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Subset of results with same dimensionality

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It seems that all of the methods of defining user datasets return data in at least one less dimension than the results generated by the model, e.g. cut planes, iso-surface, and parameterized surfaces can be extracted from a 3D model. But, we want to extract a 3D subset of the solution. Specifically, we want to manipulate the results from selected domains - typically one domain. We don't want the surface of the domain, a surface through it, a slice or anything short of all the results within the volume of interest. How can that be done?

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