Plotting the naval territory of a country

In summary, the conversation discusses the task of obtaining a new border for a country represented by a polygon, where each point is exactly 10 miles from the country. The process is more complex than it initially seems, involving equations for each line segment, finding intersections, and rounding corners. The conversation also mentions a possible algorithm for this task and compares it to image processing techniques. There is a need for the map to exist as a set of coordinates for this task.
  • #1
jbunten
87
0
OK, say we have the border of a country represented by a polygon, how do we obtain a new border which at every point has it's nearest point to the country at exactly say 10 miles from it?

Is there an algorithm to do this or is it highly computational?

It's not as simple as it first seems.
 
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  • #2
If you have an equation for each straight line segment, you could generate a parallel line 10miles from it (have to get the sign right for =outside).
Then find the intersect fro each line segment with the next to cut them into a single polygon.
Might not be the most efficent and for a true 10mile limt you would have to round the corners where the line segments meet to a 10mi radius.

There is probably a well known aglorithm for this - try http://www.cgal.org/
 
  • #3
That's what I thought, but the problem is far more complex, imagine a bay that goes very far inland (20mi for instance) then 10mi from that bay can be very near to another part of the island, the problem is deceptively complex.
 
  • #4
Yes, it is tricky.
In image processing it's known as dilation, you use it to close up any gaps in an image and then erode back to the original size before doing operations like character recognition. If you have the map as a bitmap you can probably find an image library thatworks well (eg opencv?)
 
  • #5
Hi, fraid not, they would have to exist as a set of coordinates.
 

1. What is the purpose of plotting the naval territory of a country?

The purpose of plotting the naval territory of a country is to determine and mark the boundaries of the sea areas that fall under the jurisdiction of that particular country. This helps in regulating and managing activities within the naval territory, such as fishing, shipping, and oil exploration.

2. How is the naval territory of a country plotted?

The naval territory of a country is plotted by using maps and charts, as well as modern technologies like GPS and satellite imagery. The boundaries are typically determined by international laws and agreements, as well as historical claims and geographical features.

3. Why is it important to accurately plot the naval territory of a country?

Accurately plotting the naval territory of a country is important for several reasons. It helps to avoid disputes with neighboring countries over overlapping boundaries, ensures the safety of marine vessels by providing accurate navigation information, and allows for effective management and protection of marine resources within the territory.

4. What are the potential challenges in plotting the naval territory of a country?

One potential challenge in plotting the naval territory of a country is the lack of accurate historical data or conflicting claims from neighboring countries. Another challenge is the constantly changing nature of the marine environment, such as the movement of sandbars and coastal erosion, which can affect the boundaries of the naval territory.

5. Who is responsible for plotting the naval territory of a country?

The responsibility of plotting the naval territory of a country falls on the country's government or designated agencies, such as the Navy or Coast Guard. These agencies work closely with international organizations and neighboring countries to establish and maintain accurate boundaries for the naval territory.

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