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Clear And Efficient 3D Range Tree Implementation

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问题 I'm working on this project where I have to search for objects in 3d space, and efficiency is a huge concern, I think Range Tree is perfect for what I'm trying to do, Interval Tree would also work but I'm not going to delete anything from the tree, once I add every object in 3D space, I'll only use the structure to do a search. Here's how I'm going to use the structure: Let say that I have an array(let's call it queryArr ) of objects (~ 10,000 objects) each objects have 3 parameter (x,y,z) I

Priority Search Tree confusion

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问题 The only reasonable slide set I found is this, which in page 15 says, for building: Sort all points by their x coordinate value and store them in the leaf nodes of a balanced binary tree (i.e., a range tree) Starting at the root, each node contains the point in its subtree with the maximum value for its y coordinate that has not been stored at a shallower depth in the tree; if no such node exists, then node is empty I implemented a Range Tree just before, so based on the example I used there,

2D RMQ Range Tree

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问题 Hi I'm trying to implement a 2D range tree for rmq-ing, here's my code, i think it's not efficient enough, is there anything i can do for optimation. ls contain list of y sorted on every node rt contain a segment tree p.fi.fi contain x coordinate p.fi.se contain y coordinate p.se contain id of the point loc contain x node and y node for each id vector<pii> ls[400005]; vector<int> rt[400005]; pair<pii,int> p[100005]; vector<pii> loc[100005]; inline void merge(int id,vector<pii> &res,vector<pii

interval range tree datastructure c++

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问题 I have a requirement where I have to update the color of a graphical frontend based on some attribute value.The attribute value has different ranges ....say -30 to -45, -60 to -80 and so on.....So, I needed a datastaructure where I could store these ranges(prefill them)....And When I do determine the point , I would like to know the range in which this point falls either in O(1) Time or O(logN) time....So, My Query would consist of a single point and the output should be a unique range

implement 2d range tree c++

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问题 I have been trying to understand range tree for some time, but i still can't understand it. Can someone explain it to me with an implementation, because i want to use it to solve 2D RMQ, i know segment tree, and my teacher tell me range tree is similar to 2d segment tree, but i just can't think how the space complexity can be less than n^2 like 2d segment tree. I'm not sure about this, but is it true that, it's like merge sort, so the memory will be less than n^2 using vector void merge

How to search in a Range Tree?

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问题 I read several slides, like this one's last page, where the describe the search algorithm. However, I have a basic question. The data lie in a 2D space. I first build a Binary Search Tree based on the x value of the points. Every inner node holds a BST based on the y value of the points that lie in the subtree of that inner node. Then I think I should search for the points that lie in the range query [x1, x2] and then check if for that points the requested [y1, y2] range query is satisfied.

How to search in a Range Tree?

阅读更多关于 How to search in a Range Tree?

I read several slides, like this one 's last page, where the describe the search algorithm. However, I have a basic question. The data lie in a 2D space. I first build a Binary Search Tree based on the x value of the points. Every inner node holds a BST based on the y value of the points that lie in the subtree of that inner node. Then I think I should search for the points that lie in the range query [x1, x2] and then check if for that points the requested [y1, y2] range query is satisfied. However, the algorithm suggests that you should search in the y-based BST of an inner node, if the

Clear And Efficient 3D Range Tree Implementation

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I'm working on this project where I have to search for objects in 3d space, and efficiency is a huge concern, I think Range Tree is perfect for what I'm trying to do, Interval Tree would also work but I'm not going to delete anything from the tree, once I add every object in 3D space, I'll only use the structure to do a search. Here's how I'm going to use the structure: Let say that I have an array(let's call it queryArr ) of objects (~ 10,000 objects) each objects have 3 parameter (x,y,z) I have another very large array(let's call it totalArr ) of objects ( > 5,000,000 objects). What I'm