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/trunk/bibliotheque/PolylineReducer.php
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0,0 → 1,85
<?php
/*========================================================
/* Implementation of Douglas-Peuker in PHP.
/*
/* Anthony Cartmell
/* ajcartmell@fonant.com
/*
/* This software is provided as-is, with no warranty.
/* Please use and modify freely for anything you like :)
/* Version 1.2 - 18 Aug 2009 Fixes problem with line of three points.
/* Thanks to Craig Stanton http://craig.stanton.net.nz
/* Version 1.1 - 17 Jan 2007 Fixes nasty bug!
/*========================================================*/
 
class PolylineReducer {
private $original_points = array();
private $tolerance;
private $tolerance_squared;
 
public function __construct($geopoints_array) {
foreach ($geopoints_array as $point) {
$this->original_points[] = new Vector($point->latitude, $point->longitude);
}
/*----- Include first and last points -----*/
$this->original_points[0]->include = true;
$this->original_points[count($this->original_points)-1]->include = true;
}
 
/**
* Returns a list of GeoPoints for the simplest polyline that leaves
* no original point more than $tolerance away from it.
*
* @param float $tolerance
* @return Geopoint array
*/
public function SimplerLine($tolerance = 0.5) {
$this->tolerance = $tolerance;
$this->tolerance_squared = $tolerance * $tolerance;
$this->DouglasPeucker(0, count($this->original_points) - 1);
foreach ($this->original_points as $point) {
if ($point->include) {
$out[] = new GeoPoint($point->x, $point->y);
}
}
return $out;
}
 
/**
* Douglas-Peuker polyline simplification algorithm. First draws single line
* from start to end. Then finds largest deviation from this straight line, and if
* greater than tolerance, includes that point, splitting the original line into
* two new lines. Repeats recursively for each new line created.
*
* @param int $start_vertex_index
* @param int $end_vertex_index
*/
private function DouglasPeucker($start_vertex_index, $end_vertex_index) {
if ($end_vertex_index <= $start_vertex_index + 1) // there is nothing to simplify
return;
 
// Make line from start to end
$line = new Line($this->original_points[$start_vertex_index], $this->original_points[$end_vertex_index]);
 
// Find largest distance from intermediate points to this line
$max_dist_to_line_squared = 0;
for ($index = $start_vertex_index+1; $index < $end_vertex_index; $index++) {
$dist_to_line_squared = $line->DistanceToPointSquared($this->original_points[$index]);
if ($dist_to_line_squared>$max_dist_to_line_squared) {
$max_dist_to_line_squared = $dist_to_line_squared;
$max_dist_index = $index;
}
}
 
// Check max distance with tolerance
if ($max_dist_to_line_squared > $this->tolerance_squared) {// error is worse than the tolerance
// split the polyline at the farthest vertex from S
$this->original_points[$max_dist_index]->include = true;
// recursively simplify the two subpolylines
$this->DouglasPeucker($start_vertex_index,$max_dist_index);
$this->DouglasPeucker($max_dist_index,$end_vertex_index);
}
// else the approximation is OK, so ignore intermediate vertices
}
}
?>