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How to find minimum number of points which covers entire set of intervals?
Given a set of intervals [x,y] where 0 <= x,y <= 2000 how to find minimum number of points which can cover (i.e. Every interval should contain at least one point in resultant set of points) all intervals? then answer should be 2 (minimum number of points required to cover all intervals) as points x=3,x=7 is one solution.
Which is the smallest interval in a list?
You will necessarily need one interval that contains the smallest point, 0.7, and such an interval that covers the most points is always [ 0.7, 1.7]. Discard the points that it covers, and repeat. I believe the greedy algorithm will work here. Let x be the smallest element in your set not already put in a list.
Which is the smallest subset of a set?
Suppose we have a set A of pairs ( a, b) such that a and b are real numbers and a < b. What is the most efficient algorithm to find the smallest subset B ⊆ A such that, for any value within the range of any pair in A, the value is also within the range of any pair in B.
What is the most efficient algorithm to find the smallest subset B?
What is the most efficient algorithm to find the smallest subset B ⊆ A such that, for any value within the range of any pair in A, the value is also within the range of any pair in B. I am currently considering setting B equal to A and, for each pair in B, if removing the pair still upholds the property of B described above, remove it.
How to find minimum area for given points?
I simply recommend the OpenCV’s build-in function minAreaRect, which finds a rotated rectangle of the minimum area enclosing the input 2D point set. To see how to use this function, one may refer to this tutorial. Thanks for contributing an answer to Geographic Information Systems Stack Exchange!
When to use same line for all points?
If two distinct points have the same slope with (xO, yO) then they can be covered with same line only so we can track slope of each point and whenever we get a new slope we will increase our line count by one. In below code slope is stored as a pair of integer to get rid of the precision problem and a set is used to keep track of occurred slopes.
How to find the minimum convex hull tool?
There is a tool in Whitebox GAT ( http://www.uoguelph.ca/~hydrogeo/Whitebox/) called Minimum Bounding Box for solving this exact problem. There is also a minimum convex hull tool in there too. Several of the tools in the Patch Shape toolbox, e.g. patch orientation and elongation, are based on finding the minimum bounding box.