5.271"/>
   <node name="appletrans_5-6N" type="waypoint" x="160.822" y="396.761" th="5.271"/>
   <node name="appletrans_5-6S" type="waypoint" x="173.376" y="255.816" th="5.271"/>
   <node name="appletrans_6-7N" type="waypoint" x="164.289" y="397.074" th="5.271"/>
   <node name="appletrans_6-7S" type="waypoint" x="176.826" y="256.127" th="5.271"/>
   <node name="appletrans_7-8N" type="waypoint" x="167.765" y="397.388" th="5.271"/>
   <node name="appletrans_7-8S" type="waypoint" x="180.310" y="256.442" th="5.271"/>
   <node name="appletrans_8-9N" type="waypoint" x="171.287" y="397.706" th="5.271"/>
   <node name="appletrans_8-9S" type="waypoint" x="183.792" y="256.756" th="5.271"/>
   <node name="appletrans_9-10N" type="waypoint" x="174.783" y="398.022" th="5.271"/>
   <node name="appletrans_9-10S" type="waypoint" x="187.298" y="256.073" th="5.271"/>
   
   <edge start="applepath_1-2N.a" end="applepath_1-2S.b" length="132.506"/>
   <edge start="applepath_1-2N.b" end="appletrans_2-3N.b" length="4.647"/>
   <edge start="applepath_1-2S.b" end="applepath_1-2N.a" length="132.506"/>
   <edge start="applepath_1-2S.a" end="appletrans_2-3S.b" length="5.345"/>
   <edge start="applepath_2-3N.a" end="applepath_2-3S.b" length="132.496"/>
   <edge start="applepath_2-3N.b" end="appletrans_1-2N.a" length="4.651"/>
   <edge start="applepath_2-3N.b" end="appletrans_3-4N.b" length="4.577"/>
   <edge start="applepath_2-3S.b" end="applepath_2-3N.a" length="132.496"/>
   <edge start="applepath_2-3S.a" end="appletrans_1-2S.a" length="5.348"/>
   <edge start="applepath_2-3S.a" end="appletrans_3-4S.b" length="5.305"/>
   <edge start="applepath_3-4N.a" end="applepath_3-4S.b" length="132.486"/>
   <edge start="applepath_3-4N.b" end="appletrans_2-3N.a" length="4.582"/>
   <edge start="applepath_3-4N.b" end="appletrans_4-5N.b" length="4.606"/>
   <edge start="applepath_3-4S.b" end="applepath_3-4N.a" length="132.486"/>
   <edge start="applepath_3-4S.a" end="appletrans_2-3S.a" length="5.308"/>
   <edge start="applepath_3-4S.a" end="appletrans_4-5S.b" length="5.336"/>
   <edge start="applepath_4-5N.a" end="applepath_4-5S.b" length="132.477"/>
   <edge start="applepath_4-5N.b" end="appletrans_3-4N.a" length="4.612"/>
   <edge start="applepath_4-5N.b" end="appletrans_5-6N.b" length="4.653"/>
   <edge start="applepath_4-5S.b" end="applepath_4-5N.a" length="132.477"/>
   <edge start="applepath_4-5S.a" end="appletrans_3-4S.a" length="5.337"/>
   <edge start="applepath_4-5S.a" end="appletrans_5-6S.b" length="5.325"/>
   <edge start="applepath_5-6N.a" end="applepath_5-6S.b" length="132.467"/>
   <edge start="applepath_5-6N.b" end="appletrans_4-5N.a" length="4.659"/>
   <edge start="applepath_5-6N.b" end="appletrans_6-7N.b" length="4.618"/>
   <edge start="applepath_5-6S.b" end="applepath_5-6N.a" length="132.467"/>
   <edge start="applepath_5-6S.a" end="appletrans_4-5S.a" length="5.325"/>
