NoFilter() function for one specific dimension

Hi,

In my report I have 3 filters defined in the filter bar (Region, Product, Year). I know that I can use the NoFilter-function for a measure to ignore all those filters. But can I also specify one specific dimension to be ignored. Let's say I want that for my measure the filter Region should be ignored, but not the Product or Year filter. If not, is there any workaround (One would be to insert a second query and don't merge on the Region-dimension I think)?

Thanks!