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https://issues.apache.org/jira/browse/ARROW-8714?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=17223832#comment-17223832
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Bryan Cutler commented on ARROW-8714:
-------------------------------------

Sorry, I mistyped dimension when I meant shape above (fixed now). I was trying 
to think of a way to use a single extension type for constant _and_ variable 
shapes, with a fixed dimension. Although there is a problem with my suggestion 
in that the arrays won't be able to be sliced without recomputing the shapes, 
and I don't see a way around that. So I guess it seems better to stay with 2 
different extension types, this one for variable shapes and ARROW-1614 for 
constant shapes.

> [C++] Add a Tensor logical value type with varying dimensions, implemented 
> using ExtensionType
> ----------------------------------------------------------------------------------------------
>
>                 Key: ARROW-8714
>                 URL: https://issues.apache.org/jira/browse/ARROW-8714
>             Project: Apache Arrow
>          Issue Type: Improvement
>          Components: C++, Format
>            Reporter: Christian Hudon
>            Priority: Major
>
> Support for tensor in Table, RecordBatch, etc. where each row is a tensor of 
> a different shape (e.g images of different sizes), but of the same underlying 
> type (e.g. int32). Implemented as an ExtensionType, so no need to change the 
> format. 
> I don't see needing each row being a tensor with a different number of 
> dimensions, so if the implementation for that falls out easily of the use 
> case with each row in the table having a tensor with the same number of 
> dimensions, great. If it adds a lot of complexity, that case would be 
> postponed.



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