   <edge start="applepath_5-6S.a" end="appletrans_6-7S.b" length="5.298"/>
   <edge start="applepath_6-7N.a" end="applepath_6-7S.b" length="132.457"/>
   <edge start="applepath_6-7N.b" end="appletrans_5-6N.a" length="4.623"/>
   <edge start="applepath_6-7N.b" end="appletrans_7-8N.b" length="4.630"/>
   <edge start="applepath_6-7S.b" end="applepath_6-7N.a" length="132.457"/>
   <edge start="applepath_6-7S.a" end="appletrans_5-6S.a" length="5.300"/>
   <edge start="applepath_6-7S.a" end="appletrans_7-8S.b" length="5.323"/>
   <edge start="applepath_7-8N.a" end="applepath_7-8S.b" length="132.447"/>
   <edge start="applepath_7-8N.b" end="appletrans_6-7N.a" length="4.635"/>
   <edge start="applepath_7-8N.b" end="appletrans_8-9N.b" length="4.670"/>
   <edge start="applepath_7-8S.b" end="applepath_7-8N.a" length="132.447"/>
   <edge start="applepath_7-8S.a" end="appletrans_6-7S.a" length="5.325"/>
   <edge start="applepath_7-8S.a" end="appletrans_8-9S.b" length="5.323"/>
   <edge start="applepath_8-9N.a" end="applepath_8-9S.b" length="132.437"/>
   <edge start="applepath_8-9N.b" end="appletrans_7-8N.a" length="4.675"/>
   <edge start="applepath_8-9N.b" end="appletrans_9-10N.b" length="4.656"/>
   <edge start="applepath_8-9S.b" end="applepath_8-9N.a" length="132.437"/>
   <edge start="applepath_8-9S.a" end="appletrans_7-8S.a" length="5.325"/>
   <edge start="applepath_8-9S.a" end="appletrans_9-10S.b" length="5.340"/>
   <edge start="applepath_9-10N.a" end="applepath_9-10S.b" length="132.427"/>
   <edge start="applepath_9-10N.b" end="appletrans_8-9N.a" length="4.660"/>
   <edge start="applepath_9-10S.b" end="applepath_9-10N.a" length="132.427"/>
   <edge start="applepath_9-10S.a" end="appletrans_8-9S.a" length="5.343"/>
   <edge start="appletrans_1-2N.a" end="appletrans_2-3N.b" length="3.545"/>
   <edge start="appletrans_1-2S.a" end="appletrans_2-3S.b" length="3.545"/>
   <edge start="appletrans_2-3N.b" end="appletrans_1-2N.a" length="3.545"/>
   <edge start="appletrans_2-3N.a" end="appletrans_3-4N.b" length="3.446"/>
   <edge start="appletrans_2-3S.b" end="appletrans_1-2S.a" length="3.545"/>
   <edge start="appletrans_2-3S.a" end="appletrans_3-4S.b" length="3.483"/>
   <edge start="appletrans_3-4N.b" end="appletrans_2-3N.a" length="3.446"/>
   <edge start="appletrans_3-4N.a" end="appletrans_4-5N.b" length="3.479"/>
   <edge start="appletrans_3-4S.b" end="appletrans_2-3S.a" length="3.483"/>
   <edge start="appletrans_3-4S.a" end="appletrans_4-5S.b" length="3.525"/>
   <edge start="appletrans_4-5N.b" end="appletrans_3-4N.a" length="3.479"/>
   <edge start="appletrans_4-5N.a" end="appletrans_5-6N.b" length="3.535"/>
   <edge start="appletrans_4-5S.b" end="appletrans_3-4S.a" length="3.525"/>
   <edge start="appletrans_4-5S.a" end="appletrans_5-6S.b" length="3.505"/>
   <edge start="appletrans_5-6N.b" end="appletrans_4-5N.a" length="3.535"/>
