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Boost-Commit : |
Subject: [Boost-commit] svn:boost r76953 - in sandbox/gtl/doc: . images
From: sydorchuk.andriy_at_[hidden]
Date: 2012-02-08 18:13:04
Author: asydorchuk
Date: 2012-02-08 18:13:03 EST (Wed, 08 Feb 2012)
New Revision: 76953
URL: http://svn.boost.org/trac/boost/changeset/76953
Log:
Adding Voronoi documentation to the polygon main page.
Added:
sandbox/gtl/doc/images/voronoi.png (contents, props changed)
Text files modified:
sandbox/gtl/doc/index.htm | 30 ++++++++++++++++++++++++++++++
1 files changed, 30 insertions(+), 0 deletions(-)
Added: sandbox/gtl/doc/images/voronoi.png
==============================================================================
Binary file. No diff available.
Modified: sandbox/gtl/doc/index.htm
==============================================================================
--- sandbox/gtl/doc/index.htm (original)
+++ sandbox/gtl/doc/index.htm 2012-02-08 18:13:03 EST (Wed, 08 Feb 2012)
@@ -38,6 +38,13 @@
<li>Property Merge 90</li>
<li>Property Merge 45</li>
<li>Property Merge</li>
+ <li>Voronoi CTypes Concept</li>
+ <li><a href="voronoi_diagram_datastructure.htm">Voronoi Diagram
+ Datastructure</a></li>
+ <li><a href="voronoi_lazy_arithmetic_concept.htm">Voronoi Lazy
+ Arithmetic Concept</a></li>
+ <li><a href="voronoi_sweepline_algorithm.htm">Voronoi Sweepline
+ Algorithm</a></li>
</ul>
<h3 class="navbar">Other Resources</h3>
<ul>
@@ -47,6 +54,10 @@
<li>Performance Analysis</li>
<li>Layout Versus Schematic Tutorial</li>
<li>Minkowski Sum Tutorial</li>
+ <li><a href="voronoi_diagram_basic_tutorial.htm">Voronoi Diagram
+ Basic Tutorial</a></li>
+ <li><a href="voronoi_diagram_advanced_tutorial.htm">Voronoi Diagram
+ Advanced Tutorial</a></li>
</ul>
</div>
<h3 class="navbar">Polygon Sponsor</h3>
@@ -75,6 +86,20 @@
geometry in its scope, and provides a set of capabilities for working with
coordinates, points, intervals and rectangles that are needed to support
implementing and interacting with polygon data structures and algorithms. </p><img border="0" src="images/hand.png" width="837" height="277"><p>
+One of the important features of the library is implementation of generic
+sweepline algorithm to build Voronoi diagrams in 2D (developed as part of GSoC
+2010 program). Voronoi diagram datastructure has applications in image
+segmentation, optical character recognition, nearest neighbor queries execution,
+etc. It is closely related with other computational geometry concepts: delaunay
+triangulation, medial axis, straight skeleton, largest empty circle.
+Boost.Polygon library provides interface to construct Voronoi diagrams of points
+figure a and line segments figure b (the last could be used to discretize any
+two-dimensional curve). Figure c contains example of medial axis of a non-convex
+polygon. The implementation outperforms most of the known commercial and
+non-commercial libraries in both efficiency and numerical robustness aspects.
+</p>
+<p><img border="0" src="images/voronoi.png" width="900" height="300"></p>
+<p>
The coordinate data type is a template parameter of all data types and
algorithms provided by the library, and is expected to be integral.
Floating point coordinate data types are not supported by the algorithms
@@ -192,6 +217,11 @@
extraction application</li>
<li>Minkowski Sum Learn how to
apply Boost.Polygon capabilities to implement Minkowski sum of polygon sets</li>
+ <li>Voronoi Diagram Basic Learn how
+ to build Voronoi diagram without digging into library details.</li>
+ <li>Voronoi Diagram Advanced
+ Learn how to configure Voronoi diagram builder and Voronoi diagram
+ datastructure to suit your requirements. </li>
</ul>
</ul>
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