Linestring is generalized by an untuned (Ramer-)Douglas-Peucker

algorithm. Distance computation is still a naive implementation and can
be further sped up if necessary
This commit is contained in:
DennisOSRM 2011-11-18 18:00:08 +01:00
parent 14c999fc82
commit 99641bd55c
5 changed files with 161 additions and 38 deletions

135
Algorithms/DouglasPeucker.h Normal file
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@ -0,0 +1,135 @@
/*
open source routing machine
Copyright (C) Dennis Luxen, others 2010
This program is free software; you can redistribute it and/or modify
it under the terms of the GNU AFFERO General Public License as published by
the Free Software Foundation; either version 3 of the License, or
any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU Affero General Public License
along with this program; if not, write to the Free Software
Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
or see http://www.gnu.org/licenses/agpl.txt.
*/
#ifndef DOUGLASPEUCKER_H_
#define DOUGLASPEUCKER_H_
#include <cfloat>
#include <stack>
/*This class object computes the bitvector of indicating generalized input points
* according to the (Ramer-)Douglas-Peucker algorithm.
*
* Input is vector of pairs. Each pair consists of the point information and a bit
* indicating if the points is present in the generalization.
* Note: points may also be pre-selected*/
//These thresholds are more or less heuristically chosen.
static double DouglasPeuckerThresholds[19] = { 10240000., 512., 2560000., 1280000., 640000., 320000., 160000., 80000., 40000., 20000., 10000., 5000., 2400., 1200., 200, 16, 6, 3., 1. };
template<class PointT>
class DouglasPeucker {
private:
typedef std::pair<std::size_t, std::size_t> PairOfPoints;
//Stack to simulate the recursion
std::stack<PairOfPoints > recursionStack;
double ComputeDistance(const _Coordinate& inputPoint, const _Coordinate& source, const _Coordinate& target) {
double r;
const double x = (double)inputPoint.lat;
const double y = (double)inputPoint.lon;
const double a = (double)source.lat;
const double b = (double)source.lon;
const double c = (double)target.lat;
const double d = (double)target.lon;
double p,q,mX,nY;
if(c != a) {
const double m = (d-b)/(c-a); // slope
// Projection of (x,y) on line joining (a,b) and (c,d)
p = ((x + (m*y)) + (m*m*a - m*b))/(1 + m*m);
q = b + m*(p - a);
} else {
p = c;
q = y;
}
nY = (d*p - c*q)/(a*d - b*c);
mX = (p - nY*a)/c;// These values are actually n/m+n and m/m+n , we neednot calculate the values of m an n as we are just interested in the ratio
r = mX;
if(r<=0){
return ((b - y)*(b - y) + (a - x)*(a - x));
}
else if(r >= 1){
return ((d - y)*(d - y) + (c - x)*(c - x));
}
// point lies in between
return (p-x)*(p-x) + (q-y)*(q-y);
}
public:
void Run(std::vector<PointT> & inputVector, const unsigned zoomLevel) {
{
assert(zoomLevel < 19);
assert(1 < inputVector.size());
std::size_t leftBorderOfRange = 0;
std::size_t rightBorderOfRange = 1;
//Sweep linerarily over array and identify those ranges that need to be checked
do {
assert(inputVector[leftBorderOfRange].necessary);
assert(inputVector[inputVector.size()-1].necessary);
if(inputVector[rightBorderOfRange].necessary) {
recursionStack.push(std::make_pair(leftBorderOfRange, rightBorderOfRange));
leftBorderOfRange = rightBorderOfRange;
}
++rightBorderOfRange;
} while( rightBorderOfRange < inputVector.size());
}
while(!recursionStack.empty()) {
//pop next element
const PairOfPoints pair = recursionStack.top();
recursionStack.pop();
assert(inputVector[pair.first].necessary);
assert(inputVector[pair.second].necessary);
assert(pair.second < inputVector.size());
assert(pair.first < pair.second);
double maxDistance = -DBL_MAX;
std::size_t indexOfFarthestElement = pair.second;
INFO("[" << recursionStack.size() << "] left: " << pair.first << ", right: " << pair.second);
//find index idx of element with maxDistance
for(std::size_t i = pair.first+1; i < pair.second; ++i){
double distance = std::fabs(ComputeDistance(inputVector[i].location, inputVector[pair.first].location, inputVector[pair.second].location));
if(distance > DouglasPeuckerThresholds[zoomLevel] && distance > maxDistance) {
indexOfFarthestElement = i;
maxDistance = distance;
}
}
INFO("distance: " << maxDistance << ", recurse: " << (maxDistance > DouglasPeuckerThresholds[zoomLevel] ? "yes" : "no") << ", index: " << indexOfFarthestElement << ", threshold: " << DouglasPeuckerThresholds[zoomLevel] << ", z: " << zoomLevel);
if (maxDistance > DouglasPeuckerThresholds[zoomLevel]) {
// mark idx as necessary
inputVector[indexOfFarthestElement].necessary = true;
INFO("1 < " << indexOfFarthestElement << " - " << pair.first << "=" << (1 > indexOfFarthestElement - pair.first ? "yes" : "no"));
if (1 < indexOfFarthestElement - pair.first) {
recursionStack.push(std::make_pair(pair.first, indexOfFarthestElement) );
}
if (1 < pair.second - indexOfFarthestElement)
recursionStack.push(std::make_pair(indexOfFarthestElement, pair.second) );
}
}
unsigned necessaryCount = 0;
BOOST_FOREACH(PointT & segment, inputVector) {
if(segment.necessary)
++necessaryCount;
}
INFO("[" << necessaryCount << "|" << inputVector.size() << "] points are necessary");
}
};
#endif /* DOUGLASPEUCKER_H_ */

