How to build Faceted Navigation?

Assuming our database has 10 items 5 Ditital cameras 5 Clothing items

How can we build a ‘faceted navigation’ UI as below

Navigation must show ‘context dependent’ facets

If we browse /Home/Electronics we see general ‘category’ and ‘brand’ facets, their values and facet counts

If we browse /Home/Electronics/Camera we see camera specific facets, their values and facet counts

Navigation must show ‘context dependent’ facets

If we browse /Home/Clothings we see Clothing facets, their values and facet counts

If we browse /Home/Clothings/Ann Taylor we see different facets and their counts. The facets displayed are ‘content dependent’

We built it but not happy with performance. Can we build this with Solr?