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Re: [cgal-discuss] Convert Alpha-Segments to an ordered Polygon


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  • From: Markus Eich <>
  • To:
  • Subject: Re: [cgal-discuss] Convert Alpha-Segments to an ordered Polygon
  • Date: Mon, 06 Jun 2011 13:27:11 +0200

Thank you for the input. My question is now how can I access the neighbors of an edge using CGAL?

Is there an overridden function like as.segment(*it).get_neighbor() ? The link

http://www.cgal.org/Manual/latest/doc_html/cgal_manual/TDS_2_ref/Concept_TriangulationDSFaceBase_2.html#Cross_link_anchor_1316

doesn't tell me anything (sorry i am a CGA newbie). If I have the segment A from the Alpha_shape_edges_iterator, how can I get the adjactend Vertices. How can I extend my little example to get the two adjacend edges?

////////////////////
for(Alpha_shape_edges_iterator it = as.alpha_shape_edges_begin();it != as.alpha_shape_edges_end(); ++it) {
segments.push_back(as.segment(*it));



}

////////////////////

Cheers,

Markus



On 06.06.2011 08:55, Sebastien Loriot (GeometryFactory) wrote:
Markus Eich wrote:
Dear all,

I am using CGAL in order the get one or more alpha polygons from a shape. IN a first approach I assume there are no holes. I generate the segements as follows:


Alpha_shape_2 as(lp.begin(),lp.end());

// find optimal alpha value

Alpha_iterator opt = as.find_optimal_alpha(1);
as.set_alpha((*opt)*2.0f);
as.set_mode(Alpha_shape_2::REGULARIZED);

std::vector<K::Segment_2> segments;
std::vector<K::Segment_2> sorted_segments;

for(Alpha_shape_edges_iterator it = as.alpha_shape_edges_begin();it != as.alpha_shape_edges_end(); ++it)
segments.push_back(as.segment(*it));

std::cout << segments.size() << " alpha shape edges" << std::endl;


This works fine an I get all the segments. My problem is that I need a single polygon (in my example I only have one concave shape). If I iterate over the std::vector<K::Segment_2> segments vector, the segments are like E,A,V,D,C,F , instead of A,B,C,D,E,F. In need the segments in an ordered way i.e. that the .target() of A is the .source() of B, the .target() of B the source of C, and so on.

How can I achieve this using CGAL? Is there a way to sort the segments directly?

There is nothing to do it directly in CGAL.

This is a simple graph problem: each edge has 2 vertices and two
adjacent edges share one identical vertex. In particular each such
vertex is adjacent to two other vertices. Starting from one vertex
and going from adjacent vertex to adjacent vertex you can reconstruct
the polygon.

You can use for example a
std::map<Vertex_handle,std::vector<Vertex_handle> >
to get the adjacency between vertices.

For the definition of an edge as std::pair<Face_handle,int>, see:
http://www.cgal.org/Manual/latest/doc_html/cgal_manual/TDS_2_ref/Concept_TriangulationDSFaceBase_2.html#Cross_link_anchor_1316




S.





Thank you and cheers,

Markus






--
Dipl. Inf. Markus Eich
Researcher

DFKI Bremen
Robotics Innovation Center
Mary-Somerville-Str. 9
28359 Bremen, Germany

Phone: +49 (0)421 17845-4105
Fax: +49 (0)421 17845-6613
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