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@ -58,18 +58,23 @@ private:
public:
inline void printEncodedString(const vector<SegmentInformation>& polyline, string &output) {
vector<int> deltaNumbers(2*polyline.size());
vector<int> deltaNumbers;
output += "\"";
if(!polyline.empty()) {
deltaNumbers[0] = polyline[0].location.lat;
deltaNumbers[1] = polyline[0].location.lon;
_Coordinate lastCoordinate = polyline[0].location;
deltaNumbers.push_back( lastCoordinate.lat );
deltaNumbers.push_back( lastCoordinate.lon );
for(unsigned i = 1; i < polyline.size(); ++i) {
deltaNumbers[(2*i)] = (polyline[i].location.lat - polyline[i-1].location.lat);
deltaNumbers[(2*i)+1] = (polyline[i].location.lon - polyline[i-1].location.lon);
if(!polyline[i].necessary)
continue;
deltaNumbers.push_back(polyline[i].location.lat - lastCoordinate.lat);
deltaNumbers.push_back(polyline[i].location.lon - lastCoordinate.lon);
lastCoordinate = polyline[i].location;
}
encodeVectorSignedNumber(deltaNumbers, output);
}
output += "\"";
}
inline void printEncodedString(const vector<_Coordinate>& polyline, string &output) {
@ -109,6 +114,8 @@ public:
output += "[";
string tmp;
for(unsigned i = 0; i < polyline.size(); i++) {
if(!polyline[i].necessary)
continue;
convertInternalLatLonToString(polyline[i].location.lat, tmp);
output += "[";
output += tmp;

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@ -18,9 +18,6 @@
or see http://www.gnu.org/licenses/agpl.txt.
*/
#include <boost/foreach.hpp>
#include "../typedefs.h"
#include "DescriptionFactory.h"
DescriptionFactory::DescriptionFactory() { }
@ -38,25 +35,11 @@ void DescriptionFactory::SetStartSegment(const PhantomNode & _startPhantom) {
void DescriptionFactory::SetEndSegment(const PhantomNode & _targetPhantom) {
targetPhantom = _targetPhantom;
AppendSegment(_targetPhantom.location, _PathData(0, _targetPhantom.nodeBasedEdgeNameID, 0, _targetPhantom.weight1));
pathDescription.push_back(SegmentInformation(_targetPhantom.location, _targetPhantom.nodeBasedEdgeNameID, 0, _targetPhantom.weight1, 0, true) );
}
void DescriptionFactory::AppendSegment(const _Coordinate & coordinate, const _PathData & data ) {
//Segment information has following format:
//["instruction","streetname",length,position,time,"length","earth_direction",azimuth]
//Example: ["Turn left","High Street",200,4,10,"200m","NE",22.5]
//See also: http://developers.cloudmade.com/wiki/navengine/JSON_format
// (_Coordinate & loc, NodeID nam, unsigned len, unsigned dur, short tInstr)
//Is a new instruction necessary?
//yes: data.turnInstruction != 0;
//no: data.turnInstruction == 0;
inline void DescriptionFactory::AppendSegment(const _Coordinate & coordinate, const _PathData & data ) {
pathDescription.push_back(SegmentInformation(coordinate, data.nameID, 0, data.durationOfSegment, data.turnInstruction) );
}
void DescriptionFactory::AppendRouteInstructionString(std::string & output) {
output += "[\"Turn left\",\"High Street\",200,0,10,\"200m\",\"NE\",22.5]";
}
void DescriptionFactory::AppendEncodedPolylineString(std::string & output, bool isEncoded) {
@ -74,7 +57,7 @@ void DescriptionFactory::AppendUnencodedPolylineString(std::string &output) {
pc.printUnencodedString(pathDescription, output);
}
unsigned DescriptionFactory::Run() {
unsigned DescriptionFactory::Run(const unsigned zoomLevel) {
if(0 == pathDescription.size())
return 0;
@ -105,10 +88,7 @@ unsigned DescriptionFactory::Run() {
}
//Generalize poly line
BOOST_FOREACH(SegmentInformation & segment, pathDescription) {
//TODO: Replace me by real generalization
segment.necessary = true;
}
dp.Run(pathDescription, zoomLevel);
//fix what needs to be fixed else
return entireLength;

