And in reference to comments at the scene, including by one player, that he could have been harmed by law enforcement, Kelly added: "Did I think I could be shot like some people were saying? Absolutely not."
Kelly posted on his Facebook page Sunday morning a photo of a hot dog in his hand in front of his vehicle's steering wheel and speedometer. It was taken at about 7:15 a.m. Sunday as he drove from his home in Sonoma County to the golf tournament at CordeValle Golf Club south of San Jose.
While at the Frys.com Open, he posted to Facebook: "Just got a bloody Mary. About to watch Tiger Woods play 18 holes."
Just after 2 p.m., a man ran onto the seventh green, yelling Woods' name, Santa Clara sheriff's officials said, refusing to identify him by name, but saying he was a Santa Rosa resident based on his driver's license.
On Tuesday, Kelly, who would only say in an interview that he lives in Sonoma County, confirmed that he, indeed, was the stranger with the hot dog.
Based on video and the sheriff's report, he tossed the dog and bun into the air and they landed some distance from Woods. Security staff ran onto the green as he got onto the ground and escorted him away.
Sheriff's officials said they arrested the interloper on suspicion of disturbing the peace, a misdemeanor that didn't require deputies to book him into jail.
Sheriff's Sgt. Jose Cardoza said the department's policy is not to identify people by name if they are not jailed. He said the offenses at most would result in a fine and community service.