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https://issues.apache.org/jira/browse/LUCENE-7110?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=16336394#comment-16336394
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Robert Muir commented on LUCENE-7110:
-------------------------------------

{quote}
This is exactly what I was thinking. Coordinate system agnostic and optimized 
for ranges, boxes, cubes, etc. I'm really looking to see what everyone thinks 
about it being its own companion codec to Points vs. extending Points.
{quote}

I don't think it should be either. I am talking about the api only: e.g. 
Codec.RangeFormat. I'm not particularly interested in any type of trees or 
anything like that, those are boring, its more about the apis being correct.

Points is for points, the name says it all :) To me its unrelated. So I would 
rather see a separate Range type to take care of intervals in various 
dimensions: date/time ranges, IPv4/IPv6 address subnets, bounding boxes, etc. 


> Add Shape Support to BKD (extend to an R*/X-Tree data structure)
> ----------------------------------------------------------------
>
>                 Key: LUCENE-7110
>                 URL: https://issues.apache.org/jira/browse/LUCENE-7110
>             Project: Lucene - Core
>          Issue Type: New Feature
>            Reporter: Nicholas Knize
>            Priority: Major
>
> I've been tinkering with this off and on for a while and its showing some 
> promise so I'm going to open an issue to (eventually) add this feature to a 
> future release.
> R*/X-Tree is a data structure designed to support Shapes (2D, 3D, nD) where, 
> like the internal node, the key for each leaf node is the Minimum Bounding 
> Range (MBR - sometimes "incorrectly" referred to as Minimum Bounding 
> Rectangle) of the shape. Inserting a shape then boils down to the best way of 
> optimizing the tree structure. This optimization is driven by a set of 
> criteria for choosing the appropriate internal key (e.g., minimizing overlap 
> between siblings, maximizing "squareness", minimizing area, maximizing space 
> usage). Query is then (a bit oversimplified) a two-phase process:
>  * recurse each branch that overlaps with the MBR of the query shape
>  * compute the relation with the leaf node(s) - in higher dimensions (3+) 
> this becomes an increasingly difficult computational geometry problem
> The current BKD implementation is a special simplified case of an R*/X tree 
> where, for Point data, it is always guaranteed there will never be overlap 
> between sibling nodes (because you're using the point data as the keys). By 
> exploiting this property the tree algorithms (split, merge, etc) are 
> relatively cheap (hence their performance boost over postings based 
> numerics). By modifying the key data, and extending the tree generation 
> algorithms BKD logic can be extended to support Shape data using the MBR as 
> the Key and modifying split and merge based on the criteria needed for 
> optimizing a shape-based data structure.
> The initial implementation (based on limitations of the GeoAPI) will support 
> 2D shapes only. Once the GeoAPI can performantly handle 3D shapes the change 
> is relatively trivial to add the third dimension to the tree generation code.
> Like everything else, this feature will be created in sandbox and, once 
> mature, will graduate (likely to lucene-spatial or lucene-spatial-extras 
> depending on the library needs).



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