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@ -23,6 +23,8 @@
#include <vector>
#include "../typedefs.h"
#include "../Algorithms/DouglasPeucker.h"
#include "../Algorithms/PolylineCompressor.h"
#include "../DataStructures/ExtractorStructs.h"
#include "../DataStructures/SegmentInformation.h"
@ -31,6 +33,7 @@
* and produces the description plus the encoded polyline */
class DescriptionFactory {
DouglasPeucker<SegmentInformation> dp;
PolylineCompressor pc;
PhantomNode startPhantom, targetPhantom;
public:
@ -42,11 +45,10 @@ public:
void AppendEncodedPolylineString(std::string &output);
void AppendUnencodedPolylineString(std::string &output);
void AppendSegment(const _Coordinate & coordinate, const _PathData & data);
void AppendRouteInstructionString(std::string & output);
void SetStartSegment(const PhantomNode & startPhantom);
void SetEndSegment(const PhantomNode & startPhantom);
void AppendEncodedPolylineString(std::string & output, bool isEncoded);
unsigned Run();
unsigned Run(const unsigned zoomLevel);
// static inline void getDirectionOfInstruction(double angle, DirectionOfInstruction & dirInst) {
// if(angle >= 23 && angle < 67) {

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@ -44,8 +44,6 @@ public:
void Run(http::Reply & reply, RawRouteData &rawRoute, PhantomNodes &phantomNodes, SearchEngineT &sEngine, unsigned durationOfTrip) {
WriteHeaderToOutput(reply.content);
//We do not need to do much, if there is no route ;-)
if(durationOfTrip != INT_MAX && rawRoute.routeSegments.size() > 0) {
summary.startName = sEngine.GetEscapedNameForNameID(phantomNodes.startPhantom.nodeBasedEdgeNameID);
descriptionFactory.SetStartSegment(phantomNodes.startPhantom);
@ -62,12 +60,12 @@ public:
}
descriptionFactory.SetEndSegment(phantomNodes.targetPhantom);
} else {
//no route found
//We do not need to do much, if there is no route ;-)
reply.content += "207,"
"\"status_message\": \"Cannot find route between points\",";
}
summary.BuildDurationAndLengthStrings(descriptionFactory.Run(), durationOfTrip);
summary.BuildDurationAndLengthStrings(descriptionFactory.Run(config.z), durationOfTrip);
reply.content += "\"route_summary\": {"
"\"total_distance\":";
@ -94,11 +92,14 @@ public:
reply.content += ","
"\"route_instructions\": [";
if(config.instructions) {
//Segment information has following format:
//["instruction","streetname",length,position,time,"length","earth_direction",azimuth]
//Example: ["Turn left","High Street",200,4,10,"200m","NE",22.5]
//See also: http://developers.cloudmade.com/wiki/navengine/JSON_format
unsigned prefixSumOfNecessarySegments = 0;
std::string tmpDist, tmpLength, tmp;
//Fetch data from Factory and generate a string from it.
BOOST_FOREACH(SegmentInformation segment, descriptionFactory.pathDescription) {
//["instruction","streetname",length,position,time,"length","earth_direction",azimuth]
if(0 != segment.turnInstruction) {
if(0 != prefixSumOfNecessarySegments)
reply.content += ",";
@ -123,8 +124,6 @@ public:
if(segment.necessary)
++prefixSumOfNecessarySegments;
}
// descriptionFactory.AppendRouteInstructionString(reply.content);
}
reply.content += "],";
//list all viapoints so that the client may display it