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Currently i am studying Kinetic Data Structure thesis by Julian Basch. I am feeling stuck in some points. Are there any other resources to understand it properly ??

Edit:- I am very new to this data structure. Are there any blogs or video tutorial to understand an introduction to the concept which is a bit more in depth than the Wikipedia page.

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    $\begingroup$ (Does said thesis provide references?) $\endgroup$
    – greybeard
    Dec 8, 2021 at 6:10
  • $\begingroup$ This sounds pretty broad to me. Any community votes? Generally we're looking for specific questions. The resources might depend on what specifically you are trying to understand. $\endgroup$
    – D.W.
    Dec 8, 2021 at 8:27
  • $\begingroup$ This indeed sounds pretty broad. Perhaps the question can be changed to ask for an introduction to the concept that is a bit more in depth than the Wikipedia page. $\endgroup$
    – Discrete lizard
    Dec 8, 2021 at 8:46

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First, we should consider a dynamic data structure. Such a data-structure keeps some sort of record during a sequence of modifications, usually insertions and deletions. The main idea is that this data structure only needs to do a little bit of work for each insertion and deletion, and therefore is more efficient than recomputing a static data structure after each modification.

A kinetic data structure is a variant on a dynamic data structure, where the modifications are of a geometrical nature. Often, the underlying data is a pointset in $\mathbb{R}^d$ and the modifications correspond to small movement of these points. Again, the idea is to ensure these small modifications only require a small number of changes in the data structure, such that we are much faster than recomputing the data structure after each movement step.

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