   <edge start="appletrans_5-6N.a" end="appletrans_6-7N.b" length="3.481"/>
   <edge start="appletrans_5-6S.b" end="appletrans_4-5S.a" length="3.505"/>
   <edge start="appletrans_5-6S.a" end="appletrans_6-7S.b" length="3.463"/>
   <edge start="appletrans_6-7N.b" end="appletrans_5-6N.a" length="3.481"/>
   <edge start="appletrans_6-7N.a" end="appletrans_7-8N.b" length="3.490"/>
   <edge start="appletrans_6-7S.b" end="appletrans_5-6S.a" length="3.463"/>
   <edge start="appletrans_6-7S.a" end="appletrans_7-8S.b" length="3.499"/>
   <edge start="appletrans_7-8N.b" end="appletrans_6-7N.a" length="3.490"/>
   <edge start="appletrans_7-8N.a" end="appletrans_8-9N.b" length="3.537"/>
   <edge start="appletrans_7-8S.b" end="appletrans_6-7S.a" length="3.499"/>
   <edge start="appletrans_7-8S.a" end="appletrans_8-9S.b" length="3.496"/>
   <edge start="appletrans_8-9N.b" end="appletrans_7-8N.a" length="3.537"/>
   <edge start="appletrans_8-9N.a" end="appletrans_9-10N.b" length="3.510"/>
   <edge start="appletrans_8-9S.b" end="appletrans_7-8S.a" length="3.496"/>
   <edge start="appletrans_8-9S.a" end="appletrans_9-10S.b" length="3.520"/>
   <edge start="appletrans_9-10N.b" end="appletrans_8-9N.a" length="3.510"/>
   <edge start="appletrans_9-10S.b" end="appletrans_8-9S.a" length="3.520"/>
   <node name="cherrypath_0-1N" type="waypoint" x="-173.000" y="521.530" th="-83.140"/>
   <node name="cherrypath_0-1S" type="waypoint" x="-148.350" y="315.742" th="-83.140"/>
   <node name="cherrypath_1-2N" type="waypoint" x="-168.113" y="522.620" th="-83.140"/>
   <node name="cherrypath_1-2S" type="waypoint" x="-143.418" y="316.862" th="-83.140"/>
   <node name="cherrypath_2-3N" type="waypoint" x="-163.242" y="523.707" th="-83.140"/>
   <node name="cherrypath_2-3S" type="waypoint" x="-138.493" y="317.985" th="-83.140"/>
   <node name="cherrypath_3-4N" type="waypoint" x="-158.370" y="524.795" th="-83.140"/>
   <node name="cherrypath_3-4S" type="waypoint" x="-133.568" y="319.108" th="-83.140"/>
   <node name="cherrypath_4-5N" type="waypoint" x="-153.498" y="525.882" th="-83.140"/>
   <node name="cherrypath_4-5S" type="waypoint" x="-128.643" y="320.231" th="-83.140"/>
   <node name="cherrypath_5-6N" type="waypoint" x="-148.627" y="526.970" th="-83.140"/>
   <node name="cherrypath_5-6S" type="waypoint" x="-123.718" y="321.354" th="-83.140"/>
   <node name="cherrypath_6-7N" type="waypoint" x="-143.755" y="528.057" th="-83.140"/>
   <node name="cherrypath_6-7S" type="waypoint" x="-118.792" y="322.477" th="-83.140"/>
   <node name="cherrypath_7-8N" type="waypoint" x="-138.883" y="529.144" th="-83.140"/>
   <node name="cherrypath_7-8S" type="waypoint" x="-113.867" y="323.600" th="-83.140"/>
   <node name="cherrypath_8-9N" type="waypoint" x="-134.011" y="530.232" th="-83.140"/>
   <node name="cherrypath_8-9S" type="waypoint" x="-108.942" y="324.723" th="-83.140"/>
