Combine all ingredients in a large bowl, and stir well. Position knife blade in food processor bowl; add half of pineapple mixture, and pulse 3 times.
Pour mixture into the freezer can of a 2-quart hand-turned or electric freezer.
Repeat procedure with remaining pineapple mixture, and freeze according to manufacturer's instructions. Spoon into a freezer-safe container; cover and freeze (ripen) at least 1 hour.
