how can I determine the density in each quadrant or small region of randomly uniformly deployed points in a 3D plot

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Tamoor Shafique 2020-9-4

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评论： Walter Roberson 2020-9-6

I have a 3D plot of random and uniformly distributed points. how could i determine the density in each quardrant/sector or subdivided area.

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Tamoor Shafique 2020-9-4

I am not sure what do you mean by pairwise distance. But I asked this bothways because whether it is density or distance between the nodes it can give me some idea about distribution function which then I can use to calculate the redundant points based on an objective function which i intend to define.

But to define a function about redundant points in a 3D plot i need to determine different information everytime from a random distribution.

So the aim is:

1. Plot n points in a cubical randomly and uniformly with rand. 2. Divide the plot into sub cubes to obtain the distribution information closely in each cube. 3. In each cube obtain information about neigbourhood to each node. 4. Based on the neigbourhood information some points can be declared least important as other points can cover their range/region as well. Some other points can be defined as most important due to their position information.(I was thinking through density and distance information about the points a neigbourhood function can be defined) this is why I asked the kind of an open ended question in several ways so could get solution to current problem in different ways and observe. 5. Since the objective function will declare series of points as most important and some as least important. 6. Use this objective function to show effective cluster head nodes

But I am only asking question on my current level do mot intend you to get full system here.

But I think it was difficult to explain the idea here

Tamoor Shafique 2020-9-6

so how can i determine linear distances of each point from others in each sub cube? would it be an AxB matrics for the distances in each sub cube where A is node number and B be the total number of nodes in that subcube?

I want to do some computation on it but i need to understand how to ontain the data first.

Walter Roberson 2020-9-6

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so how can i determine linear distances of each point from others in each sub cube

Separate the points according to sub-cube, and pdist() them. If you have a subcube number already for each coordinate, then you can use

splitapply(@(points) {pdist(points)}, list_of_coordinates, subcube_number_for_each_coordinate)

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how can I determine the density in each quadrant or small region of randomly uniformly deployed points in a 3D plot

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