Prepare the light sugar syrup by combining the sugar and water in a sauce pan over a low-med heat. Do not stir. Allow the sugar to dissolve normally. Once the sugar has been dissolved take the sauce pan off the heat and allow it to cool completely.
Pour the cooled sugar syrup along with the pineapple pieces and lime juice in a food processor. Whizz until everything is pureed .
Pour the mixture into a shallow baking pan (mine measured 10″x6″ ) and allow to partially freeze (this took me approx 4 hours).
Remove from the freezer and scrape away with a fork. Serve in individual glasses garnished with some lime zest or mint.