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I have following paragraph and trying to understand what it clearly mention.

This paper shows several extensions and discusses the topology approach, while recognizing that reconstruction of height jumps is a challenge (A, 2010; B, 2007) and describing problems related to intersection lines and jump edges between two segments.

first sentence is clear to me. I have problem with while part. It contains that also. So, I am confused. I want to know this and describing.. is related to that or while.

If I simplify my question,

Does the stricture of second part is

  1. while recognizing (X) and describing (Y) or..
  2. while recognizing that (P and describing Q).

UPDATE: If I like to modify 1, Would it be possible to use one recognition as while recognizing (X) and (Y). I think yes, But Y is too long, Does this misguide the reader?

Can anyone help me to get the idea of this. thanks

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The structure of the second part is:

  1. while recognizing (X) and describing (Y)

For clarity:

This paper shows several extensions and discusses the topology approach, while (1) recognizing that reconstruction of height jumps is a challenge (A, 2010; B, 2007), and (2) describing problems related to intersection lines and jump edges between two segments.

EDIT: For your second question, I think you're asking for this:

This paper shows several extensions and discusses the topology approach, while recognizing that (1) reconstruction of height jumps is a challenge (A, 2010; B, 2007), and that (2) problems related to intersection lines and jump edges between two segments are also challenges.

Note that in the above paragraph, I have added "are also challenges" to the end of (2) in order for the fragment to make some sense.

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  • thank you, if i want to modify it, can i do it like while recognising (x) and (y) by omiting describing and assuming it is also recognizing. SO, Onerecognizing is enough? – gnp Oct 14 '13 at 23:23
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    Yes. In general you can coordinate many different grammatical structures, but they usually must be the same structure. Your 2) in your question attempted to coordinate P which was introduced by that and so must be a clause with a finite verb, and "describing Q" which is not a finite clause and can't follow that. – Colin Fine Oct 14 '13 at 23:27

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