@davidhassell commented on this pull request.


> +alignment. As an example, such discontinuities are common in remote
+sensing data and may be caused by combinations of the instrument scan
+motion, the motion of the sensor platform and changes in the
+instrument scan mode. When discontinuities are present, the domain is
+first divided into multiple __continuous areas__, each of which is
+free of discontinuities. When no discontinuities are present, the
+whole domain is a single continuous area. Following this step, each
+continuous area is segmented into interpolation subareas. The
+processes of generating interpolation subareas for a domain without
+discontinuities and for a domain with discontinuities is illustrated
+in <<interpolation_subarea_generation>>, and described in more detail in
+<<Appendix J>>.
+
+For each __interpolated dimension__, i.e. a target domain dimension for which 
coordinate interpolation is required, the locations of the tie point 
coordinates are defined by a corresponding __tie point index variable__, which 
also indicates the location of the continuous areas 
(<<compression-by-coordinate-sampling-tie-point-index-mapping>>).
+ 
+The interpolation subareas within a continuous area do not overlap, ensuring 
that each coordinate of an interpolated dimension is computed from a unique 
interpolation subarea. These interpolation subareas, however, share the tie 
point coordinates that define their common boundaries. Such a shared tie point 
coordinate can only be located in one of a pair of adjacent interpolation 
subareas, which is always the first of the pair in index space. For instance, 
in <<interpolation_subarea_generation>>, the interpolation subarea labeled 
`(0,0)` contains all four of its tie point coordinates, and the interpolation 
subarea `(0,1)` only contains two of them. When applied for a given 
interpolation subarea, interpolation methods, such as those described in 
<<Appendix J>>, must ensure that reconstituted coordinate points are only 
generated inside the interpolation subarea being processed, even if some of the 
tie point coordinates lie outside of that interpolation subarea.

I thought the sentence flow was a bit obfuscated by too many commas:
```suggestion
The interpolation subareas within a continuous area do not overlap, ensuring 
that each coordinate of an interpolated dimension is computed from a unique 
interpolation subarea. These interpolation subareas, however, share the tie 
point coordinates that define their common boundaries. Such a shared tie point 
coordinate can only be located in one of a pair of adjacent interpolation 
subareas, which is always the first of the pair in index space. For instance, 
in <<interpolation_subarea_generation>>, the interpolation subarea labeled 
`(0,0)` contains all four of its tie point coordinates, and the interpolation 
subarea `(0,1)` only contains two of them. When applied for a given 
interpolation subarea, interpolation methods (such as those described in 
<<Appendix J>>) must ensure that reconstituted coordinate points are only 
generated inside the interpolation subarea being processed, even if some of the 
tie point coordinates lie outside of that interpolation subarea.
```

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