Solved

Triangulation algorithm anybody?

Posted on 2004-04-09
6
366 Views
Last Modified: 2010-04-05
Hello!

I have to include simple triangulation algorithm in my program which does following:

1.) reads points (X,Y) values (I can do that naturally) - it's a 2D environment
2.) connects points with non-overlapping straight lines (as long it is possible)
3.) calculates sum of all lenghts of these lines that connect points to each other
4.) tries to find shorter sum of lengths - based on the optimization of the result which it got in step #2

algorithm has to be able to handle up to 1000 points
for larger sets of points (let's say more than 100) it has to have some sort of timeout while trying to optimize
the result - if it finds any better (shorter sum of lenghts) solution it changes the value of the result but if it
doesn't find anything else during this timeout period it just sticks to the result it got in step #2.

Just to imagine - here's the graphical example of input:
http://www.oloplan.com/tri/tri1.gif
and this is the output:
http://www.oloplan.com/tri/tri2.gif

(solution has to be numeric only - only the sum of all lenghts is required)

Thanx for any help!
0
Comment
Question by:jakac
  • 2
6 Comments
 
LVL 11

Accepted Solution

by:
shaneholmes earned 500 total points
ID: 10793630
Jakac,

On the delphi for fun web page, you will finds lots of information , in particular, in the Advanced portion.

for Instance, there is the Fences & Traveling Salesman example.

which may be of interest to you because it has some code to draw a Simple Path connecting an arbitrary arrangement of points with no line crossings.

http://www.delphiforfun.org/Programs/Fences.htm

Check out all the other problems Gary has solved utilizing Delphi


Shane
0
 
LVL 11

Expert Comment

by:shaneholmes
ID: 10794384
There also may be some useful nformation on EFG's website:

http://www.efg2.com

in particular, the mathematics page:

http://www.efg2.com/Lab/Library/mathematics.htm

Shane
0
 
LVL 12

Expert Comment

by:rwilson032697
ID: 10809191
I think what you are trying to do is a deLauney triangulation. Googling for this will give you more than enough information for your needs.

Cheers,

Raymond.
0

Featured Post

Free Tool: Subnet Calculator

The subnet calculator helps you design networks by taking an IP address and network mask and returning information such as network, broadcast address, and host range.

One of a set of tools we're offering as a way of saying thank you for being a part of the community.

Question has a verified solution.

If you are experiencing a similar issue, please ask a related question

Suggested Solutions

Creating an auto free TStringList The TStringList is a basic and frequently used object in Delphi. On many occasions, you may want to create a temporary list, process some items in the list and be done with the list. In such cases, you have to…
Introduction I have seen many questions in this Delphi topic area where queries in threads are needed or suggested. I know bumped into a similar need. This article will address some of the concepts when dealing with a multithreaded delphi database…
A short tutorial showing how to set up an email signature in Outlook on the Web (previously known as OWA). For free email signatures designs, visit https://www.mail-signatures.com/articles/signature-templates/?sts=6651 If you want to manage em…
Attackers love to prey on accounts that have privileges. Reducing privileged accounts and protecting privileged accounts therefore is paramount. Users, groups, and service accounts need to be protected to help protect the entire Active Directory …

761 members asked questions and received personalized solutions in the past 7 days.

Join the community of 500,000 technology professionals and ask your questions.

Join & Ask a Question