As mentioned, it's quite possible that the person doesn't know you well enough to approach you.
Funny story; one of my neighbours who is also a police officer had his dog barking half the night one night. The dog was known to go on barking fits from time to time when he was away. None of my newer neighbours wanted to approach him; because he does come off as being a little short with people, and nobody wanted to piss off the local cop. I went up and asked him one day what his dog's name was again. He asked why and I told him she was barking up a storm one night, and even when I went out to talk to her she wouldn't stop.
He apologized over and over, and even gave me some of her commands to instruct her to be quiet. (She was being trained to be a police dog, so she had some non-English commands that she would follow.)
I like the idea of the apology letter- who knows if the neighbour who made the complaint just didn't know you well enough to approach you.
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