It is the “asanna bhavana.” In simple terms that means one removes ALL arammana (or thoughts about ANYTHING) that come to the mind.
– I know of some people who engage in this type of meditation.
If properly cultivated, this kind of meditation will lead to memory loss. Since one is trying to remove all thoughts, all memories are lost too, after some time.
– The Buddha taught NOT to remove all thoughts, just the “bad thoughts.’
– One NEEDS to cultivate “good thoughts.” That is the correct Anapanasati meditation.
I discuss this in the post, “Myths about Meditation”
– See, #3 there.