In a joint statement, they said: "Tony was a dear friend, a wonderful man and much loved by all.
"It's been an absolute pleasure to work with him over the last eight years, he was always so professional and brought a real sense of fun to Dancing On Ice.
"We will miss him greatly and our hearts go out to his family at this sad time."
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Police say that anyone who sees Whitehouse should not approach him, but instead call them on 999 and quote incident 23 of 18 February.