   <node name="cherrypath_9-10N" type="waypoint" x="-129.140" y="531.319" th="-83.140"/>
   <node name="cherrypath_9-10S" type="waypoint" x="-104.017" y="325.846" th="-83.140"/>
   <node name="cherrypath_10-11N" type="waypoint" x="-123.770" y="532.400" th="-83.140"/>
   <node name="cherrypath_10-11S" type="waypoint" x="-98.600" y="326.960" th="-83.140"/>
   <node name="cherrytrans_1-2N" type="waypoint" x="-168.592" y="527.1" th="12.58"/>
   <node name="cherrytrans_1-2S" type="waypoint" x="-142.939" y="311.869" th="12.58"/>
   <node name="cherrytrans_2-3N" type="waypoint" x="-163.722" y="528.2" th="12.58"/>
   <node name="cherrytrans_2-3S" type="waypoint" x="-138.013" y="312.992" th="12.58"/>
   <node name="cherrytrans_3-4N" type="waypoint" x="-158.851" y="529.3" th="12.58"/>
   <node name="cherrytrans_3-4S" type="waypoint" x="-133.086" y="314.116" th="12.58"/>
   <node name="cherrytrans_4-5N" type="waypoint" x="-153.981" y="530.4" th="12.58"/>
   <node name="cherrytrans_4-5S" type="waypoint" x="-128.160" y="315.239" th="12.58"/>
   <node name="cherrytrans_5-6N" type="waypoint" x="-149.110" y="531.5" th="12.58"/>
   <node name="cherrytrans_5-6S" type="waypoint" x="-123.234" y="316.362" th="12.58"/>
   <node name="cherrytrans_6-7N" type="waypoint" x="-144.239" y="532.5" th="12.58"/>
   <node name="cherrytrans_6-7S" type="waypoint" x="-118.308" y="317.485" th="12.58"/>
   <node name="cherrytrans_7-8N" type="waypoint" x="-139.369" y="533.6" th="12.58"/>
   <node name="cherrytrans_7-8S" type="waypoint" x="-113.381" y="318.609" th="12.58"/>
   <node name="cherrytrans_8-9N" type="waypoint" x="-134.498" y="535.2" th="12.58"/>
   <node name="cherrytrans_8-9S" type="waypoint" x="-108.455" y="319.732" th="12.58"/>
   <node name="cherrytrans_9-10N" type="waypoint" x="-129.628" y="535.5" th="8.0"/>
   <node name="cherrytrans_9-10S" type="waypoint" x="-103.529" y="320.855" th="12.58"/>
   <edge start="cherrypath_1-2N.a" end="cherrypath_1-2S.b" length="207.234"/>
   <edge start="cherrypath_1-2N.b" end="cherrytrans_2-3N.b" length="6.714"/>
   <edge start="cherrypath_1-2S.b" end="cherrypath_1-2N.a" length="207.234"/>
   <edge start="cherrypath_1-2S.a" end="cherrytrans_2-3S.b" length="6.120"/>
   <edge start="cherrypath_2-3N.a" end="cherrypath_2-3S.b" length="207.205"/>
   <edge start="cherrypath_2-3N.b" end="cherrytrans_1-2N.a" length="6.088"/>
   <edge start="cherrypath_2-3N.b" end="cherrytrans_3-4N.b" length="6.713"/>
   <edge start="cherrypath_2-3S.b" end="cherrypath_2-3N.a" length="207.205"/>
   <edge start="cherrypath_2-3S.a" end="cherrytrans_1-2S.a" length="6.778"/>
   <edge start="cherrypath_2-3S.a" end="cherrytrans_3-4S.b" length="6.121"/>
   <edge start="cherrypath_3-4N.a" end="cherrypath_3-4S.b" length="207.176"/>
   <edge start="cherrypath_3-4N.b" end="cherrytrans_2-3N.a" length="6.089"/>
   <edge start="cherrypath_3-4N.b" end="cherrytrans_4-5N.b" length="6.712"/>
