If you mean something like "I am bored" vs "I am boring", the -ed ending tells me you are the recipient (ie. you have that feeling), and the -ing ending tells me you are the cause.
I am bored = I feel bored. Something else has caused my boredom.
I am boring = I make other people bored. I cause the boredom (maybe I talk too much about pointless things).
PS. "Who can explain me?" = who can explain my existence? Who can explain why I act the way I do? "Me" can be either the direct object or the indirect object, but "to me" always means "me" as an indirect object.