Illustrator's built in round corners filter will only round all corners of an object with the same degree of rounding applied to each corner. For the design shown below, I was looking to round only specific corners and to apply different amounts of rounding to different corners. A quick web search revealed a collection of
scripts published by SATO Hiroyuki, one of which was called Round Any Corner, and will apply controllable rounding to only selected corners of an object.