   <edge start="cherrypath_3-4S.b" end="cherrypath_3-4N.a" length="207.176"/>
   <edge start="cherrypath_3-4S.a" end="cherrytrans_2-3S.a" length="6.777"/>
   <edge start="cherrypath_3-4S.a" end="cherrytrans_4-5S.b" length="6.122"/>
   <edge start="cherrypath_4-5N.a" end="cherrypath_4-5S.b" length="207.147"/>
   <edge start="cherrypath_4-5N.b" end="cherrytrans_3-4N.a" length="6.090"/>
   <edge start="cherrypath_4-5N.b" end="cherrytrans_5-6N.b" length="6.711"/>
   <edge start="cherrypath_4-5S.b" end="cherrypath_4-5N.a" length="207.147"/>
   <edge start="cherrypath_4-5S.a" end="cherrytrans_3-4S.a" length="6.776"/>
   <edge start="cherrypath_4-5S.a" end="cherrytrans_5-6S.b" length="6.123"/>
   <edge start="cherrypath_5-6N.a" end="cherrypath_5-6S.b" length="207.118"/>
   <edge start="cherrypath_5-6N.b" end="cherrytrans_4-5N.a" length="6.091"/>
   <edge start="cherrypath_5-6N.b" end="cherrytrans_6-7N.b" length="6.710"/>
   <edge start="cherrypath_5-6S.b" end="cherrypath_5-6N.a" length="207.118"/>
   <edge start="cherrypath_5-6S.a" end="cherrytrans_4-5S.a" length="6.775"/>
   <edge start="cherrypath_5-6S.a" end="cherrytrans_6-7S.b" length="6.124"/>
   <edge start="cherrypath_6-7N.a" end="cherrypath_6-7S.b" length="207.089"/>
   <edge start="cherrypath_6-7N.b" end="cherrytrans_5-6N.a" length="6.091"/>
   <edge start="cherrypath_6-7N.b" end="cherrytrans_7-8N.b" length="6.710"/>
   <edge start="cherrypath_6-7S.b" end="cherrypath_6-7N.a" length="207.089"/>
   <edge start="cherrypath_6-7S.a" end="cherrytrans_5-6S.a" length="6.775"/>
   <edge start="cherrypath_6-7S.a" end="cherrytrans_7-8S.b" length="6.125"/>
   <edge start="cherrypath_7-8N.a" end="cherrypath_7-8S.b" length="207.061"/>
   <edge start="cherrypath_7-8N.b" end="cherrytrans_6-7N.a" length="6.092"/>
   <edge start="cherrypath_7-8N.b" end="cherrytrans_8-9N.b" length="6.709"/>
   <edge start="cherrypath_7-8S.b" end="cherrypath_7-8N.a" length="207.061"/>
   <edge start="cherrypath_7-8S.a" end="cherrytrans_6-7S.a" length="6.774"/>
   <edge start="cherrypath_7-8S.a" end="cherrytrans_8-9S.b" length="6.125"/>
   <edge start="cherrypath_8-9N.a" end="cherrypath_8-9S.b" length="207.032"/>
   <edge start="cherrypath_8-9N.b" end="cherrytrans_7-8N.a" length="6.093"/>
   <edge start="cherrypath_8-9N.b" end="cherrytrans_9-10N.b" length="6.708"/>
   <edge start="cherrypath_8-9S.b" end="cherrypath_8-9N.a" length="207.032"/>
   <edge start="cherrypath_8-9S.a" end="cherrytrans_7-8S.a" length="6.773"/>
   <edge start="cherrypath_8-9S.a" end="cherrytrans_9-10S.b" length="6.126"/>
   <edge start="cherrypath_9-10N.a" end="cherrypath_9-10S.b" length="207.003"/>
   <edge start="cherrypath_9-10N.b" end="cherrytrans_8-9N.a" length="6.094"/>
   <edge start="cherrypath_9-10S.b" end="cherrypath_9-10N.a" length="207.003"/>
   <edge start="cherrypath_9-10S.a" end="cherrytrans_8-9S.a" length="6.772"/>
   <edge start="cherrytrans_1-2N.a" end="cherrytrans_2-3N.b" length="4.990"/>
   <edge start="cherrytrans_1-2S.a" end="cherrytrans_2-3S.b" length="5.053"/>
   <edge start="cherrytrans_2-3N.b" end="cherrytrans_1-2N.a" length="4.990"/>
   <edge start="cherrytrans_2-3N.a" end="cherrytrans_3-4N.b" length="4.990"/>
   <edge start="cherrytrans_2-3S.b" end="cherrytrans_1-2S.a" length="5.053"/>
   <edge start="cherrytrans_2-3S.a" end="cherrytrans_3-4S.b" length="5.053"/>
   <edge start="cherrytrans_3-4N.b" end="cherrytrans_2-3N.a" length="4.990"/>
   <edge start="cherrytrans_3-4N.a" end="cherrytrans_4-5N.b" length="4.990"/>
   <edge start="cherrytrans_3-4S.b" end="cherrytrans_2-3S.a" length="5.053"/>
   <edge start="cherrytrans_3-4S.a" end="cherrytrans_4-5S.b" length="5.053"/>
   <edge start="cherrytrans_4-5N.b" end="cherrytrans_3-4N.a" length="4.990"/>
   <edge start="cherrytrans_4-5N.a" end="cherrytrans_5-6N.b" length="4.990"/>
   <edge start="cherrytrans_4-5S.b" end="cherrytrans_3-4S.a" length="5.053"/>
   <edge start="cherrytrans_4-5S.a" end="cherrytrans_5-6S.b" length="5.053"/>
   <edge start="cherrytrans_5-6N.b" end="cherrytrans_4-5N.a" length="4.990"/>
   <edge start="cherrytrans_5-6N.a" end="cherrytrans_6-7N.b" length="4.990"/>
   <edge start="cherrytrans_5-6S.b" end="cherrytrans_4-5S.a" length="5.053"/>
   <edge start="cherrytrans_5-6S.a" end="cherrytrans_6-7S.b" length="5.053"/>
   <edge start="cherrytrans_6-7N.b" end="cherrytrans_5-6N.a" length="4.990"/>
   <edge start="cherrytrans_6-7N.a" end="cherrytrans_7-8N.b" length="4.990"/>
   <edge start="cherrytrans_6-7S.b" end="cherrytrans_5-6S.a" length="5.053"/>
   <edge start="cherrytrans_6-7S.a" end="cherrytrans_7-8S.b" length="5.053"/>
   <edge start="cherrytrans_7-8N.b" end="cherrytrans_6-7N.a" length="4.990"/>
   <edge start="cherrytrans_7-8N.a" end="cherrytrans_8-9N.b" length="4.990"/>
   <edge start="cherrytrans_7-8S.b" end="cherrytrans_6-7S.a" length="5.053"/>
   <edge start="cherrytrans_7-8S.a" end="cherrytrans_8-9S.b" length="5.053"/>
   <edge start="cherrytrans_8-9N.b" end="cherrytrans_7-8N.a" length="4.990"/>
   <edge start="cherrytrans_8-9N.a" end="cherrytrans_9-10N.b" length="4.990"/>
   <edge start="cherrytrans_8-9S.b" end="cherrytrans_7-8S.a" length="5.053"/>
   <edge start="cherrytrans_8-9S.a" end="cherrytrans_9-10S.b" length="5.053"/>
   <edge start="cherrytrans_9-10N.b" end="cherrytrans_8-9N.a" length="4.990"/>
   <edge start="cherrytrans_9-10S.b" end="cherrytrans_8-9S.a" length="5.053"/>

   <edge start="cherrypath_10-11S.b" end="cherrypath_10-11N.a" length="207.003"/>
   <edge start="cherrypath_10-11S.a" end="cherrytrans_9-10S.a" length="6.126"/>
   <edge start="cherrypath_10-11N.b" end="cherrytrans_9-10N.a" length="6.126"/>

 </node>
</graph>
Retrieved from "http://rsewiki.elektro.dtu.dk/index.php?title=Mapbase&oldid=1171"
Personal tools
Namespaces

Variants
Actions
Navigation
Toolbox